diff --git "a/data/dm_maths/full_data_1/10401_11255.jsonl" "b/data/dm_maths/full_data_1/10401_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10401_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Work out 0.02 * 3.8.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**3 - 4795*q**2 + 592280*q - 1733820 = 0.\nAnswer: 3, 142, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 565, -7\/4, 4, 14, 1 in ascending order.\nAnswer: -7\/4, 1, 4, 14, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 6:40 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/452241 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5724?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o - 3. Let g be x(11). Let d be (-36)\/(-8)*g\/(-6). What are the prime factors of d\/2 + (-15)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 548 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o**2 - 5*o. Let l(y) = -41*y + 1. Calculate p(l(h)).\nAnswer: -16810*h**2 + 1025*h - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 2. Let o(m) = -5*m - 12. Let l(h) = o(h) - 6*s(h). Let i(x) = -3*x. Let f be 20\/(-4) + 0 + 0. Determine f*i(j) - 2*l(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -207*a + 25. Let m(i) = 5. Calculate -4*m(g) + s(g).\nAnswer: -207*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252494*d - 65270 = 253029*d for d.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhihiviihh. What is prob of picking 2 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20714736, -20714730, -20714724?\nAnswer: -20714718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3084 = -4*a, 2*a - 3*z + 1542 = 4*a. Suppose 3*v = 96 + a. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 3*f - 4*f + 89784*f**3 + 2*f - 89781*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 12. Let s be x(-14). Let j(n) = -n**3 - 5*n**2 - n + 3. Let k be j(-4). Let o = s - k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 less than or equal to 573\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**9\/504 + 2*u**7\/105 + 7*u**5\/5 + u**2 + 1. Find the third derivative of v(g) wrt g.\nAnswer: -120*g**3 + 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 16. Suppose -r*p = p - 27. Let v(n) = n**3 - 8*n**2 - 8*n + 9. Let w be v(p). What is w rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12))\/(1\/2)*(-390)\/20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**16*r**(-8) assuming r is positive.\nAnswer: r**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*a*l**3*y**3 + 3*a*l*y**3 - 6*a*l*y**2 + 3*l**3 - 2*l**2*y**2 wrt l.\nAnswer: -246*a*y**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in -1223, -0.06, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Let n be (12\/b)\/(1 - 0). Let t = -20.48 + 21.48. Sort t, -2\/7, n, -2\/3 in descending order.\nAnswer: n, t, -2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/((-30)\/(-9)))\/((-12)\/8). List the prime factors of 310 + x\/(2\/(-12)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -47*((-6 - -5) + 0) + 4. Solve 10*d - m = -1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28, 98, 214, 376, 584, 838?\n\"Answer: 23*k**2 + k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3) - 1)\/(16 + -18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d. Let p(j) = j + 6. Let q be p(-4). Let o(v) = -v**q + 414*v - 414*v. Give x(o(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233572 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: What is the common denominator of -95\/15378 and 127\/785210?\nAnswer: 25911930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 13\/23 (b) -1 (c) -57\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/10 - i**4\/5 + 9*i**3\/10 + i**2\/5 - 4*i\/5 = 0.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*q**3 + 9*q**3 + q**3)*(2*q - 5*q + 7*q + (2 - 2 - 6)*(3*q - 4*q - q) - q - 1 + 1).\nAnswer: -105*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 565729.3ml?\nAnswer: 565.7293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 33, 1\/31, -3?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 4123*g + 61619. Determine z(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4072 and 2858544.\nAnswer: 2858544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1) - 2*-2. Let d(h) = -h + 7. Let q be d(7). Let z be 2\/6 - (0 - 28\/6). Solve q*o + 20 = 2*o + 4*n, z = m*o - 5*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7490.865 - -2.\nAnswer: 7492.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 7996.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 + 490*z - 4*z**3 + 3*z**3 - 1470*z + 487*z + 494*z.\nAnswer: 4*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -283\/61101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 2*l**5 - 4*l**5 + 5*l**3 + 4*l**5 - 5*l**3 + (2*l**4 + 2*l**4 - 5*l**4)*(-3*l + 0*l + 0*l).\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002947478 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -92, 10, 29, -40, -5 in descending order.\nAnswer: 29, 10, -1, -5, -40, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 10*d**2 + 11*d. Give a(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14992?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 79611*f**3 - 153*f - 1683. Let c(s) = -2095*s**3 + 4*s + 44. Determine -4*b(q) - 153*c(q).\nAnswer: 2091*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 14*i**2 + 6*i**2 - 28*i**2 + 9*i**2. Let r(c) be the third derivative of -c**4\/24 + c**3 + 5*c**2. Determine x(r(d)).\nAnswer: d**2 - 12*d + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, t: 10}. Give prob of sequence itti.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-21 - -15)) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*p = 6838 - 17398. Solve 265 - p = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 3 = 5*f, 5*f - 40 = -5*k. What is the third derivative of 0*i**2 + i**4 + 2*i**4 - 2*i**2 - i**k wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2575442, -5150886, -7726330?\n\"Answer: -2575444*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001371332562 rounded to seven decimal places?\nAnswer: -0.0001371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:08 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, b: 3}. Give prob of sequence sbbs.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2 + 334994*s = 0.\nAnswer: 0, 167497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 351977173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/11 - 3\/55. Suppose -2*k - 2*k + 7 = -5*y, 5*k + 2*y - 17 = 0. Sort v, k, -5.\nAnswer: -5, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 0, 11\/3 in descending order.\nAnswer: 4, 11\/3, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 9*q**2 + q - 4. Let i(r) = r**2 - 13*r - 39. Let b be i(16). Calculate s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(-4 + sqrt(11) + (sqrt(11) - (1*sqrt(11) + sqrt(11))) + sqrt(11))*4.\nAnswer: -24*sqrt(11) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -998 divided by -1.\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 2*w - 6. What is the remainder when p(-5) is divided by (-13)\/91 - (-50)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 1. Suppose -2*d - 21 = w*t, -d - t = d + 1. Suppose 0 = -2*y - 2*f - 2, -3*y + d*y = 2*f + 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2547.8243 rounded to the nearest 10?\nAnswer: -2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z = -4 - 380 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62526 and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(sqrt(5)*3)**2 - sqrt(5)).\nAnswer: -185 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 368 + 808 = 0. Suppose 3*r - 278 = 5*d, -3*r - 3*d = -0*d - k. Is 24 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*(s*s**5)\/s)**(-3\/20) assuming s is positive.\nAnswer: s**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 60. What is the lowest common multiple of 33 and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223924 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = a - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 1. Let u(m) = -m**3 - m**2 + 2*m + 3. Let i be u(-3). Suppose h = -4*x - 0 - 3, 2*x + i = -5*h. What is k(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3369 divided by 99.\nAnswer: 1123\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/900)\/(14\/(-40))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -428069.948 to the nearest one thousand.\nAnswer: -428000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.59 - 0.79. Suppose 2 + 18 = 5*r. Suppose -3*g = -g + r. Which is the third smallest value? (a) g (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*a - 29, 6*d = -3*a - 7 + 64. Solve -4*z + 6 = a*u - 24, -3*u - 14 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p - 14*p - 3*p + 20*p. Let s(j) = -15*j. What is s(a(u))?\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 390, 831, 1456, 2271, 3282, 4495?\nAnswer: 5916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1. Let z = 2.38 - 2.28. What is the closest to x in 1, 1\/8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijjiji. Give prob of picking 2 i and 2 j.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*c + 703 = 0, 0 = 4*c + 1 - 5. Calculate the least common multiple of 12 and v.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 11:52 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 16 = -j. What is the units digit of (1*j\/(-1))\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -h - 207, 4*h - 62 = -90. What is the greatest common divisor of m and 1368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296353 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7531\/297 + 294\/11. Find the common denominator of 61\/51 and h.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13220, 13224, 13228, 13232, 13236, 13240?\nAnswer: 13244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 48*s - 1881. Calculate g(39).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 11 = -3*h + 2*o, -2*o = 4*h - 4. Suppose -11 = h*g - g - 3*v, -5*g + 5 = -v. Solve -2*n + 4*n - 5*i = -35, 0 = -g*n - i - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 1188*y**2 - 12252*y - 29232.\nAnswer: 3*(y - 12)*(y + 2)*(y + 406)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22082, 177258, 598488, 1418798, 2771214?\n\"Answer: 22171*v**3 + v**2 - 24*v - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3 - 4 - 5*n - 10 + 15*n. What is the units digit of k(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347 + -236. Let j = -87 + n. What is the highest common factor of j and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12245 - 61227\/5. Which is the closest to j? (a) 4 (b) 3 (c) -2 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981789504 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*b + 15, 3*g - 2*g - b = 9. Suppose g*q = -5*f + 36 - 1, 3*q - 13 = -f. List the prime factors of -3 - ((44*-15)\/f + 3).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3 + 3 - 8*k. Let u(v) be the second derivative of 0*v**2 + 2 + 1\/6*v**4 + 4*v + 0*v**3. Give u(b(x)).\nAnswer: 128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 67*x**3. List the prime factors of b(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(((-14)\/(-4))\/7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10930 + 32789\/3. Sort -0.1, m, 0.2, 1\/13, -15.\nAnswer: -15, m, -0.1, 1\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 25*p + 30. Let t(a) = 8*a + 10. Let x(k) = -10*t(k) + 3*w(k). Let b be x(-7). Suppose -5*q + b = -150. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 - 871*b**2 - 828*b + 170909. Determine t(436).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -29*w**2. Let d(z) = 0*z**2 + 42*z - z**2 - 42*z + 0*z**2. What is h(d(t))?\nAnswer: -29*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2260\/(-70) + 6\/21. Put t, -3, 1 in descending order.\nAnswer: 1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**3 - 2*j**3 + 5*j**3 - 12*j**3.\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-5))\/((156\/30)\/(-13))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 259456 or 28?\nAnswer: 259456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4866 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1356600 and 3060?\nAnswer: 4069800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 128139181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srfr when four letters picked without replacement from {s: 1, r: 5, f: 6, w: 6}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.67*1694.\nAnswer: 1134.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 5*s**4 - 2*s**3 - 2*s + 68 + 2*s**4 + 2*s**4 to the form b*s + u*s**3 + x*s**2 + q*s**4 + i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4)*1*(-3 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 8) to base 2\nAnswer: 1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1340*c*r + 557*c - 7878*r + 20 wrt c?\nAnswer: -1340*r + 557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -12 (c) -1 (d) 2.082 (e) 64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3. Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*o = -795, 0 = 3*g + 3*o - 521 + 68. List the prime factors of g.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 536 = -33*q + 35*q, 5*q - 1348 = 3*z. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z\/(z\/(z**0*z*z)*z)))\/z*z)\/z*z**0)\/(z**(-2)\/z**(5\/3)) assuming z is positive.\nAnswer: z**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187460 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 1.2 in decreasing order.\nAnswer: 1.2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1694 - 1691. Which is the closest to -0.7? (a) -0.4 (b) 0 (c) m (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 563, 566, 575, 590?\n\"Answer: 3*m**2 - 6*m + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:12 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*(4*(sqrt(13) + -2) + sqrt(1300) + (sqrt(1300) - (sqrt(1300) - (sqrt(1300) + 2))))*-2)**2 + 2).\nAnswer: -92160*sqrt(13) + 2407690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476\/(-3094)*3\/1.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 835656 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 293.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26745 - 629*b + 316*b + 314*b + 26745.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3449\/2*(0 - -1). Let w = q + -1758. Calculate the common denominator of -25\/2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 22*z**2 - 9*z + 13. Let u(p) = 5*p - 1. Give a(h) + 2*u(h).\nAnswer: 22*h**2 + h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/140 - 5*i**4\/42 + i**3\/42 + 5*i**2\/7 - 12*i + 122. Factor k(w).\nAnswer: -(w - 1)*(w + 1)*(w + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-2\/17)*a))\/((a**14\/a)\/a) assuming a is positive.\nAnswer: a**(-219\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 4*j**4 + j**4 + (2*j**3 - j**3 - 3*j**3)*(2 - 2 - j) + (-j**4 - 3*j**4 + 3*j**4)*(8 + 8 - 4).\nAnswer: -11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 172, -89, -530, -1145, -1928, -2873, -3974?\n\"Answer: w**3 - 96*w**2 + 20*w + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 965176715 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.429, 0.3, -1\/2?\nAnswer: 0.429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 - -208. Let k(v) = -v**2 + 7*v - 4. Let l be k(6). Solve 0*f - l = f + m*u, 2*u = 4*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 11 + 1, 10 = 2*t - 5*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46913\/15 + -3131. Let x = 11\/3 + l. What is the third biggest value in 0.4, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 0 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + 50\/(-4))\/(245\/(-98))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2321274 + -2320021.489. Let o = 1252 - s. What is o rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*w = -23, 4 + 8 = 3*w. Let d be ((-9)\/n)\/((-6)\/86). Suppose 1 + d = 4*q. Calculate the greatest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**5\/20 - 3*p**4\/4 - 13*p**3\/6 + 35*p**2\/2 + 6*p - 53. Calculate r(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -883.4 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5999, 15878, 25705, 35474, 45179, 54814, 64373, 73850?\nAnswer: 83239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(11)*4 - sqrt(11)))*-1 - ((-2*(sqrt(11) + sqrt(11) + -3))**2 + sqrt(11))*1.\nAnswer: -213 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - ((-17 - -26 - (-1 - -16 - 3)) + 11)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 636134?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 - 17 - 6 - 14*u**3 - 19.\nAnswer: -14*u**3 - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28805 by 5761.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 8408*y**4\/9 + 1193948*y**3\/9 + 2665904*y**2\/3 + 757988*y + 1080 = 0. What is y?\nAnswer: -135, -6, -1, -3\/2102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at most -2193353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1035 * -13317\nAnswer: -13783095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19346, 19359, 19372?\nAnswer: 19385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.3, 0.2, 1712 in ascending order.\nAnswer: 0.2, 0.3, 7, 1712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8068814 millennia?\nAnswer: 9682.5768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 2*d + 47. Let b be c(0). Let u = b + -35. Solve r - u = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*s + 71*s - 429. Solve 0 = s*b + 4*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 - -6.09. Let h = s + -6.4. Let q = 37 - 112\/3. Which is the second biggest value? (a) h (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -8, 0.4, -0.5703 in ascending order.\nAnswer: -8, -0.5703, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111750384*r - 24*r**3 + 8 - 8 - 111750384*r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -104*k - 5. Let c be t(-4). Suppose -3*j - 3*a - 423 = -4*j, j + 3*a - c = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5744 and 12100096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1353*t + 102740. Calculate q(-76).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1652518.63 to the nearest 10000.\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 482. Let n be q(0). Round n to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35015, -34946, -34879, -34814?\nAnswer: -34751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/(-12)*21*3736\/(-36)?\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**2 + 2204*x = 0?\nAnswer: 0, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 400497804 a multiple of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -1 + sqrt(5) + -5 + 3 + -2*sqrt(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/4)\/((-9)\/(-24)). Let o be 6 - 2 - (j - 0). What is the highest common factor of 14 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23894 (base 10) to base 13\nAnswer: -ab50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 23*r**2 + 8*r + 66. Determine m(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -5 + -14 - -14 - -30\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - h = -316, -16 = -h - 14. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1200*h**2 + 7326293*h - 7326293*h.\nAnswer: 1200*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 6:23 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -1467.\nAnswer: 14\/1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26 + 27)\/(-3 + 1 + -2). What is the nearest to -1 in 4\/3, 1.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 33 + 13)*(0*l - l + 2*l) + 50*l + 28*l - 8 - 83*l in the form m + w*l and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18815231458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*q - 3*q. Suppose 3*f - a + 9 - 86 = q, -4*f = -5*a - 110. Suppose c = -0*c + 2*y + 15, -y - f = -4*c. Solve -c*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -7\/3*m**3 + 3 - 5*m + 0*m**2. Differentiate c(p) with respect to p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2990735 (base 13) to base 14\nAnswer: -1a9000b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y - 3 = -5*f - 57*y, -f - 3*y + 12 = 0. Solve -24*r - f = -75 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*(-5 + (-2 - 13\/(-2))). Let i(b) = -19*b + 3. Let y(k) = -21*k + 5. Let s(t) = p*y(t) + 6*i(t). Let g(w) = 8*w + 6. Give 6*g(m) + 5*s(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26563015 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1103235\/(-111720)*(7 - (0 + -1))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1366635\/52 - 26283. What is the common denominator of x and 115\/442?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34546143 - -12?\nAnswer: -34546131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 11 + 5 = 0. Determine t, given that 0 - 2\/5*t - 2\/5*t**b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22847, -182430, -615587, -1459106, -2849775, -4924382, -7819715, -11672562?\nAnswer: -16619711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:38 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*a + 542*a + 102663 = -160*a - 37*a for a.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*n**6 + 593*n**5 - 8*n**3 - n**2 - n + 7418 wrt n?\nAnswer: -4920*n**3 + 35580*n**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 302978191.54 + -302978211.690000919. Let v = i - -20.15. Round v to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 7:29 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -2*k + 4*y + 11, 10 = k + 3*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjjjjxjpjjjjjojjxp. What is prob of sequence ox?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 183*h**7\/14 + h**5\/10 + h**3\/3 - 154*h**2 + 5*h + 11. Find the second derivative of z(r) wrt r.\nAnswer: 10980*r**3 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1180, 9442, 31872, 75556, 147580, 255030?\nAnswer: 404992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182 - 183. Let s = y - -606. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182 + -182. What is the closest to -0.3 in -0.2, -0.1, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 728412373?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/6 - t**3\/3 + t**2\/6 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 221.5 - 222. Which is the nearest to 1? (a) 0.4 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7*h + 1 - 103 + 15 - 1 + 16.\nAnswer: 7*h - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92388.23 milligrams to nanograms.\nAnswer: 92388230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxnx when four letters picked without replacement from {a: 2, n: 1, f: 4, x: 3, s: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 e, and 1 t when three letters picked without replacement from tteteetesetett?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141 and 837?\nAnswer: 39339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r + 1. Let c(k) be the first derivative of -4*k**3\/3 - 4*k**2 + 7*k + 1437. What is -c(p) + 5*v(p)?\nAnswer: -p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93 - 5c57e?\nAnswer: -5c611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - p - 28, o - 7 = 3*p + 7. Let j(g) = 3*g**2 + 5 + 34*g - g**3 + 5*g - 34*g. What is j(o)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3400 divided by 1700.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1269026 and -29\/4153176?\nAnswer: 45684936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*y - 204*y = 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from oaaaaaaoaaoaoaaaaa.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (54\/5)\/(3\/20). Suppose 3*v - r = -3*h + 6*v, -15 = 5*v. Let o = h - 13. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*q + 129*q + 821 + 115 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*j**3 + 2233 - 4*j - 1116 + 12*j**3 - 1116 to n*j**2 + b + o*j + w*j**3 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) - (sqrt(648)*2*-6 - sqrt(648)))\/(sqrt(20)\/(sqrt(55)\/(sqrt(275) + sqrt(11)) + sqrt(5))).\nAnswer: 147*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0 + 0*w - 129*w**2 - 1\/24*w**4 + 61\/3*w**3. Let h(m) = -m. Determine h(d(p)).\nAnswer: p - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4486340868 to the power of 1\/2, to the nearest integer?\nAnswer: 66980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -43, -1, 3, -2, 0 in decreasing order.\nAnswer: 3, 0, -1, -2, -18, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29871\/10 + -2987. Let v = 3.9 + -1.9. What is the second biggest value in 0, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -5. Suppose -7*k = -5 - 72. What is the greatest common factor of k and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313 + -268. Suppose -a*k + 14 = -44*k. Solve -15*x + k*x = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (1 - 0) - (1239 + 2). Let r = z - -2604. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116183733 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 59*d**4 + 10 + d**3 - 43*d**4 + 113*d**4 to i + k*d**3 + s*d**4 + b*d**2 + u*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + r)*(-70*r + 10*r**4 - 45*r**4 + 34*r**4).\nAnswer: -r**5 - 70*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1503479 * 0.3\nAnswer: 451043.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.72 - 165.28. Let n = 161 + q. Which is the second smallest value? (a) -0.4 (b) 147 (c) 3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4352 = 74*i - 6*i for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(128)*3)**2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:50 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (sqrt(1053)*-3 + -2 - (-5 + sqrt(1053) + 0))*5)**2 + -1.\nAnswer: -1685201 + 14400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14\/9, 0.4, -2\/57, 0.2?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -37, -1, 2\/5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-335)\/(-35) - 1)*7. Let c = z - -20. What is the remainder when c is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**5 - a**2 + 702*a wrt a?\nAnswer: 180*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 22*i + 18*i = 14, 15 = -5*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142158073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.4 - -6.4. What is the second biggest value in g, 0.5, 3, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17858512 (base 9) to base 8.\nAnswer: 42306345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89 and 9167?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 y when three letters picked without replacement from ycpccyycccpyp.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222.264 kilometers to micrometers.\nAnswer: 222264000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeoo when four letters picked without replacement from {e: 9, o: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Suppose b*d + 154 = 2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/82799 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (30\/180)\/((6\/8)\/(-1))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmssmsf. What is prob of sequence mms?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 2*s + s - 2*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/((-2)\/12). Let z = 49 - 46. Suppose 14 = 4*d + u + z, r*d - 5*u + 9 = 0. Solve 0 = -0*i + d*i - 3*b + 22, -2 = 2*i + 2*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -431889 or -431867?\nAnswer: -431867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*w**6 + 3*w**4 - w**2 - 36*w?\nAnswer: 2520*w**3 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-3))\/(16\/(-24)). Let j = -9 + 15. What is the remainder when (-2)\/4 - 33\/d is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29839 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.5 - 7. Let s = -0.11 + 0.11. What is the closest to 2 in 0.3, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1657*o - 4732 = 1995*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 203272*z**2. Let t(k) = 2*k. What is p(t(v))?\nAnswer: 813088*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 2*a**2 + 2*a - 2. Let s be j(2). Let v = 6 - s. Let m(i) = -i**3 - 13*i**2 - 10*i + 23. Let k be m(-12). Put v, 1, k in ascending order.\nAnswer: v, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 5*j**2 - 8*j + 9. Let g be c(6). Let r be 3*3\/g + 6 + -15. Let b be (r\/10)\/((-12)\/200 + 0). Solve -k + 4*w = -25, 5*k - w = -2*w + b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**4\/4 + 22*l**3\/3 - 5*l**2\/2 + 29*l + 14. What is the units digit of g(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341903 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 6*r**2 + 4*r - 3. Let h be m(-5). Let c(q) = 11*q + 9. Let z(t) = 1 - 3 + 66*t - 65*t + 4. Let u(b) = -c(b) + 4*z(b). Calculate u(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + 0. Let k = 0.56 + -0.16. Suppose 0 = -n - 4*n. Which is the nearest to n? (a) k (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 + 9*o**2 + 10*o - 1. Let c(s) = -s**3 - s**2 - s - 1. Let f(w) = -2*c(w) + q(w). Let x be f(12). Let b(p) = 0*p - 8*p + 6*p + x. Give b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40561884 to the nearest integer?\nAnswer: 6369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/1 + -113)\/((-62 - 2)\/(-4)) - -8.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v. Let m be -1471 + -1 - (v + -1). Let q = m + 741. Round q to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 15*n**2 - 40*n - 33. Calculate x(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, z: 2, d: 2, x: 7, w: 4}. What is prob of sequence wfdw?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/3)*n)\/n)**(-43) assuming n is positive.\nAnswer: n**(-215\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*41\/(-369))\/(((-38)\/(-54))\/(14\/(-21)))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244100 (base 5) to base 10.\nAnswer: 9275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19151\/8? (a) -2\/3 (b) -0.14 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -0.2, 2\/5, -3\/4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444 and 3463052?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15833?\nAnswer: 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d - 17. Suppose 2*r - 3*q + 8 = 0, -r - 58 = -2*q - 55. Let p(n) = -7*n + 18. Calculate r*p(x) - 6*g(x).\nAnswer: x - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 - 2*v**4 + 9*v**4 + v**4 + 0*v**2 + 0*v**2 + (-2*v**2 - 1 + 1)*(2*v**2 - v**2 + 0*v**2) + 2*v**4 - 5*v**4 + v**4.\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12280547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -621, -1207, -1793, -2379, -2965, -3551?\n\"Answer: -586*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3 + 18*d**2 + 3*d - 18 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + 3*o + 14. Is 22 a factor of c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-30) + (-10)\/(-3). Suppose l*s = -58 - 2. Calculate the common denominator of 7\/10 and (5\/14)\/((-5)\/s).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/((-11)\/627). Calculate the remainder when 1 - 1 - (2 - a) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -1. Let x(m) = -m**2 + 6*m + 3. Let h be x(6). Let r be (h\/(-2))\/((-1)\/110). Calculate the highest common factor of j and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-6.36446.\nAnswer: -114.56028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88156200*c - 88156200*c - c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 373, 747, 1121, 1495?\n\"Answer: 374*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 - 10*n**2 + 12*n + 5. Is g(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1794 divide 35079634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3 + 139*l**2 + 67*l - 24. Calculate the remainder when 4393 is divided by x(35).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/747 - 9591\/(-1909). Which is smaller: 324\/71 or i?\nAnswer: 324\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-374)\/(-1360)*-20*(-16)\/22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277363, -277359, -277353, -277345?\nAnswer: -277335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 138 + 407. Let n = k + 211. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 4*y - 44, -2*y = 291*b - 286*b - 64 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -73c897?\nAnswer: 73c89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r + 3. Suppose 3*o = -8*o + 231. Calculate the remainder when d(6) is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1587 and 47219.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(6912) + -4 + -2*-2*sqrt(6912))**2.\nAnswer: -960*sqrt(3) + 172804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q - 2*n - 5 = 0, -7 = q - 2*n. Let v be (7\/3)\/((-1)\/q). Let b(t) = t - 3. Let a be b(v). Calculate the highest common factor of 12 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 + y**4)*(-8 - y + 8) + 3 - y**5 - 3.\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + -8 - 4*-1. Suppose -37*s - 2 = -38*s. Solve -n = -s + f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16310 + -16310.1. Is c < 5758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)\/(-4) - -2. Let y = 6 - p. Calculate the remainder when 34 is divided by (8 - 2)*6\/y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 153.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 s when four letters picked without replacement from {t: 5, b: 4, o: 5, s: 6}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/61)\/(((-2)\/(-5))\/(30\/(-3)))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1530 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38.91 - 1.51. Is 2\/5 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + 31. Let v be ((-5610)\/11)\/(125\/(-50)). What is the highest common divisor of v and u?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) 3 (c) 0.5 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345428.3 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + b**3 - 20*b**2 + 20*b**2 as q*b + h + x*b**2 + o*b**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23\/29794743 or -1?\nAnswer: 23\/29794743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245 + 383. Let o = 265 - -581. Suppose o - v = 6*h. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 9*x**2 + 9*x + 2. Let u(s) = s**3 - s**2 + 2*s + 8. Let h be u(0). Let l be p(h). Let m be 2\/25*l\/(-6). Are m and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21\/8*n**2 + 0*n - 3\/8*n**3 + 0 = 0. What is n?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -435 by -5.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -426. Let d = i - -319. Solve -2*y = 3*o - 4 - 3, -y + d = 3*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -19.9. Let m be -5 + -5 + 12 + (1 - 4). Is m greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 101\/3 - 4\/6. Suppose 89 = 2*z + f. Let g = z + -11. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-18))\/(c\/c**(-30)) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/(1295\/35)*(-6)\/6*-9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (166 - 36) + -21 + (4 + -3 - -22).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*r + 168 wrt r.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j. Let v(s) = -1064*s. Give v(k(o)).\nAnswer: -2128*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24590, -24590, -24588, -24584, -24578, -24570, -24560?\nAnswer: -24548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 30*z + 1 + 10*z**3 + 25*z**2 - 5*z**3.\nAnswer: 5*z*(z - 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 2)*(-6)\/5. Is (-773)\/t + (-3)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*z**3 + 178*z - 90*z + 0*z**3 - 88*z - 19*z**3.\nAnswer: -64*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/5 equal to -443546\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/5 (b) 2 (c) 1\/6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 8:33 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3 (c) 1\/11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.44384 times 1?\nAnswer: 150.44384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2998*j + 20359 - 53681 - 44626 = 0 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - -23.5. Let i = 24.00000026 - o. What is i rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -630*g**2 - 112. Let s(c) = -28*c**2 - 5. Let h(w) = 112*s(w) - 5*z(w). Let q(f) = 5*f**2 + 3 - 3. Give -4*h(j) + 11*q(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (20031\/(-12))\/(58\/(-232)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*a + 264*a + 277*a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w - 554 - 35 = -0 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 80 = 7*n. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 1.1. Let y = -2.145225 - -1.8452. Let u = k + y. What is u rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*k - 1932 = 948 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -187, -174, -107, 20, 213, 478, 821?\nAnswer: 1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 34*j + 111. Determine a(19).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1173588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -33172 (b) 0 (c) 2\/11 (d) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**6\/120 + 17*c**5\/60 - 2*c**4\/3 + 11*c**3\/6 - 4*c**2 + 22. Give o(-18).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402107 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -191 + 1717\/9. Suppose 4*l - 28 = y, l - 8*y - 21 = -6*y. What is the nearest to 6 in l, -0.3, t, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 41770456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.394813t to micrograms.\nAnswer: 1394813000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25370670*h**3 + 30398532?\nAnswer: 76112010*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-34)\/(-3))\/(1*14\/21). Are o and 17 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(16\/(-18) + (-6)\/(-27)). What is the derivative of 28 - 2*m**b + 4*m**3 + 12*m**3 - 9 wrt m?\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 42306*m**2 + 338427*m\/2 + 211520.\nAnswer: (m - 84608)*(m - 5)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010110001 (base 2) in base 15?\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, -3\/83, 0.16 in ascending order.\nAnswer: -0.5, -3\/83, 0.16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*m**5*r**2 + 182*m**4*r**2 + 135*m**2*r - 5*r**2 wrt m?\nAnswer: -360*m**2*r**2 + 4368*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 779, 897 in descending order.\nAnswer: 897, 779, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 4*t - 3. Determine k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 6*g**2 - 12. Calculate the remainder when 60 is divided by v(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 406 - 291. Suppose 121*g - w*g = 0. Let v(c) = -3*c + 3. Let d be v(2). Sort -5, d, 4, g in ascending order.\nAnswer: -5, d, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4.6, 7, 3, -2\/13, -4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnyt when four letters picked without replacement from {k: 4, t: 5, y: 1, n: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**4 + 4 + 2*n**2 - 6*n**2 - n**3 - 3 - n + 3 to w*n**2 + o*n**3 + x + j*n**4 + f*n and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b0 (base 15) to base 16.\nAnswer: -1158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*r - 9. Sort 12, r, -3 in descending order.\nAnswer: 12, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -374*o + 363*o + 65, -2*o - 5*r - 34 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v - t + 48 = 0, 0 = 5*t - 45. Solve 0 = 2*y - 15*y + v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w + 243. Let q be o(-30). Let r = -3.6 - -4. Which is the second smallest value? (a) r (b) 1\/6 (c) q (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 + 70*g**4 - 3*g**3 - 212*g**2 - 140*g.\nAnswer: g*(g - 2)*(g + 1)**2*(g + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 12789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04367 and -0.02.\nAnswer: 0.0008734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11618, -94159, -318194, -754469, -1473730, -2546723, -4044194?\n\"Answer: -11791*a**3 - a**2 - a + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -483908 - -883508. Round b to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*t + 2, -4*t - 40 = -5*q - 12. Solve q*v + 9 = i, 2*v - 3 = -2*i + 5*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776572207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 5*v**3 + v)*(-5*v - 7*v - 2*v) - 6*v**4 - 5*v**4 + 3*v**4.\nAnswer: 62*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6036*f**3 + 5*f**2 - 10156*f - 1 wrt f?\nAnswer: -36216*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -756, -755, -754, -753?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10 - 558\/54)\/(2\/(-86718))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -3. Let k be (33\/45 - 6\/15)*0. Which is the closest to u? (a) 0.5 (b) k (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -150 greater than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - -75. Suppose 4*l = 2*l + j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*b**3 - 69*b**2 - 1453?\nAnswer: 18*b**2 - 138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9*r + 6. Let y(l) = -2*l. Determine 12*y(t) - 3*z(t).\nAnswer: 3*t - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 1}. What is prob of sequence yx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 4*u - 4*u)*(767 + 1881 - 1047)*(5 - 4 + 0).\nAnswer: 3202*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 2. Let t be h(-12). Solve -g - 4 = k - 10, 0 = 5*g - 5*k + t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4900)\/sqrt(7) + (sqrt(280)\/sqrt(10))\/sqrt(4).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 543.9311 + 0.0689. Let n = -704 + c. What is the smallest value in 2\/9, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from kktkkkpkrpktvg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 504?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6846495 rounded to the nearest one thousand?\nAnswer: -6846000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 204 - 34 = 0. Suppose -2*l**3 + 5*l**2 - 5*l**3 + 25*l - 3*l**3 + 0*l**3 + x = 0. What is l?\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 7 = 5*w. Suppose 4*s + 24 = 5*s - 5*i, 0 = 4*i + 16. Suppose -s*u + w = -8. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187\/11 + 40\/(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 7*j**2 + 9*j + 10. Let q be g(8). Let v = 29 - q. What is the greatest common factor of v and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c + 1758*c + 1217*c - 300645 = -616*c for c.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -49, 6357 in ascending order.\nAnswer: -49, -4, 2, 6357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.214 times 2.2?\nAnswer: -0.4708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1265*h**3 + 979*h**3 - 3148*h**3 + 1177*h**3.\nAnswer: 273*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 2*g + 2*d + 19, 4*g - 3*d = 77. Solve -3*y = -5*f - 5, g*y - 19*y = -3*f - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + sqrt(114)*-2*6 + sqrt(114) + sqrt(114))\/(3*sqrt(24)\/sqrt(4)) - -4*-2*sqrt(1216)*-4.\nAnswer: 253*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3 - 3 - p. Let m(h) = 73395*h**2 + 73256*h**2 - 146517*h**2. Give k(m(n)).\nAnswer: -134*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/3)\/(2\/(-4)). Put g, -3, -1, -2 in ascending order.\nAnswer: g, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127332122?\nAnswer: 2, 89, 149, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 320*r**3 + 5 - 323*r**3 + 6*r - 8. Let c(n) = 4*n**3 - 5*n + 4. Give 2*c(x) + 3*f(x).\nAnswer: -x**3 + 8*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -166*(-3)\/6*1\/1.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7877*a**6 + 4897927*a - 4900614*a - a**2 + 2*a**4 + 2*a**2 - 2*a**4 wrt a.\nAnswer: -945240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*a = 37*a - 285*a - 3414 + 3898 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/7)*v*v*v\/v**(-10)*v*(v**(-2\/5)\/v)**(14\/3) assuming v is positive.\nAnswer: v**(874\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4881483 and 66729.\nAnswer: 63459279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*r + 5*r. Let y be (-1889)\/r + 1\/7. Let q = y + -114. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1312*d + 49. Is h(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 5 (c) 287\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = 4*p - u, 4*p + 259*u - 256*u = 300. Let h(k) = -k**3 + 5*k**2 - 1. Calculate the remainder when p is divided by h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405231547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 1 - 3*v + 2*v + 3*v. Let j(b) = -9*b**2 - 89*b - 177. What is the remainder when j(-6) is divided by k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**3 - 5*j**2 + 35*j + 375. Let x(h) = 31*h**3 - 16*h**2 + 112*h + 1126. Give -16*f(z) + 5*x(z).\nAnswer: -5*z**3 - 370","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8597070 by -1873.\nAnswer: -4590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-208923)\/(-351) + 2\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8810 and 8594 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 468182 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + 7 + 183 + -7. Suppose -l - 87 = -n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4206772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232 and 32?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 2. Suppose 4*q + 12 = 4*j, 0*j - 4*j + 18 = -2*q. Calculate u(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2)*(3738 + 1). Let k(l) = -78*l**2 - 6*l + 2. Let y be k(-5). Let i = y - w. What is the common denominator of -133\/18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**5 - 48*b**4 + 40*b**3 + 480*b**2 - 36*b - 432 = 0. Calculate b.\nAnswer: -12, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 125 = -41*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 1:30 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 69*z + 352 = 0. Solve 5*i - s = -17, s = 2*i - 3*s - z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3. Let f(o) = -3 + 2 + 0. Suppose 0*x = 2*x + 2. Let h(i) = x*d(i) - 2*f(i). Differentiate h(u) with respect to u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/87*-1*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9150 times 0.5?\nAnswer: 4575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3595865*s - 3595865*s + 284*s**2 as k + x*s + j*s**2 and give j.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 5 (c) 2\/3 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132780485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*w**2 - 3*w**3 - 90*w**2 + 7*w**3 + 3*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*c + 792 = -164*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - -0.1. Let r = l - 5.9. Let v = -2.5 - -2.7. Which is the second smallest value? (a) -0.5 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 1992255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -1, 0, -36, -7, -3 in descending order.\nAnswer: 6, 0, -1, -3, -4, -7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let o be 52\/2 - 2314\/89. Let w(g) be the second derivative of o - 18*g + 0*g**3 + 0*g**2 - 11\/6*g**4. Give a(w(s)).\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0545 + -0.0455. Let i = -2 + 5. What is the nearest to a in 1\/3, i, -2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1457*j = -1455*j + 20. Let s be ((-38)\/6 + 8)\/(j\/(-24)). Sort 31, -2, s, 3.\nAnswer: -2, 3, s, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33019 = -5*j - 4*n, 0 = 2*j + 3*j - 3*n + 33047. Let s = 2344 - j. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 85 = -3*i, 0 = -3*f - 2*f + 13*i + 80*i + 5*i - 2274 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 176 - 14. Solve 0 = -2*l + 2*a + 8, q = 2*l - 5*a - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s**4 - 1\/40*s**6 - 1\/6*s**3 + 0*s**5 + 0*s + 0 - 4*s**2. What is the derivative of j(h) wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -12*o - 20. Let j be (2\/(-3))\/(o\/111). Let h = 216 - j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 74 + 66 = 0. Suppose -2*d - f + 120 = 0. Calculate the remainder when d is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*7.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 2 (c) 1\/4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i. Let v = 128 + -74. Let n(b) = -v*b + 98*b - 53*b. What is n(q(m))?\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1220121022 (base 3) to base 8\nAnswer: -111363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -337.\nAnswer: -4\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 100?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222 (base 4) in base 8?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -8. Let c be (-1 + 0 - -2)*-5. Let b be ((-2)\/c)\/(42\/(-35)). What is the closest to -0.1 in p, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) + (-41)\/((-1640)\/(-70)). Sort -0.4, p, 12.9, -5 in increasing order.\nAnswer: -5, p, -0.4, 12.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-1680))\/((-6)\/(-18))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/10*4\/6*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -130*u + 61. Let b be o(-9). Suppose 5*t + 8 + 2 = 0, -3*f - t + b = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117.31338216 - 0.88667154. Let w = z - -118.2. What is w rounded to six decimal places?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.9. Let i = -0.02 - 3.98. Which is the closest to 2? (a) -1\/4 (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from odddooddooooo?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 103629 from -0.0581.\nAnswer: -103629.0581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -279279, -558556, -837829, -1117098, -1396363?\n\"Answer: 2*j**2 - 279283*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 m when four letters picked without replacement from txtxmtxxttttxttxmtt?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 20*o**2 + o + 2395. Let w(f) = -29*f. What is w(j(s))?\nAnswer: -1160*s - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2 - 2)*(-2 + 2 - s) - s**2 + 2*s + 4*s**2 - s.\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 6*x**2 - 2*x - 6. Let f be t(-6). Suppose 0*r + 2 = 2*r. Let v be (-6)\/(f\/(-2 - r)). Solve 3 = -v*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 40*m**3 - 8*m**3)*(40 - 18*m - 41 - 2*m).\nAnswer: -700*m**4 - 35*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0 + 2. Let d(g) = 22*g + 476. Let w be d(-21). What is the highest common factor of w and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 + 424*d**2 - 3054*d + 2628 = 0.\nAnswer: -219, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 430362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6673, -6824, -6979, -7138, -7301?\n\"Answer: -2*m**2 - 145*m - 6526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3573404530.\nAnswer: 2, 5, 4111, 86923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 5*f + 7. Let o be q(-10). Let w = -40 - o. Solve -w + 0 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*t = 27, -2*o - 2*t + 29 = -3. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206651555 by 3.\nAnswer: 206651555\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l + 3. Let o be u(-1). Suppose 66 - 15 = -3*m. Let p = m + o. Sort -1, p, 4.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13440 and 56280.\nAnswer: 900480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55 - -252?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16a7 + 0?\nAnswer: -16a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -15*g**2 - g**3 + 869 - 1645 + 759 + g. Determine o(-15).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 2520?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -571*t**2 + 19*t - 5?\nAnswer: -1142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4489185 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -18 + 7 - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 22 - (-8 - -6)) + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-1)*33\/36. Let a = 527\/42 - g. Suppose 0 = m + 1, d - 3*m + 6 = -8*m. What is the closest to d in -5, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) - 74\/(-555)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*w + 90 + 32 = 0, 5*w - 123 = -2*t. Suppose -4*z - z + 140 = 0. Let k = z - 11. What is the remainder when t is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 2. Let w = v - -1.6. Let q = 0.4 + w. Which is bigger: -0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**3 - 8*y**2 + 339*y + 2704. Is f(-8) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 12.99 (c) 1387 (d) -5 (e) 4\/3 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 - 389*f + 980 - 526*f + 393*f - 251*f - 203*f = 0.\nAnswer: -245, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*j + 30 = 0, 3*w - 34*j = -39*j + 22. Let u(b) be the first derivative of -3\/2*b**2 + w*b - 14. Find the first derivative of u(s) wrt s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 4*s**2 - 2*s + 11. Let g be b(3). Suppose 4*c = -p - c + g, 5*c - 35 = -5*p. What is w in -1\/2*w**p + 0 + w**2 - 1\/2*w = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*10843.\nAnswer: -6505.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822953 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-3))\/(-1)*-103. Let f = q + 282. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 16. Suppose 3*w = j*w + 4. Suppose w*b = 3*a - 18, a + 9 = 4*a - b. Solve 6 = a*t - 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176252 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**7\/42 + a**4\/12 + 91*a**3\/6 - 106*a**2. Differentiate g(z) with respect to z.\nAnswer: -20*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2\/7 - 16*j\/7 + 40\/7 = 0?\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -152439, -152463, -152503, -152559, -152631, -152719?\n\"Answer: -8*o**2 - 152431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4 = 2*b, 0 = 9*n - 4*n + b + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39478 is divided by 12776?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-3)*(-11)\/(-1122)*17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 32 = 4. Solve 6*a + t*a + 36 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 = -6*p + 515. Solve p = 5*m + m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30021 (base 4) to base 16.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-5)*5\/(-2). Let j(f) = 4*f + f**2 - 6*f - q + 6*f. Let u be j(-4). Sort -5, 2, u.\nAnswer: -5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(19)*-2 - sqrt(19)) + 5)**2.\nAnswer: -54*sqrt(19) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006648 to 5 dps.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 8 + (-108 - -82).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*q + 246, -3*l + 159 = 2*q - 62. Let x = -896 + 945. What is the least common multiple of l and x?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.393965 and 1.662.\nAnswer: 12.055965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75373171693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let g be 1*-2 + 3 + l. Let o(u) = -22*u + 1. Let q be o(-1). Solve 0 = 2*c - m - g - 3, -5*m = 2*c - q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-18)*-2*4\/140. Which is the biggest value? (a) u (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmjmm. Give prob of picking 2 m, 1 t, and 1 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.368 + -3.368. Let a = -0.239 + -0.161. Sort -2, 0.3, a, m.\nAnswer: m, -2, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 6*r**2 - 7*r + 2. Let g be h(7). Let x(d) = -3 + 3*d + 5*d**2 + g + d**3 - d. Let m = -5 + 3. Determine x(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -19*s. Let k(x) be the second derivative of x**6\/360 - x**3\/2 - 9*x. Let h(j) be the second derivative of k(j). Calculate h(t(a)).\nAnswer: 361*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3\/2 (b) -1\/4 (c) 0.00445\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238.993 kilograms in nanograms?\nAnswer: 3238993000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 67\/(-2)*(-4)\/(-1). Let z = 167 + w. What is the remainder when 57 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96936407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -1.5. Let f = -0.6 + k. Let p = 4.27 - 8.27. What is the nearest to -2\/3 in p, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60284?\nAnswer: 2, 7, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-226)\/4)\/((-19)\/(-38)). Let g = 113 + a. Which is smaller: -4\/3 or g?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (97 + -224 + 94).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-4) - 4)*(-1530)\/(-135).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-3 - sqrt(1008)) + -5.\nAnswer: -48*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 27, 2\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3285 = -5*p, -6*p + 5*p + 16329 = 5*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2286 - 2170.3. Let q = -95 + d. Round q to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*x - 9 - 25, -d + 3*x + 4 = 0. Suppose j - 6*j + 380 = 0. What is the greatest common divisor of j and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 + 14 = 0. Calculate the smallest common multiple of o and (3 + -4 + 1)\/2 + (27 - 17).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**2\/2 - 2. Let b be (4 - -8)*(-3)\/(-6). Let y be (-16)\/12 - 4\/b. Calculate w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 9*u**2 + 9*u - 8. Suppose t - 5*a + 15 = 0, a - 21 = 2*t - 0*t. Let r be i(t). Factor -4*v**r + 2*v**2 + 4*v**2 + 2*v**4 - 4*v**3 + 0*v**4.\nAnswer: 2*v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144816 less than -5?\nAnswer: -2144821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/(-4) - 45\/18. List the prime factors of (10\/(-25))\/(l\/(-425)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*a + 155*a = 14*a + 7119 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1438 times -2.7\nAnswer: -3882.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 2 - 2)*(0*k - 4*k + 2*k + (k + 0*k + 0*k)*(-4 - 2 + 4)).\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 775642 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.4 - 6.6. Let b = d + 10.2. Let v = -3 - -2. What is the nearest to v in 0.5, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79765292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5102*c = -5097*c - 13980. What is the highest common divisor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5312014?\nAnswer: 2, 239, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/24 - (-7)\/(-4). Calculate the least common multiple of (6 - (h - 1)) + -2 and 16\/20*(-35)\/(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3\/15 - (-82)\/10. Suppose -22 - r = -5*z. Calculate the highest common divisor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -224161*x + 42841 with respect to x.\nAnswer: -224161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/60003 and 21\/3245?\nAnswer: 3300165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 90 = 5*z. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4 - 110*t**3 - 109*t**2 = 0.\nAnswer: -109, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v. Suppose -7*c + 13 = -1. Suppose 2*u + u = 18. Let q(y) = u*y**2 - 13*y**2 + 8*y**c. Determine j(q(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*h = 42173992, -4*a + 23*h - 21*h + 84347996 = 0. What is a rounded to the nearest one hundred thousand?\nAnswer: 21100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(175) - sqrt(175)*-1) + sqrt(175)) + sqrt(175) + 0 + -2 + 2 + -3 + sqrt(175) + (1*sqrt(175) - sqrt(175)) + -5)*4)**2.\nAnswer: -14080*sqrt(7) + 339824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 65389 = -3*p, 149*v - 65347 = -3*p + 144*v. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 108. Let u = -100.7267 + -0.2733. Let h = u - q. What is the closest to h in 10, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/15, -1\/5, -110 in increasing order.\nAnswer: -110, -1\/5, 2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/11*l**4 + 80\/11*l**3 + 0 - 32\/11*l + 8*l**2 = 0. Calculate l.\nAnswer: -4, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4))\/(1\/(-2)). Let f(s) be the first derivative of -1\/3*s**3 - 2*s**2 + 11 - 4*s. Let b(i) = -i**2 - 3*i - 3. Give m*f(y) - 4*b(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 6*s + 9, 2*s = -825*m + 828*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7*d**3 + 60 + 6*d**3)*((-3 + 1 + 3)*(-2*d**2 + 4*d**2 - 4*d**2) - 3*d**2 + 6*d**2 + 60*d**2).\nAnswer: -61*d**5 + 3660*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -54188 (b) 0.301 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*y + 4*y. Let v = y - 32. Which is the second smallest value? (a) -0.1 (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -289 - -270. Let k be (0 - 0) + 21 + g. Let q(c) = -c**2 - 3*c + 4. Let d be q(-4). Solve k = i - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 962*l**2 - 91*l + 8000. Is f(63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19359.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2076*j**2 - 43868 - 43867 + 87735.\nAnswer: 2076*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -59388086.\nAnswer: -1\/59388086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (111\/185)\/(-1*3\/(-75)). Let k(f) = -17*f + 269. Let x be k(y). Solve -1 = -15*j + x*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -109. Let k(i) = -i**2 - 4*i - 3. Let n be k(-3). Suppose n = -2*l - 4*r, -10 + 4 = -2*l + 2*r. Sort 2\/3, l, f.\nAnswer: f, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 11:47 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 89*i + 158. Is x(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.97 + -8.77. Put 0.3, 0.01, -4\/3, t in decreasing order.\nAnswer: 0.3, t, 0.01, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*(-1 + (-9)\/(-7)). Suppose s = -1, u = -3*u + v*s + 28. Solve 4*y = -2*f + u, -4*y + 0*f = -3*f + 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/4 + 157*i**2\/4 - 2239*i\/4 - 2397\/4 = 0.\nAnswer: -1, 17, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -67. 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: Solve 3*c**2 - 99*c - 570 = 0.\nAnswer: -5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -239.082 times 5\nAnswer: -1195.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3200368*f**2 + 2512889 wrt f.\nAnswer: -6400736*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x**2 + 12*x + 31. Let k(p) = -p**2 - p. Give 22*k(r) + 2*z(r).\nAnswer: -2*r**2 + 2*r + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from {x: 1, o: 1, w: 8, p: 2, g: 7}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-42)\/3372*-634 - 8 and 31\/11.\nAnswer: 3091","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7022 in 1, -364, -1?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 744951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 594231287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.845 minus 4?\nAnswer: -3.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/2 + 4022*c**3 + 8092263*c**2 + 16172462*c + 16168441\/2 = 0. Calculate c.\nAnswer: -4021, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b. Let z = -237 - -240. What is q in 0*q**4 + b*q**2 + 0 + 1\/2*q**5 + 1\/2*q - q**z = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1664249, -1664142, -1664035?\n\"Answer: 107*m - 1664356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 1:00 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 921.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-9)\/5)\/(18\/90)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.285312 rounded to 2 decimal places?\nAnswer: 5.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342441 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-75)\/5*((-319)\/66)\/29\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/60 - x**2. Let h(t) be the first derivative of -4*t**3\/3 + 1. What is h(q(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1765 = -d + 3*g, 4*g = -d + 466 + 1285. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -820057.\nAnswer: -4100285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a4404 (base 12) to base 11.\nAnswer: -20a6813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1275)\/6)\/((-2)\/4). Suppose -4*c + l = 13*c. Calculate the greatest common factor of 15 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138997100 divided by 34749275.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1)\/(0\/5 - -4). Does l = 4\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-1)\/12*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*i**3 + 51*b*i**2 + 2*b + 42 wrt i?\nAnswer: -6*b*i**2 + 102*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 15*m + 17. What is the units digit of h(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/20)*y\/(y\/(y\/((y\/y**(-3\/5))\/y*y)))*y*y)**26 assuming y is positive.\nAnswer: y**(351\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 466860883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260447, 260150, 259853?\nAnswer: 259556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1263, 2525, 3787, 5049, 6311, 7573?\n\"Answer: 1262*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5658*h - 1552 wrt h.\nAnswer: -5658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 + 11*b - 11*b)*((-2*b + b + 0*b)*(-1 - 1 + 4) + (3 - 3 + 2)*(15 - 15 - 8*b) + (-4*b + 3*b + 2*b)*(1 + 2 - 1)).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125430 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 + 66*p**2 + 10*p - 207. Give d(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:44 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13. Let r be (-1 - (k + 0))*-1. Solve -2*c = -s + 13, 4*c + r*s + 7 = -4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129584 divided by -16198\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842*d = 5*o + 8445, 12 = 5*d - 5*d - 3*d + 3*o - 3 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19200 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-10)\/(-70))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 1715.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 12*i**2 + 51 - 2*i**3 - 132.\nAnswer: -2*i**3 + 12*i**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(-1\/4)*v)))**(3\/4)*(((v\/(v**(2\/7)*v))\/v)\/v)\/v*v*v*v*v*v**3)**(-2\/93) assuming v is positive.\nAnswer: v**(-479\/5208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58871383, 117742764, 176614145, 235485526, 294356907?\n\"Answer: 58871381*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5338 is divided by 97.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 910881844 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + n = -6*i - 184, 5*i = n - 176. Is i less than or equal to -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32064 (base 11) to base 7.\nAnswer: 253010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 4 - 6*j**3 - 2*j - 4*j**2 + 7*j**3. Give s(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 7:25 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/22 - 6\/44?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 44 = 0. Suppose 0 = 3*s + 1 - 10. Suppose -s*l + 270 = 2*l. Calculate the remainder when l is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-6)\/108)*-1*3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13 - -26)\/((-1)\/33*1). Let i = s + 833. List the prime factors of i.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23808 = 1010*t - 266*t for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 4, -1823.\nAnswer: -1823, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 + 4*m - 4. Let g be y(3). Let k be 36\/g*8\/3. Suppose 4*i + 4*l = 16, -7*l = -i - 4*l - k. Solve i = -c - c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 78.737 and -865312.\nAnswer: -865233.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 10*o + 5\/3*o**3 + 0 + 0*o**2. Let c(l) = 2 + 4*l - 8*l - 2. Calculate g(c(b)).\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4\/3 (b) -0.13 (c) -0.1 (d) -1\/335 (e) 354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36509 and 33.\nAnswer: 109527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2215765*k*v**3 + 1223798*k*v**2 + 2*v wrt v.\nAnswer: 13294590*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a - 10. Let y be t(-7). Suppose y*c - 5*c - 918 = 0. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-4)*(-128)\/44*54\/(-72)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5 + 15*l**4 + 5215*l**3 - 63735*l**2 + 48070*l + 117000 = 0. Calculate l.\nAnswer: -36, -1, 2, 13, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*y - 2*q - 11, -8 = -2*y - 2*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/12073743 and 31\/33.\nAnswer: 12073743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*n + 3, 7*n = -w + 2*n + 24. Suppose w*q - 100 = 4*q. Suppose 0 = 4*y - 0*m + 5*m - 183, 0 = 4*m + q. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**3 + 3*k**2 + 2*k - 1. Let c be v(-2). Let m(f) = f**3 + 5*f**2 + 2*f - 3. Let r be m(-4). Suppose -r*i = c - 290. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 69397*g**2 - 69391*g**2 + 208184*g**2 - 69410*g**2.\nAnswer: -14*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*w - 4 + 82, 2*t - 21 = -5*w. What is the highest common divisor of t and 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*f - 26*f + 105*f - 27*f - 13 wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(17\/3))**40\/(i**(-2)\/((i\/i**(-2\/7)*i)\/i)) assuming i is positive.\nAnswer: i**(4829\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 161 and 117.\nAnswer: 18837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3068 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*d + a + 22, 6*d - 51 = a for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3187 + 4*d - 8949 + 27*d + 2882 + 2880.\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 143?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 0*t**2 - 6 + 3*t**2 + 0 + 2*t**3 + 5. Let i be y(-2). Let o = i - -17. Solve -h = 3*h + o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 975\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4\/5, 3\/5, 0.02, -6\/7 in decreasing order.\nAnswer: 28, 3\/5, 0.02, -4\/5, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -44, 31, 0.6, 1, 2, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 10*z - 5. Let v be k(8). Suppose 5*w + 5 = -3*t, -5*t - v = -w + 16. Let r be ((-3)\/4)\/(w\/8). What is the biggest value in 2\/11, r, -2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(108) - (sqrt(108) - (sqrt(108) + 3))) + sqrt(108))**2.\nAnswer: 72*sqrt(3) + 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 20 + 5 - -8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -142*g - 41389. Determine d(-293).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188341.51 + -188486.510121. Let s = -145 - o. What is s rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (7 - 11))\/1*(-1 + 0). Is 5\/157 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 14 - 91 = -3*d. Solve -d*k = -7*k + 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**5 + 15*j**3 - 19*j**3 - 1140*j**2 + 36*j**4 - 46*j**3 + 3*j**4 - 1800*j + 6*j**4.\nAnswer: 5*j*(j - 5)*(j + 2)*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328711 is divided by 7296?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbjkbbbjbbjkbb. Give prob of picking 2 b.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r - 13*r = -28*r. Let o be (-12)\/(-36)*r\/6. Solve o = -11*h + 8*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 413413515?\nAnswer: -413413515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, h: 2, p: 7, i: 1, j: 4}. What is prob of sequence qphh?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12088\/(-18) + (-4)\/9. List the prime factors of (26\/(-8))\/(12\/b).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 135, 877, 2867, 6729, 13087, 22565?\n\"Answer: 104*x**3 + 14*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 15 + -4 - (-8 + 11 - 11 - 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 5. Let i be d(11). Suppose i = 3*v - 0. What is the second derivative of 0*b**2 - 4*b + 3*b**2 - b**v wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354*2*((-35)\/(-10) + 6).\nAnswer: 2, 19, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*f - 2, -4*z + 24 = -4*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - x + 7 + 6*x - 2*x. What is y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 8*x - 140.\nAnswer: 4*(x - 7)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-1 + sqrt(72) - sqrt(72))**2*2 - ((sqrt(72) - (sqrt(72) - (sqrt(72) - (2 + (2*sqrt(72) - sqrt(72)))))) + sqrt(72))**2.\nAnswer: 24*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**6 + 125328*c**5 - 5*c**2 - 46*c - 33.\nAnswer: -120*c**3 + 7519680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.952 + 0.128. Let q = l - 4.64. Round q to 1 dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*m + 17 = 0, 0 = 4*p - 4*m - 4. Suppose 3*z + 14 = 2*r - 0*r, -3*r + 3*z + 15 = 0. Sort p, r, 4 in decreasing order.\nAnswer: 4, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.7 + -12. Let i = -52 - -51.3. Let k = s + i. Which is the closest to 5? (a) -2\/9 (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1659868 and -0.3.\nAnswer: 1659867.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 207*l - 267. Calculate m(102).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a tonne in kilograms?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7759077?\nAnswer: 3, 2586359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 50*z**2 + 5024*z - 2392. Determine m(100).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 12:52 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/55 and 47\/9350?\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 231 - -40.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2 + 0 - 27 + 1 + (-3 + 2 - 1)*(-1 - 2 + 4))*(0*h - 3*h - h) in the form x + p*h and give p.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trlwreh. What is prob of picking 2 r and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 1:54 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13751807?\nAnswer: 409, 33623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - (3 - -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11761 + 11760. Sort 3\/7, i, 53 in descending order.\nAnswer: 53, 3\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1419387 or 1419388?\nAnswer: 1419387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(931) + (5*(0 + sqrt(931)) - sqrt(931))) + sqrt(931) + (-3*sqrt(931)*1)**2 + 1*(2*sqrt(931))**2.\nAnswer: -203*sqrt(19) + 12103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 7*q**2 + 25*q - 5. Let h(n) = 9*n + 17. Let d(z) = 8*h(z) - 5*v(z). Differentiate d(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215*d**3*t + 131*d**2*t wrt d?\nAnswer: 1290*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 152*p - 9638. Let n(h) = -10*h**2 - 3*h. Give d(n(z)).\nAnswer: -1520*z**2 - 456*z - 9638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*j - 3*j - j)*(0 + 0 + 11)*(-3 - 1 + 0) to the form p + t*j and give t.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 3*l + 1. Let c(h) = -6*h**3 - h**2 + h + 1. Let f be c(-1). Let k be z(f). Let o = -27 + k. What is the remainder when 41 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 z when four letters picked without replacement from zzaczzcazcagaazaaaa.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 18*n - 233. Let a be p(-9). Solve -a*g - 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425573500 rounded to the nearest one million?\nAnswer: -1426000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 12:14 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -61, -123, -171, -199, -201?\n\"Answer: a**3 + a**2 - 72*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p + 131 - 99 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 77177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26342177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.51*-19.\nAnswer: -9.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85782589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 19 = -7. Suppose 3*h = 6, 2*n = 6*n - 2*h - 8. Let g = b - n. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5442639767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.8 - 22.8. Sort -3, -2\/5, h in ascending order.\nAnswer: -3, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 9*h**2 - 7*h - 1. Let c be v(8). Let a = c + -3. Suppose 0 = -a*i - 8, d + 5*i - 119 = i. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - f**4 - 2*f - 13*f**4 + f**2 + f**3 in the form h*f + m + t*f**4 + a*f**2 + y*f**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -108 (b) -21 (c) -4 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6708 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o + o + o. Let t(v) = 4*v. Determine t(n(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 + 2.3. Let m = 1.4 + o. Let k = -9 - -13. Which is the closest to m? (a) 1 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19591\/(-66))\/(-13) + (0 - 5\/(-30)). Solve -4*c - 27 = -t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a + 1. Let g(h) = 9*h**3 + 2*h**2 - h - 2. Let n be g(a). Is 4 a factor of 24\/32 + (-250)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2674 + 2679. Solve 0 = -3*b + j*a - 17 - 3, -4*a + 16 = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1215 and 33?\nAnswer: 13365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 20*m**2 - 180*m + 3884. Determine g(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -53 (b) 1 (c) -0.06 (d) -0.121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2930, 5862, 8798, 11738?\nAnswer: 14682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5496\/21297)\/(24\/(-372))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.48, -30\/7, -0.5 in ascending order.\nAnswer: -30\/7, -0.5, 0.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 - 10*m**4 - 1 + 261*m - 263*m + m**2 + 9*m**4 to i + j*m**4 + k*m + u*m**3 + t*m**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*k - 2 = 135*k. Let i(f) = f**2 + 3*f + 2. Let m be i(-4). Let c be (3 - m) + (14 - 1). Solve -5*p - c = -b - 0*p, -k*p = 3*b - 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 79*g**4\/3 + 144*g**3 - 84*g**2 = 0.\nAnswer: -6, 0, 42\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 4)*(-1 - 1 - 3*j - 2)*(-5 - 2 + 9 + (5 + 1 - 4)*(2 + 1 + 0)) in the form t*j + l and give l.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.867651t in micrograms?\nAnswer: 5867651000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3340302 (base 11) to base 13\nAnswer: 12a0a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.065857 and -78863.\nAnswer: -78863.065857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + d. Suppose -3*f = 2*f. Suppose -8 = -f*z - z + 2*i, -3*z - 2*i = 0. What are the prime factors of t(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 55*p - 3. Let l be v(3). Let m = -14 - -18. Suppose 5*k - 18 = m*k. What is the greatest common factor of k and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -185.8 and 6.8?\nAnswer: -1263.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnn when three letters picked without replacement from jmnmjnnn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -4, -73, -3 in decreasing order.\nAnswer: -0.01, -3, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150075 - -308930. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) -2\/11 (c) -4\/15 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 3, 382479?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -25*z**3 - 5*z. Let d(w) = 38*w**3 + 8*w. Suppose -55*i + 208 = -233 + 1. Give i*a(y) + 5*d(y).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/2 + 5*w**4\/2 - 21*w**3\/2 - 53*w**2\/2 - 14*w.\nAnswer: w*(w - 4)*(w + 1)**2*(w + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588649003*i**2 + 65 + 588648997*i**2 - 65.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -13*i + 5*j, 2006 - 1986 = -5*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28230 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5110)\/(-1387))\/(-70)*-1501?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -297*l. Let r(s) = -88*s - 1. What is c(r(m))?\nAnswer: 26136*m + 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (25 - 11) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-1)*l)**(-42)*((l\/(l**0\/l*l))\/l)**(3\/5))\/(((l*l**(-4)*l)\/l)\/l*l*(l*(l*l**(1\/2))\/l)\/l*l**4\/(l\/(l*l\/(l*l\/l**(-2))))) assuming l is positive.\nAnswer: l**(-333\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39*((-3)\/(-9))\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/3183 or 0?\nAnswer: -11\/3183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {q: 11, c: 8, p: 1}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g - 68*g + 2660 = 0. Let m be (-1 - (1 - 1))*-139. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 25*p**2 + 2*p + 8. Let o(q) = -4*q**2 - 2. Let a(t) = -4*o(t) - z(t). Determine a(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9669.877 - 9721. Let y = -51 - q. Round y to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3665*k**2 + 5652*k**2 + 6994*k**2 + 8080*k**2.\nAnswer: 17061*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*213682.\nAnswer: -854728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 437 + -405. Let y(m) = 29*m + 2 - 6 + 2*m - w*m. Determine y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1635 divided by 19?\nAnswer: -1635\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*sqrt(187)*-1 + sqrt(187) + sqrt(187))\/(-2*sqrt(396) + sqrt(11))*-3)**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -655, 52, -0.8, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 96*p + 13*p + 1 - 17*p.\nAnswer: -100*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 1 - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 335\/(-25) + 12\/3 and 32\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6155\/109 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**2 - 23*z**2 - z + 5*z**2.\nAnswer: -32*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4777 - 1235?\nAnswer: 3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6434.9 + -6730. Let b = -275 - d. Let c = 20 - b. What is the third smallest value in 2\/5, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -794*g + 40442. Give t(51).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -839*h**2*j**3*v + h**2*j**2*v + 41*h*j**3 + 4649*h*v**2 - 2*h + 3*j**3*v**2 - 2*j**2*v wrt j.\nAnswer: -5034*h**2*v + 246*h + 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-24)*48\/(-4). Find the common denominator of 133\/30 and (l - 98\/30)\/((-9)\/(-20)).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10348 + -5619. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(4 + (-24)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(sqrt(99) - (2 + sqrt(99) + sqrt(99)*-2 + sqrt(99)) - sqrt(99)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -5, 3, 23, 61?\n\"Answer: c**3 - 3*c**2 + 4*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -422\nAnswer: 17\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10820 (b) -0.0523 (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x - k - 2092, 4*x = k - 1670. What is x rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -772*j + 2561*j + 4 - 4 + 580*j in the form n + y*j and give y.\nAnswer: 2369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 2 + 8742*x + 0.\nAnswer: 8742*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -20*v**2 - 4*v**2 + 2*v + 42*v**2 - 14*v**2 - 9*v**2. Let a(k) = -k. Determine 6*a(l) + 3*y(l).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -79*l + 77*l. Let a be (-120)\/(-9) - 2\/6. What is the derivative of a*z + l + 21*z - 33*z wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/23 + 114*b\/23 + 1600\/23.\nAnswer: 2*(b + 25)*(b + 32)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/10152 and -89\/90?\nAnswer: 50760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 6*p + 6. What is the remainder when 39 is divided by x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 11:25 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(6\/7)*v*v\/v**21)\/(v**(-3)\/v**16) assuming v is positive.\nAnswer: v**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.5, -14\/309, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 17, 0.5, -3 in descending order.\nAnswer: 17, 3, 0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -375 - -255. Let p = -69 - s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:38 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283168, 283170, 283174, 283180, 283188?\nAnswer: 283198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -22. Suppose -h - 5*k = -15, -n*h - 2*k = -1 - 5. Let t(o) be the third derivative of -o**5\/60 - o**4\/24 + 7*o**3\/6 - 2*o**2. What is t(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 15878625.132033.\nAnswer: 15878626.132033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4371.\nAnswer: 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -24*y**3 + 5*y**2 + 5*y - 28. Let i(p) = -4*p + p - p**2 + 7*p + p**3 - 5*p. Let l(z) = 5*i(z) + o(z). What is the first derivative of l(x) wrt x?\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12909674599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 + 5*m + 1. Let f(k) = 6*k**2 + 8*k + 1. Suppose 2*r + 0*r - 10 = 0. Determine r*f(v) - 8*g(v).\nAnswer: -2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 29. Suppose -15 = 2*s + o, 1 - 34 = d*s + 3*o. Let r(j) = -j**3 - 3*j**2 + 7*j + 8. List the prime factors of r(s).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 852923.3 millennia to centuries.\nAnswer: 8529233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-304)\/(-76)*(3\/24)\/((-57)\/12)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3528 and 1596.\nAnswer: 67032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 = -4*i - 9, 3*s + 10 = -4*i. Which is the fourth smallest value? (a) 0.2 (b) i (c) 3\/4 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3045 + 1882. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30340322120 + -3?\nAnswer: -30340322123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 8080.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxpxhxxxxxxh. Give prob of picking 2 p and 2 x.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -28, -41, -54?\n\"Answer: -13*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfnx when four letters picked without replacement from hvffxxfnxxx.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12304 - 31?\nAnswer: 12223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10450962 or -10450935?\nAnswer: -10450962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6628, -38, 3.\nAnswer: -6628, -38, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28023543*c**2 + 48341041*c?\nAnswer: 56047086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhphppphpphhh. What is prob of picking 1 p and 3 h?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 1 (c) -481 (d) 2\/3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**2*b*b)\/((b**(-2)\/b)\/b))\/(b**(-5\/3)\/(b\/(b**(-3\/4)\/b))))\/(b**1\/b**(1\/5))**(-23) assuming b is positive.\nAnswer: b**(1849\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z, -3*t + 3*z + 24 = z. Let k(p) = p**3 - 5*p**2 + 3*p + 4. Let w be k(4). Let y be -1*6 - (79 + -87). Solve w = -0*j - y*j - t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.64 and -2945720669.\nAnswer: -2945720671.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -16785*u**2 + 242*u**4 + 16785*u**2 + (-3*u + 2*u**4 + 3*u)*(-3 - 3 + 3) + 2*u**4 - u**4 + u**4 as j*u**4 + f*u**3 + x*u**2 + o + a*u and give j.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 80\/(-8)*(-6)\/30. List the prime factors of (10224\/5)\/2 + h\/(-5).\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 2. Let c(u) = -2*u - 1. What is -3*c(g) - 2*f(g)?\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 11:41 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x + 1. Let c(t) be the second derivative of -3*t**3\/2 + t**2 + 10348*t. Calculate 6*c(k) - 11*s(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.18 - -0.18. Let j = 2 + w. Let a = j - -7.1. What is the second biggest value in 1\/2, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 9659, 11, -1 in decreasing order.\nAnswer: 9659, 11, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 586, 1171, 1758, 2347?\n\"Answer: t**2 + 582*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1502237889 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 (base 7) in base 13?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 50*n**2 + 92*n.\nAnswer: 2*n*(n - 23)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 69*k + 228. What is q(-5)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1. Let y(x) = -4*x - 1. Let k(s) = 2*a(s) - y(s). Let j be k(3). Let u = 17 + -1. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.7 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2957 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 3 - 0 - 1. Suppose -5*k + 10 = -i*p - p, p = 4*k - 8. Suppose 2*s - 4126 = 5*h, -5*s + k*h + 10277 = -h. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24528 and 288?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, and 2 t when four letters picked without replacement from mstsmsgsgt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.9 - 14. Let p = 11 + -6. Let d = m + p. Sort 0.5, d, -2 in decreasing order.\nAnswer: 0.5, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51 and 417881938485.\nAnswer: 417881938536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 - n**4 + 5*n**2 + 0*n**4 - 111*n**3 - 4*n**2 + 2 + n**4 in the form c*n**4 + l*n**2 + t*n + u + p*n**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -4 (b) -3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17312092 and 1568?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1626 - 1444. What is the greatest common factor of 112 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*t - 82*t = -149*t + 420. Solve 0 = 2*d + 2*d + t*z - 24, d - 5*z = -16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 5611600.\nAnswer: 5611600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 510 and 2040.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 135 - 135)*(3 + 0 - 2).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {g: 4, q: 4, c: 1, f: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256557?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36618 rounded to 3 dps?\nAnswer: -0.366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221982 is divided by 329?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 - 246a7a?\nAnswer: -246ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 837 = b + 1003, 5*i - 3063 = -2*b. What are the prime factors of i?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 197 + 399 = 0. Let c = 697 - o. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22950 - 6336 = 1278*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -73220 to the nearest 1000.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12)\/b**(-1\/3))**(2\/45) assuming b is positive.\nAnswer: b**(-14\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/17 (b) 4 (c) -11 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9986?\nAnswer: 2, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + u. Let n be k(0). What is the first derivative of n*j**2 + 65*j + 4*j**2 - 65*j - 8 wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 16*y**3 + 4*y**2 + 2. Let n(k) = -15*k**3 - 5*k**2 - 3. What is 2*n(l) + 3*u(l)?\nAnswer: 18*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378\/108*(-24)\/12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 + m + 5. Let a(y) = y**3 - 15*y**2 - 17*y + 11. Let h be a(16). Let i be v(h). What is the greatest common divisor of 10 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u. Let z(m) = 28410*m**2 - 22*m - 2. Determine d(z(l)).\nAnswer: 85230*l**2 - 66*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4*826\/(-21). Suppose -c + 47 = 2*t, 0 = 5*t + 5*c - 71 - m. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 301447708*m + 22717680164613316.\nAnswer: (m - 150723854)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (322*f - 322*f - 58*f**4)*(-53 - 32 - 6) to s*f + c*f**2 + d*f**3 + z*f**4 + t and give z.\nAnswer: 5278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2\/7 - 1611*m\/7 + 4806\/7 = 0 for m.\nAnswer: 3, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 246744*y + 246747.\nAnswer: -3*(y - 1)*(y + 82249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 97 + 4*n**2 + 64 - 161.\nAnswer: -4*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6069259 is divided by 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1075.9 + -0.5.\nAnswer: 1075.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5175*c + 110. Let m(q) = -94*q + 2. Let w(i) = 2*k(i) - 110*m(i). Let o(z) be the first derivative of -2*z**2 - 1. Determine w(o(a)).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*t + 5925 = -5943, -2*m + 3*t + 4740 = 0. Is 79 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 244, 369, 496, 625, 756, 889?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97809251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*sqrt(14)\/sqrt(2))**2.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*3 + ((-2)\/(-1) - 4). Let i(s) = -94*s - 2 - a - 2 + 7. What is the units digit of i(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 18 + 4\/1. Let l(n) = -22*n + p*n + 11*n. Let h(q) = 2*q**2. Give l(h(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(384)*-1 + (sqrt(384) - 2*sqrt(384))*-4)\/(sqrt(972) - 5*-2*sqrt(972) - sqrt(972)*-2*-1).\nAnswer: -4*sqrt(2)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1272 - 40*z**2 + 1190 - 2515 as g + m*z**2 + y*z and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*j + 7, 3*j - 8 = 2*z + 3. Suppose z*k - 5*k = -105. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2021, -4048, -6093, -8156, -10237?\nAnswer: -12336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1613654 - -1613653.9030893. Let s = 0.097 + d. What is s rounded to 6 decimal places?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*g**3 + 248*g**3 - 118*g**3.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**9\/7560 + p**8\/3360 + p**7\/1260 - p**6\/360 + 5*p**4\/4 - 27*p**2. Let i(x) be the second derivative of v(x). Factor i(o).\nAnswer: -2*o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410580*d - 410878*d - 15198 = 0 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 6*t + 5. Let k be v(6). Suppose k*l + 0*y + 21 = 4*y, 2 = -2*y. Suppose -6*n + n + 5 = 0. What is the second smallest value in l, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y + 5. Let i(o) = -2*o**3 - 4*o**2 - 4*o - 3. Let c be i(-2). Let l be a(c). Suppose -2*x + l = -3. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(6 + 38))\/((1355\/(-2168))\/(2\/8))?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 4*i**2 + 3*i - 1. Let z(o) = 12*o + 7. Let c be z(-3). Let g = c - -32. What is l(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*s = -77, -2*s = 2*s - 12. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -471.\nAnswer: 1\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 4, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2196*l**3 - 1856*l**3 + 45*l + 20*l - 65*l.\nAnswer: -4052*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-5)\/(-2))*-2. Let b be (-150)\/(-35) + w\/(-14). Let d be (-6)\/27 - 2\/(-9). Solve -m + 5*i - 7 = d, m = -0*m + b*i - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8506 + 5714 = 18*d. Let w = 1790 - d. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 1. Let x(z) = z**3 - 2. What is -x(q) - 3*y(q)?\nAnswer: 2*q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(-17 - -10)*2\/(-42).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/27 + (-200)\/3. Let h = r + 69. Let -9\/4*t**3 + 0 + 3\/2*t**h + 3\/4*t = 0. What is t?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.46 - 0.04. Let f = n + 4. Sort 0.1, f, 0.3 in increasing order.\nAnswer: 0.1, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - 0 - -4) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 + -16?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 9. What is l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -263\/75097 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2 + 16*n + 34. Determine s(8).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) -5 (c) -113\/35 (d) 2\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 18602*n + 6733964. Give p(-362).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-1*(-9)\/42?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcmmnbmmncxcmmxcme. Give prob of sequence ec.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1216 + -106. Let m = y - -5341\/4. Calculate the common denominator of m and -30\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvvvvsvvvvsvv. What is prob of picking 2 s?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 117855504*c + 1126006853?\nAnswer: 117855504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 4*n**2 - 6*n - 6. Suppose -13*u = -22*u - 45. What is w(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 3*f**2 + f**2 - f**2 - 4*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**6\/6 - 24*c**5\/25 - 2*c**4 - 26*c**3\/15 - 3*c**2\/10 + 2*c\/5 + 92. Let x(m) = 0. Calculate m.\nAnswer: -2, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*y - y, 2*y = 4*x - 208. Suppose 0 = 2*u + 5*j - 49 - 38, 9 = -3*j. Suppose 47*q = u*q - 40. What is the smallest common multiple of q and x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 115 = 81 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llf when three letters picked without replacement from {l: 6, r: 4, f: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634 + 636 = -2*w - t, 4*t + 2 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(99) + -2 + (sqrt(99)*3)**2 + sqrt(99) + sqrt(99) - (sqrt(99) + 0 + -2 + sqrt(99)))) + -1.\nAnswer: -889 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 21*v - 20 = 0. Solve v*m + 24 - 4 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0275 and -62862920391.\nAnswer: -62862920391.0275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22 + 0.31. Let z = 107.97 + -108. Let b = z + h. What is the nearest to -0.1 in 3\/5, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than 2552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oozmhoomhooohffmmhzw. What is prob of sequence hzfm?\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 18*b**2 + b. Let m(w) = -74*w - 70*w + 142*w. What is z(m(c))?\nAnswer: 72*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39135504 - 39135597.000118. Let o = y + 93. What is o rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/6*-3*109 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*u + 141*u - 6*u)*(u + 2*u - u) + 0*u**2 - 5*u**2 + u**2.\nAnswer: 384*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1929, -7767, -17505, -31149, -48705, -70179, -95577, -124905?\n\"Answer: -o**3 - 1944*o**2 + o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 6 = 3*g, -5*s - 5 = 0. Solve -3*k + 12 = -5*c, -g*k - 2*c + 12 = -0*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) 1 (c) 2\/9 (d) -184\/13 (e) 2 (f) 5 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, y: 5, r: 1, j: 3}. Give prob of sequence ry.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*q - 159, 3*i + 40 - 25 = 0. Suppose 0 = 3*d + 52 + 179. Let n = q + d. What is the greatest common divisor of 70 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/133*((-975)\/195)\/((-50)\/35)\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139810\/3 - 46603. Put -306, -2, m in increasing order.\nAnswer: -306, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23305638 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1, 1\/4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 104\/3. Put b, 4, -2\/7, 1\/9 in ascending order.\nAnswer: b, -2\/7, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/3 - 181*m**4\/3 - 188*m**3 + 2156*m**2\/3 + 9520*m\/3 + 2944 = 0. What is m?\nAnswer: -3, -2, 4, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1156405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 220. What is the highest common divisor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/8))**(-8) assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, e: 1, a: 1, r: 1, f: 2, d: 2}. What is prob of sequence fedf?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + -27. Let b = 691 - 730. Which is greater: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + 1231013664010?\nAnswer: 1231013664009.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 30. What is the remainder when 25 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-192)\/84*(-7)\/2. Let v be (6\/y)\/(9\/24). What is the third derivative of 0*i**2 + 4*i**4 - 7*i**4 + i**2 + 8*i**v wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2504687745?\nAnswer: 3, 5, 7, 41, 581809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.775225+1036\nAnswer: 1036.775225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)\/(sqrt(40)\/(-2*sqrt(8))))\/(sqrt(60)\/sqrt(48) - 4*(sqrt(15)\/sqrt(3) + sqrt(5) - sqrt(5))))**2*-5.\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + h + 20. Let z be c(5). Is z at most as big as -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 1, l: 1, i: 1, f: 1}. Give prob of sequence gf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 - 2) - (4 - 16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110111011001001 (base 2) in base 14?\nAnswer: 183c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 16*n + 16*n + (-2*n**2 + n**2 + 0*n**2)*(0 - 2 + 1) + 0*n**2 + n**2 - 2*n**2 + (-22*n + 18*n + 215*n)*(1 - 1 + 2*n).\nAnswer: 424*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 2342 + 2342.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 8 = 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391314.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 339, 1006, 2449, 4926?\nAnswer: 8695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 12*a**2 + 38*a - 95. Let f be v(-15). Which is bigger: f or 186\/19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 27*j + 23. What are the prime factors of g(-11)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 956 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 10*w + 4. Let c(p) = -12*p - 82. Let g be c(-7). Let d(z) = 2*z**2 - 11*z + 3. Let x(k) = g*d(k) - 3*t(k). Factor x(i).\nAnswer: -2*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88063, -176120, -264175, -352228?\nAnswer: -440279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 15. Let r be u(9). Solve 5*z + 2 = r*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + h**2 + h + 1. Let g be k(-1). Suppose g = -6*p + 2*p. Solve -5*o + 15 = -p*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (560\/60 - 10)\/(3\/117).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 13. Let s(r) be the third derivative of r**2 + 1\/525*r**7 + 0*r**6 - 1\/280*r**h + 0*r**4 + 0*r**3 + 0*r**5 + 0*r + 0. Factor s(k).\nAnswer: -2*k**4*(3*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(-4\/5))**(2\/11)*((h\/(h*h\/h**(-2\/7)))**(-38))**(-16) assuming h is positive.\nAnswer: h**(-902936\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 14. Let q be 5 - 3 - 4\/1. Let j(b) = b**3 + b**2 + 5*b + 1. Let l be j(q). What are the prime factors of u(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 70 + 11*j - 34.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -240*u + 9836. Calculate v(41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*v - v. Solve 3*q = 3*p - 6, 3*p = v + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 - -3. Let g = -0.9 + h. Let z = -0.1 - -3.1. What is the closest to -0.1 in -2, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*c**3*f**3 + 3*c**3 + 1880*c**2*f**3*m - 43060*c**2*f**2 - 64*f**3*m + 3*f**2*m - 3*f*m wrt f.\nAnswer: 66*c**3 + 11280*c**2*m - 384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -11, 27, 101, 223?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001112 (base 3) to base 12.\nAnswer: -5612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/3360 and -181\/5040?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101031 + -131?\nAnswer: -1101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.091, -4671, -2?\nAnswer: -4671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-30)\/16)\/((-10)\/(-4) - (-17 + 19)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u - 2*u)*(-2*u**2 - 112 + 112 + 102*u**3).\nAnswer: 102*u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -121 (b) -3\/7 (c) -0.14 (d) 0.05 (e) 64 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*q + 45, 2*q - 5*w + 9 = -6*w. Suppose 0*b = -4*b - 4. Put q, -4, -6, b in ascending order.\nAnswer: -6, -4, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8359, -2, -3.\nAnswer: -3, -2, 8359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - p + 2. Let c be z(1). Suppose c = 2*u + 3*f + 814, 0 = 2*u - f - f + 824. Let j = -243 - u. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - 36 = 0. Suppose -15 = -q + i. Calculate the greatest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - (1 + 1 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -2542693 and -0.014396.\nAnswer: -2542693.014396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020658 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 2*s - 0*y + y, 5*y = -25. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6301547 by 37.\nAnswer: 6301547\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(169\/(-39))*3\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-50)\/(-15))\/(33\/(-9) + 4). What is the greatest common factor of h and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 2, c: 2, w: 1, q: 2}. Give prob of sequence wb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2\/87, -63 in decreasing order.\nAnswer: 11, -2\/87, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 3.6 (c) -0.08 (d) -2 (e) -5 (f) -0.006\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*h - 63*h = 52. What is the remainder when 180 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdkt when four letters picked without replacement from qttqtdqcdkq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*c**5 + 0 + c**5 + 0*c**5 + 0*c**5 + (-3*c**2 - c**2 + 2*c**2)*(-3*c**3 + c**3 + 3*c**3) - 7*c**5 + 0*c**5 + c**5.\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/957 - (50\/(-275))\/((-4)\/(-4)).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5570\/2228*-1*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, 17, 90, 161, 230, 297?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(4*s**2 - 4*s**2 + 2*s**4) - s**4 - 2 + 2 + (0*s + 0*s + 2*s)*(3*s**3 + 2*s**3 - 3*s**3).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onoenoomme. What is prob of sequence mm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200419201.\nAnswer: 19, 619, 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/81? (a) 0.4 (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7697 - 7697.50128. Let s = -0.5 - q. What is s rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -411*n**2 - 504*n**2 + 2 - 238*n**2 to the form i*n**2 + t + q*n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n - 13. Let i(p) = 9*p + 26. Let g(v) = 4*i(v) + 7*o(v). List the prime factors of g(6).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -193, -358, 1 in descending order.\nAnswer: 3, 1, -193, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 446830 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52\/7 or -0.5577?\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1952 = -4*y + 4*z, 13*y = 16*y + 5*z - 1432. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 - 61*i**2 + 18*i + 44. Let c be j(20). Solve -q + 19 = 3*n, 3*n + q - 3 = c*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(272) + -5*(sqrt(272) + 1) + -1 - 2*((sqrt(272)*-2)**2 + 0))*-6.\nAnswer: 96*sqrt(17) + 13090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2628814*y**4 - 7886451*y**3 - 5257655*y**2 - 18*y = 0 for y.\nAnswer: -2, -1, -9\/2628814, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-31)\/(-62))\/(6\/(-4))*1)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 0 + 7 + 45. Suppose 2*d + 0*d + 3*u = 85, a = 2*d - 3*u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 2, 24016, -5, 4 in decreasing order.\nAnswer: 24016, 9, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -37*d**3\/3 + 83*d**2\/2 + 109. Find the second derivative of l(w) wrt w.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + c + 5 + 2. Let n be q(6). Calculate the least common multiple of 10 and (-6 - (1 + n))*-2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-3)\/(9\/(-210)). Let g = r - -66. What is the highest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 20 = 3*c. Let y(i) = i**2 - 6*i + 5. Let s be y(c). Find the third derivative of -3*j**6 + s*j**2 - j**2 + 0*j**6 wrt j.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/2, -2\/31, 7, -1, 0.1, -42\/25?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 + 18*h**2 + 10*h - 7. Let s be b(6). Let p = s + -50. Solve -p = -5*u + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 10. Let s be p(6). Suppose -3*a - 3*n + 9 = 0, 4*n + 2 = s*a - a. Let t be (a\/(-18))\/(3\/(-9)). Is t less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6877*x + 1933 - 655 - 644 - 634 to f*x + y and give f.\nAnswer: -6877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 19. What is the second derivative of -4 - o*r**2 + 4 + 21*r wrt r?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*w + 74*w - 48*w - 40 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 147*h + 25 = 142*h, -4*h - 20 = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(11)*-3))\/sqrt(6) + 5.\nAnswer: -sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*d**2 + 13596*d - 1068166 wrt d?\nAnswer: -14*d + 13596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**4\/24 + 7*q**3\/6 + 36*q**2. Determine b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 18 = 2*d. Let h(x) = -x + 2. Let v(t) = 9*t**2 - 7*t + 64. Let w(c) = d*h(c) - v(c). What is the derivative of w(j) wrt j?\nAnswer: -18*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, 0, 5, 74, 53, 4.\nAnswer: -192, 0, 4, 5, 53, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d7 + -6?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 235660 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - -16. Let c = 13 - l. Let h = c - -35.0074. Round h to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 177127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11505 (base 8) to base 11.\nAnswer: -3785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v**4 + 28151*v**3\/6 - 19335*v**2 + 284*v\/3 = 0. Calculate v.\nAnswer: -142, 0, 1\/204, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -20. Let i = 15 - y. Calculate the remainder when 15 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*g = 2*c - 32, -g = -4. Suppose -3*a = 1 - 7. Suppose 10 = -2*p - a. Is p equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121746682349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 83 = -4*d + 17, -2*h = -4. Let x = d + 27. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 394*i**2 + 395*i**2 + i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 5132000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4 and -21201517?\nAnswer: 21201518.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Solve -a*g = 2*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15166 is divided by 2166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let g be (60\/(-210) - 15\/21) + 3. Solve b + g = q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94654, -189303, -283952, -378601, -473250, -567899?\nAnswer: -662548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*v - 22 - 66. Suppose -2*c - v*m = -70, 5*c = 7*c - 4*m - 38. Calculate the highest common divisor of 63 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*m + 27 = 7*l, 3*l - 13 = -m. Let j(t) = 4*t**l + 60 - 16 - 3*t**3 - t**2. Let o be j(0). Calculate the greatest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*r = -24. Suppose r*f - 20 = 16. Let z = -29 - -33. What is the smallest common multiple of f and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*l - 15, 2*d - 5*l + 5 = -2. Let v(q) = q + 6. Let a be v(d). Solve -4*m + 4 + a = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 416 = 288. Let m(s) = s**2 - 42*s - 213. Let k be m(-5). What is the highest common divisor of k and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2465, 9884, 22253, 39572, 61841, 89060, 121229?\n\"Answer: 2475*a**2 - 6*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/457557892 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*3\/(-45))\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -471.0919236 and -37.\nAnswer: -508.0919236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*i - 4560 = 72*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 52504\nAnswer: 262520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 + d**3 + 3*d**2 + 2*d)*(-355 + 176 + 6*d + 175) to the form n*d**4 + o + m*d**2 + p*d**3 + l*d and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*k - 16*k - q = 10, -3*q = -3*k - 9*q + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 592*b**2 - 2*b + 1. Let c be d(1). Let w = c - 395. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (24\/5)\/((-2)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -19801?\nAnswer: -1386.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011011011001101000011 (base 2) to base 12.\nAnswer: -5273003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 - -258. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*y - 295*y + 485 = 23 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 9. Let q = h + -4. Let n(j) = -7 - 4 + 4*j - 1 - j**2 + 11. Calculate n(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (20 - 261)*-1*1 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*t + 583*t + 272*t.\nAnswer: 1309*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27121*l**2 - 13560*l**2 - 13560*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - t**2 + 2*t + 2. Let f be l(-2). Let r(c) = -68*c**f + 21*c**2 + 24*c**2 + 22*c**2. Let n(a) = -a**2 - 2*a. Determine n(r(k)).\nAnswer: -k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a**2 - a - 30. Determine l(12).\nAnswer: -1482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 75. Suppose -2*k + 3*k = -u + 3, 4*u - s = -5*k. Solve k = 2*n + t + 3*t + 8, -n - 4*t = 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8579, 17196, 25813?\n\"Answer: 8617*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnbofoa. What is prob of picking 1 f, 1 a, and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.7 or -162855?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*j = 119*j - 338*j + 1118 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14987 = 194*w - 187*w. What are the prime factors of w?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = 2*t, t = -3*h + 3*t + 9. What is the units digit of (0 - h)\/((-3)\/444)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millimeter in micrometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 0.1 (c) 2 (d) -38\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*n + 5*n + 34*n - 19*n as r + i*n and give i.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - o**2 + 0*o**2)*(-31*o + 67 + 79 - 149) to the form l*o**2 + m + c*o**3 + j*o and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -185. Let a be -37 + (-2)\/2 + 0\/30. Let d = v + a. Calculate the remainder when d is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -18. Suppose -2*q - 4 = r - 3, 13 = r - p*q. Let j be 22\/r - 1\/3. Solve g + 2*c = j, -3*g + 4*g + 21 = 5*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-11\/2))**(-13\/3))**42)**24)**(-2\/25) assuming y is positive.\nAnswer: y**(-48048\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (11 - 8) + -3 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10004 - 9956. Solve 69 = 39*t - r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 945, 1390, 1801, 2166, 2473?\nAnswer: 2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -1. Let g = 115 - 80. What is the remainder when g is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k + 26. Let g be (-8)\/12 + 69\/9. Let x(h) = h - 7. Let f be x(g). Is 8 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 958289123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 3*a**2 + 4. Let d(m) = -m - 6. Suppose -i - 27 = 2*i. Let q be d(i). Calculate the smallest common multiple of x(q) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11319 and 32879?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415\/10*2\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -0.2. Let y = -51587.5 + 51587.1. Sort y, -7, s, -4 in descending order.\nAnswer: y, s, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 3*m**2 + 4*m + 2. Suppose 5*r - 2*r = 3. Let y be (0 + -2)*(-1 - r). What are the prime factors of u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + -1 - (17631 + -17664)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**4\/12 - v**3\/3 + 2*v**2. Let j(m) = m - 1. Determine -d(b) - 3*j(b).\nAnswer: -b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 840 + -822. Let n be ((-15)\/6)\/((-2)\/14). Is m less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101010011000111 - 101?\nAnswer: 10101010011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g + 146. Suppose 0 = -0*q - 19*q - 323. Calculate the least common multiple of 57 and p(q).\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 11 - 52*l)*(-73 - 80 + 51) to the form f*l + i and give f.\nAnswer: 5304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 7:19 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*z + 8*z - 12*z)*(-z**2 - 2*z**3 + z**2) + 3*z**4 - 4*z**2 + 4*z**2 + 7 - 7 - z**3 - 2*z**4 in the form t*z**2 + c*z**3 + s*z + d*z**4 + p and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2696998712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 413837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + 4*sqrt(2299) - (sqrt(2299) + -3)*5) + -2 + -1)*-5)**2*5.\nAnswer: -35750*sqrt(19) + 308500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64\/16 + (-529)\/66. Let l = -29\/22 + t. What is the common denominator of (-58 + 0)\/(-2 - 16) and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:01 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 38 = 4*z + 6*o, 3*z = 5*o + 20. Suppose -338 = z*u - 4378. What are the prime factors of u?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbbg. Give prob of sequence bbg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1170, 2337, 3506, 4677, 5850?\n\"Answer: o**2 + 1164*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 4. Let w(k) = 4*k - 3*k - 2*k - 1. Suppose 0 = 83*p + 244 + 171. Determine p*w(l) - u(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 1 d when three letters picked without replacement from wjajdgk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2062 + 5835. Suppose 4*y - u = 3051. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514949952 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*9 + (-8)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4382722 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2 - 9*g*h**2*o + 3*g*h**2 + 19*h**2*o + h**2 with respect to g.\nAnswer: 4*g - 9*h**2*o + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -208, 0, -7, 7, 5 in descending order.\nAnswer: 7, 5, 0, -7, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/25 and -131\/11570.\nAnswer: 57850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 - 5356488*o = 0. What is o?\nAnswer: -1339122, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2772889140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-18) - (-6)\/(-18)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3*(-5)\/(-15)*-17 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550 and 700.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2113, 8434, 18961, 33694, 52633, 75778?\n\"Answer: 2103*j**2 + 12*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 6*q**2 - 4. Let l = -181 - -187. Let h(u) = u**2 + 1. Determine l*h(n) + c(n).\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 + 3*s - 12. Let w(a) = 4*a**3 - 9*a**2 + 9*a - 37. Let z(n) = 7*m(n) - 2*w(n). Give z(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5495 + -70?\nAnswer: 5425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37b9 + -c?\nAnswer: 37ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(5 - 17))\/(-4 + 77\/21)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/99 and -19\/63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 3 (c) 0.3 (d) 45\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -14. Let l be ((-12)\/(-20))\/(1\/n). Put 0.3, l, 0 in decreasing order.\nAnswer: l, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670689371 to the power of 1\/2, to the nearest integer?\nAnswer: 25898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.097 - 0.239. Round r to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2\/2 + 854065*a\/2.\nAnswer: 5*a*(a + 170813)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + 0.39. Let n = -0.39 - 0.01. Which is the second smallest value? (a) n (b) j (c) -0.004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549 is divided by 801?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 502005033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -183 * 821427\nAnswer: -150321141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(2\/(2 + 0)). What is the units digit of (-212)\/j - (-2)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g - 4*z - 10, 2*g + 6 = -3*z. Suppose 0 = -g*b - 12, -2*w + b + 44 = 198. Let v = w - -168. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w - 10. Let f = -4 - w. Find the common denominator of ((-1)\/2)\/(f\/298) and 81\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(8\/7)*o\/(o*o*o**15))\/(o**(-1\/3)*o**(-9)))**6)**(-48) assuming o is positive.\nAnswer: o**(13728\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*j**2)*(22*j**3 + 427*j**2 - 427*j**2) + 16 - 16 - 19*j**5.\nAnswer: 47*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 91029735633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -14. Suppose h*a - f = 3*a - 153, 0 = a - 4*f + 156. Calculate the common denominator of a\/(-18) - (-1)\/(-3) and -29\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/72 and -10\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*l + 5233, -3*m + 5243 = 11*l - 15*l. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Let d be (3 + -13)\/(4\/(-2)). Let r(x) = 0 + d*x + 0. What is f(r(o))?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*f - 721 - 50*f - 23*f + 49 + 36*f to the form p + g*f and give p.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 22760053?\nAnswer: -22760051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/370 (b) -1\/4 (c) -151 (d) 1\/14 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825) - (sqrt(825) + 2*(sqrt(825)*-1 + sqrt(825) - sqrt(825)) - sqrt(825)))\/(2*sqrt(275) - (1*sqrt(1331) - sqrt(1331) - sqrt(11))).\nAnswer: 15*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00084442775 rounded to six decimal places?\nAnswer: 0.000844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**2 + 796*u - 10098. Calculate r(13).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4678 + 461*r + 4678)*(0*r - 7 + 3 + r) as x*r**2 + c + m*r and give m.\nAnswer: -1844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17810, -35622, -53434, -71246?\nAnswer: -89058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*m - 272*m = 275*m - 29*m - 85904 for m.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 2:49 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + 7 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**4\/4 - 35*k**3\/3 - 107*k**2 - k. Let a be j(-12). Solve a*l = 3 - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27290422.\nAnswer: 2, 19, 718169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 - 15*l**3 + 193*l**2\/2 + 240*l + 128.\nAnswer: (l - 16)**2*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2 - 234752*z + 1173810 = 0.\nAnswer: -117381, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 7*r - 3. Let o be s(6). Let c(k) = k**2 - 6*k + 4. Let i be c(7). Let w = o + i. Solve -5*h - w - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a530 (base 13) to base 14\nAnswer: -8486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n**4*u**2 - 107*n**4*u + 4*u**2 + 26 wrt n?\nAnswer: 12*n**3*u**2 - 428*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2120225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 + 110. What is the second smallest value in -5, q, -8, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/(-27)*(-231)\/(-22). Let j = -52\/3 - z. Is 0 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 + -0.32. Let u = 15.854 + -0.054. Let s = u + -16. Which is the closest to 2\/9? (a) -3 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*p = 0. Solve -16 = -p*h - 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 41, -2128, 0, -3.\nAnswer: -2128, -3, 0, 9, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2. Suppose 8 = 3*i - i. Suppose p = 6*q - i*q + 2, -5*q + 6 = 3*p. Let k(v) = -p*v - 4*v**2 + 2*v. What is k(z(y))?\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 192*h**2 + 1632*h - 369920.\nAnswer: -2*(h - 68)**2*(h + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*j + j - 32, 3*j = 2*s - 38. Let c = 17 - s. Solve -z = 4*o + c*z - 33, -5*z = 5*o - 35 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3358*t - 118163 = -330*t + 291205 for t.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 11*q**2 + 3*q - 6. Give k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 8:43 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*s + 78*s + 55*s to the form q*s + x and give q.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -0.5 (c) -2\/1559 (d) -18 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (-13 + 4 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 4548.\nAnswer: 31836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, -16, -1\/3, -0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 3*n**2 + n**2 + n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 83*g**2 - 149*g - 26. What is z(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -115802094 plus -950?\nAnswer: -115803044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -b + 1207123 - 1207068, -3*d - b = 53 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v + 1650000 = 0. What is v rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - h + 2. Let p = 30 - 34. Let c(l) = 3*l**2 - l + 2. Calculate p*o(g) + 3*c(g).\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*o + 436*o - 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 6*sqrt(48) - sqrt(12))\/(sqrt(96)*-6).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/11)*j**(2\/49))\/(j\/j**(-1\/38)*(j\/j**23)\/j))**(-24) assuming j is positive.\nAnswer: j**(-5634252\/10241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44\/5 of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o*o**0*o*o)*o**8)\/(((o\/(o\/(o\/(o*o\/o**5))))\/o)\/o**9))**(4\/9) assuming o is positive.\nAnswer: o**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(8650*x**3 + 138*x**4 - 8650*x**3).\nAnswer: 138*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -a + 848, 3*a + 31*n - 2568 = 28*n. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012273 rounded to five decimal places?\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from egumedu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 387 + -381 - (10 + (0 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22c + -94c9?\nAnswer: -929a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**3 + 16*t**3 - 12*t**3)*(t + 0*t + 2*t) + 3*t**4 - 3*t**4 - t**4.\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.115 + -1695567.\nAnswer: -1695565.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-1)\/((15\/(-1359))\/(-5)). Let c = -267 - f. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18\/337 + 728\/1011. Let u be (16\/10)\/(5\/(-50)). Let t be (-78)\/112 + (-2)\/u. Which is the fourth smallest value? (a) s (b) 1\/2 (c) 1\/4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 479.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 5 + 33 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -57 - 153. What is the highest common divisor of h and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 4*l**2 + 0*l**2)*(-137 + 40 - 209 - 24).\nAnswer: 330*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1209 = -29*f + 32*f. Suppose -c + f = 2*r - 2*c, 2*r + c - 413 = 0. Suppose -3*d = 3*h - r, 0 = h - d - 27 - 35. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*s - 263*s - 1 + 55*s + 54*s + 56*s + 55*s.\nAnswer: 11*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*w - 75*w + 8*w**2 - 5*w - 2*w**2 to the form d*w + o + s*w**2 and give d.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - s = 11, -a = 4*s + 5 + 3. Suppose 4*p - 13 = 4*n - 1, -a*p + 30 = 5*n. Suppose 0 = 2*v - n. Solve u - r - v = 0, -u + 0*r - 7 = r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664648 a multiple of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 7*k**2 - 21*k - 26. Determine m(-8).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 551*u**2. Let m(c) = -c**2 + 641. Give m(w(a)).\nAnswer: -303601*a**4 + 641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 + 73848*z**2.\nAnswer: z**2*(z + 221544)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6689*t + 6688*t - 5*s = 49, 3*t + 37 = -4*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 13*i**2 - 2*i - 30. Let y be o(-13). Let v be y\/6 - (-12)\/72*4. Solve v = 4*k + c - 9, -5*k - 5 = -3*c + c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2750 and 43\/15?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, c: 7}. What is prob of sequence cc?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let b be 2556\/(-1704)*-2*1\/(-28). Is b < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10611 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2\/p**(-3)*p**(-3\/4)\/(p**3*p) assuming p is positive.\nAnswer: p**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -417178, -417174, -417160, -417130, -417078, -416998?\n\"Answer: m**3 - m**2 - 417178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -6*u + 1\/2*u**3 + 0 - 1\/2*u**2. What is g(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.47, -2\/19, -17501 in ascending order.\nAnswer: -17501, -0.47, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -138\/5*b - 2\/5*b**3 - 72\/5*b**2 - 68\/5.\nAnswer: -2*(b + 1)**2*(b + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - o + o + 3*o**4 - o**4 + o**4 + (o + 2*o - 10*o)*(175*o + 22*o**3 - 175*o).\nAnswer: -149*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p. Suppose 2*l - 3*l = p. Suppose 3*s = l, 31 + 57 = 4*r - 5*s. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22615020 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l - 3*j + 33, 0 = -2*l - j + 19. Suppose -k + 21 = -14. What is the remainder when k is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 6*m. Let r be t(-5). Suppose 6*p + b = p + 100, 110 = r*p + 3*b. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16269, 1, 4 in decreasing order.\nAnswer: 4, 1, -16269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -622474, -1244873, -1867272, -2489671, -3112070?\n\"Answer: -622399*y - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 3:09 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 4 + 2*b - 1\/2*b**2 - 1\/4*b**4 + 1\/3*b**3. What is n(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6187*o**2*x**2 + 108*o**2 - 49*o*x**2 + 2*o*x - 4*x**2 + 71*x wrt o?\nAnswer: 12374*x**2 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 66) + 12\/2 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(6)*2 + (sqrt(208)*-3 - sqrt(13)) + sqrt(13))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*w**3 + 401*w**2 + 26*w**3 - 27*w**3 - 5391 + 26*w**3 - 12*w wrt w?\nAnswer: 3*w**2 + 802*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -168 (c) -0.4 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-84) + 195\/(-315). Let h(r) = r - 3. Let v be h(5). Which is the closest to -1? (a) u (b) -1\/14 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.06, -23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 4 + 2*v - 2*v. Let c be q(9). Suppose 180 = c*t - 4*t. What is the highest common divisor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -113, -178, -89, 238, 887?\n\"Answer: 14*x**3 - 7*x**2 - 142*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:24 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 1036 + 1360 = 0. What is the remainder when t is divided by 25\/5*42\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*o = -208*o + 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 + x**2\/2 - x - 2. Let t be z(1). Let w = 1640\/9 + -182. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w + 5*q + 105 = 0, 0 = 3*w + 3*q - 45. Let c be (w\/(-8))\/((-3)\/12). Let x = 30 - c. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30708 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.44 - 8.1. Round d to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 360, -1217, -4, 1\/3, 1.\nAnswer: -1217, -4, 1\/3, 1, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -83*v**3 + 2*v**2 - 7*v - 61. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 9, -3028, 3, -4 in decreasing order.\nAnswer: 9, 3, -2, -3, -4, -3028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 122\/2663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 2)*(2 - 2 - m)*(-m**2 + 3*m**2 - 4*m**2)*(-11*m + 11*m + 11*m).\nAnswer: -110*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22465893 by -3.\nAnswer: -7488631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba0a3 (base 12) in base 7?\nAnswer: -2041512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 - 410?\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 194\/38 - 38*28\/10108\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n - 5. Calculate the remainder when y(6) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 2 - 17) + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzkzzzzzzz. Give prob of picking 1 z and 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -24019*s - s**3 - s**2 + 0 + 24027*s - 15 + 0*s**2. Determine c(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -1220?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*j**4 - 33*j**3 + 33*j**3 + (-3*j**4 + 2*j**4 + 3*j**4)*(3 - 5 + 0) to l + u*j**4 + f*j**3 + x*j + y*j**2 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12599, -25180, -37759, -50336?\nAnswer: -62911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 57. Put -0.1, k, -0.5 in descending order.\nAnswer: k, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_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: Calculate the highest common divisor of 1797 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) 777 (c) -5 (d) -143 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -120202124?\nAnswer: -120202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from pcpmcm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53227 + 97080. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35405426841*f - 26*f**2 - 35405426841*f - 7.\nAnswer: -26*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -20, -2\/37 in increasing order.\nAnswer: -20, -0.3, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 615 + 468 = r, 0 = 5*r + o + 35 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 + 7*a + 6. What are the prime factors of u(13)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f. Let s be f + 2\/1 + 3. Suppose -s*v = -v. Solve -4*l + 4*a + 28 = v, -2*l + 3*a + 13 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-215 + 1699 - 202)*(4 - n - 2*n - 3) to u*n + c and give u.\nAnswer: -3846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8 - 23*w + 80*w - 25*w - 31*w. Let z be d(-5). Determine a so that a**4 - 4\/3*a**2 + 4\/3*a + 6*a**5 - 22\/3*a**z + 1\/3 = 0.\nAnswer: -1, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*y**3 - 4*y**3 + 14*y**3 + 6 with respect to y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 + -111. Let q be (1263\/12 + -4)*(-1 + 5). Suppose -j*l + q = -7*l. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86036, -86194, -86354, -86516?\nAnswer: -86680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 32. Let t be 6\/r + (-3)\/(-27). Put -3\/5, t, -2 in descending order.\nAnswer: t, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183764105 to the power of 1\/2, to the nearest integer?\nAnswer: 13556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1068691\/294 - -3635. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08461 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4)*(o\/o**6)\/o)\/(o**(-2\/5))**(3\/5) assuming o is positive.\nAnswer: o**(-501\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1631?\nAnswer: -4\/1631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1013 (base 4) to base 14\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.8 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.51*11.\nAnswer: -27.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.993 - -0.7?\nAnswer: -1.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-3)\/1)*(-186)\/124.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Suppose 105 = -0*r + z*r. Calculate the remainder when r is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-14))\/(99\/308*21). Is 2\/7 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1541202 by -78.\nAnswer: 19759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*p + 553 = 0, -153 = -j + p + 34. Let w = -171 + j. Solve -4*s - s + w = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 384\/(-256) - (12\/20 - 11518\/(-20)). Is -580 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2460, -2438, -2394, -2322, -2216, -2070, -1878?\n\"Answer: k**3 + 5*k**2 - 2466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*k + 81 + 40*k - 159*k.\nAnswer: -156*k + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/35)\/(-9)*(1\/1)\/((-11016)\/540).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 9 = -6*z. Let n(i) = -i**3 - 4*i**2 + 7. What is the remainder when n(z) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1. Suppose -80 + 56 = -4*g. Let j(r) = r - 6. Let i(o) = g*n(o) - j(o). Determine i(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -474 - -474. Solve 2*l + 4*w - 16 = 6*l, -5*w = x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -19*j - 2. Let v = -7 - -1. Let w be q(v). Let r(h) = -2*h - 8. Let y be r(-12). Calculate the highest common factor of w and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**6))\/n)\/n*n**(-5)*n)\/(n**(-1)\/((n**(3\/2)\/n*n)\/n*n*n)) assuming n is positive.\nAnswer: n**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 8, x: 2}. What is prob of picking 2 b?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -5. Let u(f) = -f**3 + 8*f**2 + f - 5. Let h be u(r). Which is the second smallest value? (a) h (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*n + 21, -4*n = -3*s + 5*s + 18. Suppose 204*d = 206*d + 8. What is the tens digit of d - -2*(28 + n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(12)\/sqrt(6))**2 + (sqrt(2)*-2 + -2)**2 + (sqrt(2)*2)**2 + -1 + -3 + (sqrt(2) - sqrt(8)\/sqrt(4)).\nAnswer: 8*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 771304 and 6468.5.\nAnswer: 777772.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - 6) + (-137 - -181)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -7251386.\nAnswer: -1\/7251386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*b**3*x + 1278*b**3 + 7*b**2*x + b**2 + 326*b + 57369*x + 4 wrt x?\nAnswer: 41*b**3 + 7*b**2 + 57369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 40 = 4*j. Is j equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 982.895ug?\nAnswer: 982895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n**2 + n + 3. Let y be o(0). Suppose 4*d - 5*t = 486, 0 = -y*t - 6. What are the prime factors of d?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/63 + (-38)\/(-18). Suppose -2\/7*p + 0 + 2\/7*p**k - 2\/7*p**4 + 2\/7*p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 19. Let i = -4 - b. Find the common denominator of 133\/12 and i\/((-32)\/(2\/(16\/236))).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/2405133 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)*r**(-2\/11)*(r\/(r*(r**2*r)\/r))\/r**(-6\/11)*(r**(-2\/13)\/r**(-10))**(-1\/30) assuming r is positive.\nAnswer: r**(-6359\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25\/3 + 8. Let g = -1643.93 + 1644. Which is the fourth biggest value? (a) -0.2 (b) s (c) 0.3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 9*g**2 + 7*g - 6. Let r be c(-6). Suppose 0 = -4*z + r + 12. Factor 0*d + 0*d + z*d**2 + 2 - d - 19*d**2.\nAnswer: -(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 13*z**2 - 2*z - 4. Let q be k(-14). Suppose -2*y - f = -179, -4*y - 4*f = -136 - q. Calculate the smallest common multiple of 90 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 9 - 1. Suppose 0 = -2*d + s*d. Is -1 + (0 - (d + -9)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*(d\/(d*(d*d**(-8)*d)\/d))\/d)\/(d*((d*d**(1\/8)\/d)\/d)\/d*d\/(d\/(d\/(d*(d**1\/d)\/d)))) assuming d is positive.\nAnswer: d**(71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 1 = 2*q, -q + 2*w + 4 = -2*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d. Suppose 5*j - 5 = 5. Let f = 6 - 1. Let c(v) = -2*v**2 + f*v**j - v**2. Give h(c(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -887019802*x**3 - 448279464*x wrt x.\nAnswer: -5322118812*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5665.05364 - -5665. Round r to 4 dps.\nAnswer: -0.0536","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3561 - -4154. Suppose -5*v - t - k = -0*v, 0 = -2*v + 3*t - 3069. Is 1\/2 - v\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6 = -34. Let k(o) = 11*o - 1. Is k(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039705217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -34, -89, -196, -373, -638, -1009, -1504?\nAnswer: -2141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 176.6 and -3.\nAnswer: -529.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -0.0231584\nAnswer: -5.9768416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 36, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 23 - 8, -3*c - 2*a + 5135 = 0. Suppose -334 = r - c. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -361 - -353. Which is the nearest to 0.2? (a) -0.5 (b) 0.1 (c) x (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*j + 814. Let c = -135 + j. Let r(f) = -f + f**3 + 1 - 2*f**3 + 1. Determine r(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369307.4 centuries to decades.\nAnswer: 3693074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 67 * -0.5\nAnswer: -33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*q + 2449050 = -424408. What is the ten thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16155, 16156, 16157?\nAnswer: 16158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/582 and -13\/2910.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -311 + 331. What is the least common multiple of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425524, -850725, -1275926, -1701127, -2126328, -2551529?\nAnswer: -2976730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + b = -40, 0 = -2*i + 2*b + 2*b + 46. Suppose -i - 2 = -k. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Let i = 161.06 + -164. Let r = -0.06 + i. Which is the nearest to -1? (a) 4 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 97686984*w.\nAnswer: 4*w*(w + 24421746)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 3*b. Let t = b - -14. Suppose 61 = -4*j + 73. What is the least common multiple of j and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/13)*(j*j\/j**(-1\/6))\/j*j)**(6\/19)\/(((j\/(j*(j**4\/j)\/j)*j)\/(j*j\/j**(3\/7)))\/(((j*j\/(j\/(j**2*j)))\/j)\/j*j\/j**(-2\/19)*j)) assuming j is positive.\nAnswer: j**(12769\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*m + 18 = -4*h, 20 = -4*h - 7*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 22109?\nAnswer: -442.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -251008.5918 rounded to the nearest one hundred?\nAnswer: -251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -4 (c) -5 (d) 1\/15 (e) 45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -693, -847, -1115, -1509, -2041, -2723?\nAnswer: -3567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from vvcccccvcvcjjv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:02 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let a(p) = -32*p**2 - 5*p - 5. Let n(v) = 129*v**2 + 21*v + 21. Let j(s) = 21*a(s) + 5*n(s). What is g(j(k))?\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-10) - -13*(-3)\/(-15). Solve -2\/5*b**f + 1\/5 + 1\/5*b**4 + 1\/5*b**5 + 1\/5*b - 2\/5*b**3 = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17553043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4910 and 33\/105086275.\nAnswer: 210172550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**2 + 10*l - 79. Let j be y(-12). Let r = j - -1066. Let f(s) = 2*s - 2. Let g be f(2). Solve -g*v = -3*w - 22, r*w + 12 = -0*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.638? (a) 4\/41 (b) 12 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-2 - (3 + -8 + 7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217*j**6 - j**2 - 307*j wrt j.\nAnswer: -26040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -234. Let q = u - 138. What is the nearest to q in 6, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8141 + 8482. What is the greatest common divisor of 77 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3917*a - 148872. Determine q(38).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/7 (b) 848 (c) 0.3 (d) -4 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5)**(-25) assuming g is positive.\nAnswer: g**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 6) + 4 + 9 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1632 + -20126?\nAnswer: -22061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111 or -27\/19?\nAnswer: -27\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 40, -207, -552, -989, -1512?\nAnswer: -2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 - (22 + -20 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37478 divided by -161.\nAnswer: -5354\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 + 39612*q + 1191060 = 0 for q.\nAnswer: -30, 13234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1001 (b) 2253 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by 2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 8:25 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*d = 0. Let v(w) = -w**3 - w + 2. Let b be v(d). Let 2\/3*n**3 - 2\/3 - 2*n**2 + b*n = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 3, 39 in increasing order.\nAnswer: 3, 4, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 193827165 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*f, c + 5*f - 16 = -133. Let u = -67 - c. Suppose v + 2*m = u, 3*v - 7*v = -5*m - 120. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005023 to four dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 857 - 4276\/5. Let h = 91 + -94. What is the closest to h in 1\/10, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000637701 rounded to 6 dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m + 5*m**2 + 11 + 3*m + m**3 - 4*m. Is w(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-28)*((-15)\/(-90))\/(3\/(-6))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 - -255. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 61*u = 35259. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-3)\/6 - (1 + -4). Suppose c*v - 313 = -v - 2*b, 2*b = -v + 61. Let q = -58 + v. Solve 0*a + a - 2*l = q, -5*l = -a + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + k - 48, 0*k - 3*k = 0. Solve h = 0, h + 3 = -3*q + o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/6 + 50*w**4\/3 - 2041*w**3\/6 + 2091*w**2 - 1152*w - 3600 = 0.\nAnswer: -1, 2, 12, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291685 + 291663 + 4*o - 6*o.\nAnswer: -2*o - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29405\/19 - 1548. Let t = 40\/57 + q. Which is bigger: 53 or t?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/120 - r**4\/16 + 4*r**2 + 3*r. Find f, given that u(f) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 1\/59, 3, -3, -0.13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1234*s - 466*s - 391*s - 1198*s + 243*s to b + o*s and give o.\nAnswer: -3046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (0 + -3)\/(24\/(-32)). Let l(u) = -6*u**2 - u**3 + 5*u - 3*u - 4 + 3*u. What is the tens digit of l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3928, 3873, 3812, 3745, 3672, 3593, 3508?\n\"Answer: -3*h**2 - 46*h + 3977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1240 and 32550.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14502, 28696, 42890, 57084, 71278, 85472?\nAnswer: 99666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -168, -157, -130, -81?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + 16*w = -103*w - 86*w - 2552 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/20 and 1\/(-5)*(-3560)\/(-48).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 2*j - j. Let u(o) be the third derivative of o**5\/30 - 2*o**2 - 104. Calculate p(u(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 13, -3 in decreasing order.\nAnswer: 13, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*12\/40*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**4\/6 - 5*b. Let f(v) = -v. What is k(f(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284\/85 - 33\/17. Let o(g) be the first derivative of m*g**2 + 2\/3*g**3 + 1\/10*g**4 + 6\/5*g - 11. Let o(s) = 0. What is s?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -19*i**7\/21 - 4*i**4\/3 + 41*i - 2. Find the third derivative of n(b) wrt b.\nAnswer: -2280*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107*x + 498*x + 46945 + 18860 = 0 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 8. What is the remainder when t is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 35*n**2 + 32*n**2 - 38*n**2. Let p(q) = q**2. Give p(y(h)).\nAnswer: 841*h**4 + 58*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18152 rounded to the nearest one hundred?\nAnswer: 18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 710*f**2 - 61*f + 3.\nAnswer: 1420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16031\/35 - -458. Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (2\/1 - 2). Suppose -4*y + 8*y - 4 = x. What is the smallest value in y, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 147483751 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 64\/(-28) + 2 + (-452)\/(-14). Let m(g) = -62 - 35*g + 20 + p. What is the tens digit of m(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3050?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3\/12 - 93*i**2\/4 + 8649*i\/4 + 880. Suppose w(t) = 0. Calculate t.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 26856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**3 - 87834*s**2 - 316427*s?\nAnswer: 12*s - 175668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:35 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 454.\nAnswer: 1\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 2. Let w be c(-9). Suppose 8*r = w*r + 16. Calculate the remainder when -2*(-2 - (-27)\/(-2)) is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/123 and 61\/423168?\nAnswer: 17349888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652 + 833 + 9102*o - 1487.\nAnswer: 9102*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -952 divided by 28\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 998355 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-6 - (-6 + 1)). Let q = -0.01 + 2.01. Let j = q + -1.5. Sort j, a, -5 in decreasing order.\nAnswer: a, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 4, y: 2, n: 3, w: 9}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 = -l, -o = 3*l - 8*l + 26. Is o\/4 + (-1001)\/(-52) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25254820?\nAnswer: 2, 5, 1262741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 1. Let y be g(5). Suppose -y*a = -7 - 1. Let w be 0\/(1\/((-1)\/(-1))). Do a and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*l - 30. Suppose 0 = -h + r + 410, -2*h = -l*h - 5*r + 2040. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 46. What is the tens digit of -2*(218\/(-4) - c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 131142896\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/50)\/z)\/z**8*(z*z*z**(-1\/5)\/z)\/z**(2\/13) assuming z is positive.\nAnswer: z**(-5443\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*b + 3*l, -3*b = l - 4711 + 4702 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 3, 0.63 in descending order.\nAnswer: 3, 1, 0.63, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**3 - 3*g - 3. Let t = 4736 + -4737. Give b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 0.04 (b) -79 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059?\nAnswer: 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 17 = -66*i + 61*i, 10 = -i + 2*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 44, 60, 80?\n\"Answer: 2*g**2 + 6*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yly when three letters picked without replacement from {y: 6, l: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 8804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1604 is divided by 69?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 512*s - 686*s + 1740 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 divided by -53?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 418195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:56 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 25 = -23. Let v = 8 + 4. What is the units digit of (-114)\/(-4) - (v\/8 + d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*f - 712 + 202 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -26*n**2. Let v(x) = -2*x**2 + 11*x**2 + 3*x**2. Calculate v(m(u)).\nAnswer: 8112*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 61 = 2*w. Let b = 6\/575 - -30421\/5175. Calculate the common denominator of w and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(147))**2 - (sqrt(432)*2 - sqrt(3))**2.\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 20*t. Let r be u(-9). Suppose -14*v = -r*v - 8. Calculate the remainder when 63 is divided by 6\/(v - 0) - (-27 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -552, -2811, -6568, -11817, -18552, -26767, -36456, -47613?\n\"Answer: n**3 - 755*n**2 - n + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(275))**2 + (-1 + sqrt(11))*-6)*2.\nAnswer: -12*sqrt(11) + 2212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -270 or -271?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 + 0*r**2 - 42 + 36)*(-50 + 50 + 6*r**2) to u*r**3 + o*r**2 + t*r**4 + j*r + s and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146476, 146490, 146516, 146554, 146604, 146666?\nAnswer: 146740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 8*x + 2*x + 8*x + x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1 = p, 113*p = 112*p - 2*g - 6. Which is the smallest value? (a) 109 (b) -7 (c) 1\/7 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35590262 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(275) + -4 - ((sqrt(275)*1 - sqrt(275))*3)**2.\nAnswer: -4 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -36. Suppose -3*o = o - f. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3258, 6396, 9416, 12318, 15102, 17768?\nAnswer: 20316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -703.2 + 703. Let n = 4.02 + -0.02. What is the third biggest value in -2, n, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 376 - 382. Let k(r) = r**3 + 5*r**2 - 8*r - 3. Calculate k(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 10. Let t = l - -6. What is the smallest value in t, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*i + 1, 10 = -v + 2*i - 1. Let l = -16.79 + 16.99. What is the closest to l in 0.5, 3, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b**3 + 1479785*b**2 + 24263431*b + 99473175 = 0. Calculate b.\nAnswer: -59175, -41\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -183 - -207. Suppose 5*r = 4*v + 205, 4*r = 5*r + 4*v - 17. Let n = r + -4. What is the lowest common multiple of n and g?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -7. Let p be 3\/(-2)*q\/(-3). Let h(o) = -14*o + 9. Let x be h(p). What is the highest common divisor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 + 413. Let w be (174\/145)\/(2\/95). What is the highest common factor of w and v?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 626, 1242, 1862, 2486, 3114, 3746, 4382?\n\"Answer: 2*z**2 + 610*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.5, 1\/2, -10, 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314301895*-2.\nAnswer: 628603790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1335 + 6341?\nAnswer: 5003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3928018229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18 - (2 + (-20)\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 135, 562, 1273, 2268, 3547, 5110, 6957?\n\"Answer: 142*a**2 + a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + g - 3*g)*(-2 + 2 - 1)*(1 + 3 - 6).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 3\/4 + (-51)\/(-12). Let k be (2 + (0 - 1))\/(1\/z). Put k, 8, 2 in decreasing order.\nAnswer: 8, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 60 = -3*s, 4 + 28 = 2*q + 2*s. Suppose 0 = 3*z - 5*n - 37, 3*n + 0*n = -2*z + q. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3806837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*n - 23 = 2*a - 271*n, -22 = 3*a + 2*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {w: 3, x: 1, n: 3, m: 2, t: 1, h: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (13 - (5 + 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmm when three letters picked without replacement from ffbsmmmsm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*z - 27*z - 73*z**2 - 30*z.\nAnswer: -73*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 20, -34 + 9 = g - 5*d. Solve 0 = 4*j - g*j + 3*k - 5, -3*k + 8 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-14)\/(-34)) + -2\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -273 + 265 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b + 1400 = -238*b - 772 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2184150, -4368399, -6552648, -8736897, -10921146, -13105395?\n\"Answer: -2184249*l + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -524 + 550. Let s = t - 7. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + -6 + 1 + 13 + (-102 - -86).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + (-2)\/4. Suppose p*v + v = 0. Suppose v = -i + 6*i - 60. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6857.\nAnswer: 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 4. Let d be f(0). What is the second derivative of -d*z**5 - 177*z**2 + 177*z**2 + 10*z wrt z?\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 9 + 5 + -3 + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-128)*12 - 1164\/32.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23493 - 3293 + 2384 = -294*v. What is the remainder when 2986 is divided by v?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -6, -18\/5, 139, 3\/5, -4 in descending order.\nAnswer: 139, 82, 3\/5, -18\/5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 7*n - 2*n + 836, -s = 4*n + 668. Let i = n + 295. Suppose 4*p - i = 3*p + x, p = -5*x + 97. List the prime factors of p.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -352911\/17 or -20758?\nAnswer: -352911\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -n - 4*m + 16, -34 = -n + 5*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 1. Give k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 236 + -227. Let a be (-6)\/9*90\/(-4). Suppose 13 = -3*i + 5*b, -i - a = -6*i + b. Solve 0 = -q*s + i*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a - 10. Let z be v(5). Suppose 21 + z = c. Suppose 0 = o - 3*r - 21, -c = -3*o - 3*r + r. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(13\/(-744))*(-2)\/6. What is the highest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:37 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 8\/79 (c) -1 (d) -0.3 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 + 2*o**2 - 2*o - 2. Let i(z) = -14*z**3 - 11*z**2 + 11*z + 11. Let p be 10\/85 + (-12386)\/374. What is p*a(g) - 6*i(g)?\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -62 - (-53 - (-7 + -30))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 191445288 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*c = -v - 155, -2*v + 5*c - 33 = 0. Let p = -17 - v. Let k = 269 - 257. What is the least common multiple of p and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d. Let h(i) = 4*i - 637. Determine h(r(f)).\nAnswer: 24*f - 637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 17 = -j, -27 = -307111*j + 307114*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 7. Let j be x(10). Suppose 5*m - 2*i = 375, -m - m + j*i + 139 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q + q**4 - 3*q**4 - 3 + 2*q**3 + 23*q + 2 - 26*q to d*q**2 + y + u*q**3 + h*q + m*q**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-57*r**2 - 4 + 7 + 52*r**2).\nAnswer: 10*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*v + 9 - 9)*(1 + 0 + 1 + (-4 - 1 + 3)*(-4 + 4 - 1)) to the form s + x*v and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-36))\/(6\/(-1215)). Calculate the greatest common divisor of b and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 43 = -3. Suppose 5*k - 5*c + 55 = 0, 2*k + 0 = -j*c - 4. Let i(w) = -w - 8. Give i(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Suppose -p*y - 3 = 5*w + 2, -4*y - w = 7. Let a be (y\/(-4)*-2)\/(-1). Let t(v) = -v. Give t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60352 - -1029357\/17. Let j = 197 - i. Calculate the common denominator of j and -55\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u + 90 = 14*u. Let y = 30 + u. Does 13 divide (-4)\/(-3)*(21 + y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42275894 is divided by 899487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 180774 divided by 249\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/4 + 21*n**3 + 120*n**2 + 2*n + 77. Factor g(u).\nAnswer: 3*(u + 2)*(u + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3144, -6284, -9420, -12552?\nAnswer: -15680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -431311, -1724946, -3880997, -6899458, -10780323, -15523586?\n\"Answer: c**3 - 431214*c**2 - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-18)))\/d**(1\/12)*d**39*d*d**13*d)**(-1\/3) assuming d is positive.\nAnswer: d**(-863\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1370277648, -1370277647, -1370277646?\nAnswer: -1370277645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136.5 - -132.5. Put h, 0.01, -64 in increasing order.\nAnswer: -64, h, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1*9\/(-6). Let d(i) = -i**5 - 1. Let x(k) = k**5 + k**2 + 3. Let y(f) = s*d(f) - x(f). Find the third derivative of y(g) wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-19)\/(-95))\/((-2)\/5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 + -116. Suppose -2*l - 5*a + 20 = 0, l + 16 + 4 = 5*a. Suppose l = k - 1 - 3. Sort k, p, -4 in descending order.\nAnswer: p, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5\/2 - 5*n**4\/6 + 11*n**3\/6 + 7*n**2\/2 + 2*n\/3 - 2\/3 = 0?\nAnswer: -2, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 14) + (-5 - (-1 + -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*y - 493*g**2 - 1794*y wrt g.\nAnswer: 4*g*y - 986*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let w(j) = j**3 + 43*j**2 - 75*j - 1359. Let a be w(-44). Solve q - i = 10, -u*q - a*i + 4*i = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 3*c**2 - c - 5. Let r be w(-4). Let t = r + 367. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 127. What is the units digit of w(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/5)*t)**(-2\/3)*(t\/(t\/t**(-1\/2)*t))\/t*t*t\/t**(-4\/9)*t assuming t is positive.\nAnswer: t**(-11\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkxckxcccc. Give prob of sequence xc.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*o = -34*o - 639. Let p(g) = -613*g**3 + g**2 - 1. Let d be p(-1). Suppose -o*f = -1043 - d. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -2*m**5\/15 + 4*m**2 - 266*m. Let s(a) = -a**2 + 2*a**2 - 2 + 2. Give i(s(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.54 + -0.5. Let z = g - -2.96. Let a = 0.3 + 1.7. Sort a, z, 0.2 in increasing order.\nAnswer: 0.2, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 104*o**2 + 3. Let h(x) = -24*x**2 - 26*x**2 + 49*x**2. Give y(h(d)).\nAnswer: 104*d**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-49)\/21)\/7)\/(2\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*y**4 + 67*y**3 + 194 - 3172 - 16*y**4 with respect to y.\nAnswer: 32*y**3 + 201*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192 - 298. Let v = 142 + t. Calculate the highest common factor of 72 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wyw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 1 + 0*u - 4*u + u**2. Let f be k(-4). Let n(d) = -3*d**3 - 134*d**2 - 96*d - 349. Let m be n(-44). What is the greatest common factor of m and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-12 + -2 + 0 - (-147 - -124)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 3487.\nAnswer: 6974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - -3.6. Suppose 1 = -2*t - 5. What is the second smallest value in j, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45665, -91547, -137433, -183323, -229217?\nAnswer: -275115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 2 + 3*v**3 + 9*v**2 - 2*v**2 + 6*v. Let p be f(-6). Suppose 2 = -b + 2*x - x, p*b + 1 = 5*x. Sort b, -2, 1 in decreasing order.\nAnswer: 1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-16)*88\/(-72)*(-15)\/10.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*u + 3 + (-2 + 4 - 4)*(u + u - 4*u))*(-5400 - 2737 + 1989)*(-4 - 4 + 5)*(-2 + 3 - 2) to j*u + a and give j.\nAnswer: -36888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*g**4 - 5 - 7)*(0 + 6 - 2)*(2 + 9 - 20) in the form c + h*g**4 + l*g**3 + p*g + r*g**2 and give c.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000016481 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21002220112 - 220100?\nAnswer: -21010210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:53 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 0)*20\/(-8). Let r(w) = w**2 - 5*w + 22. Calculate the least common multiple of 2 and r(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839*h - 810*h + 319 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -0.3712.\nAnswer: -9.3712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62320133?\nAnswer: 19, 23, 142609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 + 161. What is l(0)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.41766753 to 2 dps.\nAnswer: -65.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7628949 millennia?\nAnswer: 76.28949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i + 6. Let s be t(-7). Suppose -5 - s = -5*u. Suppose -2*v + 0 + u = 0. Solve 0 = f, -l + v*l - 3*f = 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 18 + 20 = 3*j, 44 = i + 5*j. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6827 is divided by 112?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 7*l - 4. Let w(q) = -q**3 + 10*q**2 + q - 17. Let g be w(10). Let z be u(g). Is ((-3)\/3 - z)*44\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30041014 - 10?\nAnswer: -30041024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*a**3*k**3 + 479*a**3*k**2 - 1140*k**3 - 3*k**2 wrt k?\nAnswer: -78*a**3 - 6840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 46*j**2 - 493*j - 123. Give n(29).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 6\/5, 2\/3, -2, -0.082?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94184*f**5 - 264*f - 104479*f**5 - 2958*f wrt f.\nAnswer: -205900*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 1709 = 501. What is the greatest common divisor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1\/(-4) + 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 92. Let i(m) = -m**3 - 2*m**2 + 4*m + 4. Suppose 0*h - 5*h + 4*u + 214 = 0, h - 43 = u. Calculate the least common multiple of i(s) and h.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 621 + -885. Let m = -224 - w. Solve 5*y = -3*i + 4*i - 30, -4*i + m = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 29*i + 192. Let v be z(-19). Determine l, given that -9\/2*l**v - 3 + 21\/2*l = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbbjjbbbbbbjbbjjb. What is prob of picking 3 j?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 49, 117, 255, 487, 837, 1329?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3804 divided by 24.\nAnswer: -317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 + 4*u**4 - 3*u**4 - 2*u**4 - 2*u**4 - 2*u**4 + (-4*u**2 - 2*u**2 + 5*u**2)*(2*u + 2*u**2 - 2*u).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.444, 1\/7, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (121 - 149) + (4 - -40) - 135?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 6244508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -1568, -4985, -11568, -22373, -38456, -60873?\nAnswer: -90680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4 = 2*h, -120*u + 117*u = -5*h - 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 - -124. Suppose g*h = -5*m - 26, -5*h - 4*m - 4 - 27 = 0. Which is the closest to h? (a) 0.3 (b) -0.5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -127*f + 1. Let h be o(-1). Let k = h - 50. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -135 + 139. Suppose -28 = -2*y - 2*m, m = -y + 5*m + w. Let b(p) = p**2 - 4*p - 13. Calculate the least common multiple of y and b(9).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**50 assuming f is positive.\nAnswer: f**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r. Let q(p) be the third derivative of 0 + 0*p - 1\/8*p**4 + 7*p**2 + 0*p**3. Calculate f(q(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 1963715?\nAnswer: 1963720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796969655 divided by 9?\nAnswer: 199663295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 5*s + 16*s + 18*s as j + t*s and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (-3 - -3) - 7 - 12) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.46 - 1.54. What is the nearest to -3 in 4, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.60535 times 0.1?\nAnswer: -0.760535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by -51.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -37?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3040185 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h**3 + 2*h**2 + h - 2. Determine o(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -284894, -1139536, -2563936, -4558094, -7122010?\n\"Answer: -284879*i**2 - 5*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 3169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*g - 23, -3*g + 3 = 3*q - 18. Suppose g*m + 4 = 7*m. Suppose 25 = 4*y - k, -4*y - 4*k + 19 = -m. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4424 + -1243?\nAnswer: 3171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3 - 399*t**2 + 53067*t - 2352637 = 0.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 11:32 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(109\/(-218))\/((-2)\/(-2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**2 + 144*j + 620 = 0?\nAnswer: -31, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0077323 rounded to 4 decimal places?\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -3*l**2\/2 + 463. Let p(n) be the first derivative of 2 + 9\/2*n**2 + 0*n. What is p(b(q))?\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011010110011001 + -111111111?\nAnswer: -10011011110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164505339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, u: 4, g: 2, b: 6}. Give prob of sequence bugg.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(6\/11)\/(y**1)**(-22) assuming y is positive.\nAnswer: y**(246\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 11*u. Let k(p) = -5*p**2 + 3*p**2 - 2*p + 4*p + 3*p. Let o(y) = 6*c(y) + 13*k(y). What is the second derivative of o(v) wrt v?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 316*a - 938. Determine j(4).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.659 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v**2 - 20 + 20. Let y = -9 - -10. Let k(u) = 1 - 136*u + 135*u - y. What is h(k(p))?\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + -0.1. Let b = g - 1.599925. What is b rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2486 divided by 1.\nAnswer: -2486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 16. Let b(k) = -1. Let w(g) = 22*b(g) + 2*m(g). What is the tens digit of w(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**3 - 55*k**2 - 52*k**2 - 45*k**2 + 152*k**2.\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 987788.3 grams in kilograms?\nAnswer: 987.7883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4*o = 2*j + 132, -2*j - o = -62. Let m = -6285 - -6285. Sort m, -1, j in descending order.\nAnswer: j, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -40. Let i(j) = j**3 - j**2 - 3. Let x be i(0). Let y be x\/d - (-91)\/6. Solve -4*k - k + 3*l = -15, 3*l = 2*k - y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1013 and 3538.\nAnswer: 3583994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 48*y + 52*y + 14159, 2*z = -4*y + 28330. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*z + 25, 2*z + 0 = 2*b - 22. Let y be b*(-3)\/(-3*2). Suppose -p - 4*p = -40. Solve -3*w + y*j = -5*w - p, 0 = -5*j - 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 17*j**3 - 2*j + 1. Suppose 2*m - 5 = -3. Calculate the remainder when 46 is divided by s(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0*i**4 + 8*i**2 + 0*i**3 - 2\/15*i**5 + 0 + 0*i. Let c(r) = 2*r**2. Determine z(c(u)).\nAnswer: -32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 79 = -4*d, -191*l - 63 = -3*d - 186*l. What is the remainder when 69 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {h: 3, y: 6, v: 2, u: 1, w: 1, g: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 707212283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 839 * -4.\nAnswer: -3356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 194. Solve 5*h - 14 = 7*h - 2*u, 0 = 4*h + v*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110021112002 (base 3) to base 12.\nAnswer: -b7a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.1. Let m = -0.1 - -0.1. What is the closest to -2 in -2\/11, m, r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436 a factor of 3156050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and -0.70957.\nAnswer: -0.0851484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.59, 2\/5, -0.3, 7.04?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 8*l + l)*(-2 - 1 + 5)*(3*l - 6*l - l**3 + 3*l**3).\nAnswer: -36*l**4 + 54*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-5))\/(9\/135). Put -1, -4, u in descending order.\nAnswer: u, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + -95. Calculate the greatest common factor of k and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 4, u: 3, j: 5}. Give prob of picking 3 j.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (1 - (10 + -3)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -275.2 + 275.1. Let u = 0 + 1. Which is the nearest to g? (a) u (b) 1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198062.1662 rounded to the nearest ten?\nAnswer: -198060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -392*l + 514*l + 976 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -502\/7 or 1?\nAnswer: -502\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - 1)*(-39)\/(-273) + 7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - g**3 + 1 + 4 - g**3 - 4 - g**3 + 3 - 3 + (-g + g - 2*g)*(g**2 + 1 - 1) + 2*g + 2*g**3 - 2*g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 10 - 16. Let w be (-42)\/(-9)*c\/7. Find the second derivative of -26*u - 9*u**4 - u**w + 18*u wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 27 - 107 = 0. Let z = 8 + 13. Calculate the remainder when z is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -21*q + 7. List the prime factors of o(-11).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 26*j**3\/3 + 3. Let m(f) be the third derivative of f**5\/30 - 26*f**2. Give s(m(q)).\nAnswer: 104*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 19*k**2 - 481*k - 11. What is the tens digit of h(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 736 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30515 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/6 + -3 + (-2 - -8).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -881*s + 3000701 - 1187*s - 3000701 to n*s + m and give n.\nAnswer: -2068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**4\/6 + 184*h**3\/9 - 355*h**2\/3 + 176*h - 283. Find x, given that q(x) = 0.\nAnswer: 1, 3, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 9*n - 36. Suppose f = 3*c + 41, -3*f = -c + n*c - 156. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 5. Let h be n(8). Let r = h + -101. Let g = -8 - r. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12409 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h = 37*h - 12. Let v = 36 - 26. Suppose 2*n - 3*q = v, 3*n - 2*q - 1 = 9. Solve n*g = -f + 10, h*f = 2*g - 2 + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -18. Solve -4*s - 26 = 5*b, -q*b = -0*s + 4*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 7898*t - 2191660. What is w(288)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t - 2*l, 3*l = -5*t - 16. Suppose 4*b = -2*w + 4*w + 18, 1 = w + 3*b. Let j = w - t. Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 25362056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 15*b + 139. Let f be i(-9). Suppose 2*v = -r - 3*r - 174, -4*v = f*r + 328. What is the nearest to 2\/5 in 1, -5, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.943 rounded to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1*k)\/k)**(3\/20))**40\/(k**(-8)*k\/k**(-4\/5)*k**(1\/6)\/(k\/k**(2\/11))) assuming k is positive.\nAnswer: k**(4241\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 34, -1 in increasing order.\nAnswer: -1, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-312)\/(-15) + 2\/10. Suppose -5*p + 6*p = v. Calculate the common denominator of p\/(-30) + 4\/10 and 59\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a + 1. Let d(h) = -9*h. Let i(u) = 6*d(u) - 7*t(u). Let j be i(5). Suppose 3*y - 82 + 19 = -5*l, 0 = -2*y - j*l + 42. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19490\/143 + -1656\/13. Suppose -z - 2\/11*q**2 - 28\/11*q = 0. Calculate q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11818 not equal to -11818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 786 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -319 + 322. Suppose 12*x - 8217 = p*x. Is x a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/(f*(f**(-7)*f)\/f))\/(f**10\/f**(-1\/8)) assuming f is positive.\nAnswer: f**(-105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3474 and -19\/90131.\nAnswer: 1622358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 162\/(-21)*7\/(-1). Suppose -7*q + r = -4*q. Let i be (-2)\/3*q\/(-12). Solve -3*a + 2*a = i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.62, -4\/9?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19540851 by -103.\nAnswer: 189717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + (sqrt(5) + -1)**2 + -3 - sqrt(45)*3).\nAnswer: -6 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/72 - m**3\/18 - m**2\/4 - 14*m. Find n such that l(n) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by 6?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 112 = 188. Suppose b - 6*b + d = 0. Suppose 0 = 4*s - 0*s + b, 2*m - s - 13 = 0. Solve -3*o + 4*l + 1 = 0, 0*o - m*o + 3*l = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 3*j + 5 - 4*j - 9 to the form d + v*j and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 6. Let o(s) = -3*s**2 + 2*s - 1. Let u be o(1). Let m = 0.1 + -1.1. Which is the nearest to m? (a) u (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(0 - -1)*2. Let h = 3135 + -47027\/15. What is the closest to -0.3 in h, d, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.124 + -5.776. What is c rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42a41 (base 11) to base 3\nAnswer: 10011201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, p: 1, x: 1, u: 1}. Give prob of sequence bx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2232087 micrometers in nanometers?\nAnswer: 223.2087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**4\/4 + 3*o**3 - 3*o**2 - 2*o + 1. Calculate the remainder when 39 is divided by n(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7019030 and 1220.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + 6 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 9*h + 97. Give a(5).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15767857 is divided by 362?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 1\/2, 2\/19, -0.12, 1, 0.07?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 19*j**2 - 2*j + 9. Let k be a(-19). Let c = k + -41. Solve 0 = s + c - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iirikuk. What is prob of picking 1 i and 1 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 3*f + 4*f - 5369.\nAnswer: f - 5369","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 2*u**2 + 2*u + 4. Let z be j(3). Let c(k) = k - 1. Let l be c(z). Solve l = -5*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1309 - 847. Suppose -l + 42 = -7*r. Does 30 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -432437 (base 10) in base 15?\nAnswer: -881e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78469, 313613, 705503, 1254133, 1959497, 2821589, 3840403?\nAnswer: 5015933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 3*l**2 - 2*l + 2. Let c be t(2). Suppose -3*f = -2 + 20. Let o be (4 + 33\/f)\/(3\/(-4)). Solve o*g + 6 = 4*y, 6*g = -4*y + c*g + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t = 4*c + 78*t - 85566, 6*t = -4*c + 85590. List the prime factors of c.\nAnswer: 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2) + (59 - 52).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5*(u*(u\/u**(5\/8))\/u*u)\/u assuming u is positive.\nAnswer: u**(43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f. Let c(q) = q**2 - 3*q - 3. Let h(o) = o + 1. Suppose 2*t + 6 = -t. Let j = 3 + t. Let v(k) = j*c(k) + 3*h(k). Give x(v(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkhpukkhhkgumu. Give prob of sequence gh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1992190 by 8815.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at most -1925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 17 - 29 - 35 - 16*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence budd when four letters picked without replacement from udbub?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Let g = 6 - s. Suppose -y + 31 = g*i, -2*i + 2*y - y + 23 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1640628 and -111\/88.\nAnswer: 3281256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 7*n**2 - 7*n - 7. Let m be w(8). Let z = m + 9. Solve -2*r - 3*r = z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -5 - (0 + 5)) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/108)\/((-51)\/24)*4\/12?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/192)\/(27\/12))\/((-90)\/720).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*u - 1670, -682*w + 683*w = 4*u - 1658. List the prime factors of u.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 6. Let o be v(9). What is the tens digit of (11 - (-2 - o)) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -36, 1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, h: 3, l: 2}. Give prob of picking 1 p and 1 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-40)*2*4\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498406 divided by 1?\nAnswer: 1498406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*k - 182 - 304. Calculate the greatest common factor of 351 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 421*c - 416*c - 80. What is the least common multiple of 11 and c?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 3*n. Let z = -6 - -10. What is the units digit of r(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 5. Let u(w) = -296 - 296 - 292 + w - 296 + 1171. Let t be 7 + 0 - (3 - 3). What is t*q(l) + 4*u(l)?\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8288 + -0.1712. Which is greater: -0.476 or m?\nAnswer: -0.476","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 6 + 2*k**2 - k**3 + 4*k**2 - 9*k + 3*k**2. Let i be p(10). Let s(o) = -2*o + 7. Let g be s(i). Let m(t) = t**2 + 1. Determine m(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.4 - 30.1. Let x = w - -21. Let i = 0.70000056 + x. What is i rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u + 5*p + 3, -u = p - 1. Let v be (3 - 1 - u)*-1. Is -6\/5 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -244*y**3 - 6*y - 3. Let a(i) = -244*i**3 - 4*i - 2. Determine 3*a(c) - 2*m(c).\nAnswer: -244*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 9. Let n(k) be the second derivative of k**3\/6 - 7*k. What is n(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 - 6 = -7*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1058 divide 246258388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10033010 + -10424?\nAnswer: 10022031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 12. Let i(w) = w**3 - 4*w**2 - 5*w + 4. Let b be i(5). Suppose 35 = -b*n - 5. Let x be g(n). Solve -2*t - 4*d = 2, -t + 2*d + 1 = -x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let k(q) = 9*q**2 - 2*q - 2. Let l(m) = -637*m**2 + 143*m + 143. Let h(t) = -143*k(t) - 2*l(t). Determine h(n(z)).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 - 155 = 18*w - 123*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38813187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 735426*x**2 + 2915887 wrt x?\nAnswer: 1470852*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -468*b**5 + 9*b**2 + 204*b**5 + 3*b**2 + b**2 - 2*b**2 + 11*b wrt b.\nAnswer: -15840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.4, -4, -1\/9 in decreasing order.\nAnswer: 2, 0.4, -1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2971 - 2967. Solve -m*i = -3*h - h + 24, -3*i = 4*h - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 860049130 to the nearest integer?\nAnswer: 29327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0075 * -5.\nAnswer: 0.0375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479 is divided by 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/30 - 6*c**2. Let n(l) = -2*l. Give n(y(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -69, -3\/4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-9)*-3*(-444)\/9620.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2\/15*c - 2\/15*c**2 + 4\/5 = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 167*p - 5666. Give w(47).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**17\/(l\/(l\/l**(2\/17))*l) assuming l is positive.\nAnswer: l**(270\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33789865589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 5746*i - 22 - 17 - 11 + 59 as o + g*i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*sqrt(65) + sqrt(65))*2)\/(sqrt(45)*5*6).\nAnswer: 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -240 divided by 11512\nAnswer: -30\/1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1935 is divided by 96.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -8699*f**8\/56 - 197*f**4\/6 - 5*f**2 - 6080*f. Find the third derivative of r(p) wrt p.\nAnswer: -1043880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -731, -1111, -1491, -1871, -2251?\n\"Answer: -380*d - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 - 8*u**3 - 37*u**3 + 21*u**3 + 11*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*a + 4, -3 = 5*a + 3*d - 0. Suppose a = 21*r - 14*r. Solve t - 6*t + 15 = r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-4) - (-2)\/(-4). Suppose -n - b*n + 52 = c, 163 = 4*c + n. Solve -5*s + 15 = c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3038, -6067, -9072, -12041, -14962?\nAnswer: -17823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3355, 8383, 15097, 23509, 33631, 45475?\n\"Answer: 2*g**3 + 831*g**2 + 2521*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125307 and 84609?\nAnswer: 9899253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 - 294007\/4. Let y = -15502 - f. Round y to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3874 and 4768.\nAnswer: 61984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4\/6 + 10*f**3 - 235*f**2\/6 + 60*f - 30 = 0 for f.\nAnswer: 1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 13 + 12 - 0 - -6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 10. Let b be s(12). Let z = -16 - b. Solve 5*h = 3*h + z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 31, 2\/7, -0.3, -289?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n. Let a(t) = 3*t**2 + 8*t. Determine a(u(k)).\nAnswer: 27*k**2 + 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(5) + sqrt(20)\/sqrt(4)*-3)*3.\nAnswer: -6*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1\/521) - -1. What is n rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/((-2)\/192*3). What is l rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8431033*a**3*x**2 + 600*a**2*x**2 - 14*a*x**2 - 38*x**2 wrt a.\nAnswer: 50586198*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-6 + 6) - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 - 34. What is the remainder when f is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2752191 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3432615?\nAnswer: 3, 5, 228841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.22621 from 54876.4298.\nAnswer: 54876.65601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = a - 0 - 2, -3*t + 3 = 0. Let g be (-5 - -4)*(-1)\/275. Let q = g - -527\/6325. Which is smaller: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**6\/120 + t**5\/30 - t**4\/6 - t**3\/3 - 4*t**2. Let s be v(-3). Let q be (s + (-1)\/3)*(10 - -8). Solve -5*z + 2*z = q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 78. Let l = -30 + 18. Let k = y + l. Which is the second smallest value? (a) k (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.23166 or -2?\nAnswer: 6.23166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4224, 10372, 16520, 22668, 28816?\n\"Answer: 6148*f - 1924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51078560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**2 + 9*k + 14. Let o(a) = 4*a**2 + 4*a + 6. Calculate 2*g(i) - 5*o(i).\nAnswer: -4*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 17*s - 308 = 0. Suppose -3*y + s*y = 320. Calculate the remainder when 237 is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1785 is divided by 69?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25101\/4 + -6228. Let y = -47 + k. Is y at most 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37420 = 5*m + 4*g, -4*m = 4*g + 6834 + 23098. Let t be -1*5*m\/(-80). What is t rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 3. Let b be k(7). Solve -g + 12 = -b*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24839783 + -4?\nAnswer: -24839787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 545 and 32.\nAnswer: 17440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/8 (b) -2\/119 (c) -0.5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*g = -201 + 317 + 297 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 + 2*d**4 - 375*d**2 - 87*d**2 - 1476*d**2 + 642*d**3 + 1942*d - 247 + 0*d**4 = 0. What is d?\nAnswer: -324, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 295 = s - 2*s, -869 = 3*o - 5*s. Is o at least -292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-10) - (-7)\/(-35) - 2346\/2244?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4 + 3*o**3 + 4*o + 7*o**2 + 2*o - 2*o**3 - o. Calculate the remainder when y(-3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 1}. Give prob of sequence nnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21330 (base 4) to base 3\nAnswer: -212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 + 2 = -7*t. What is the highest common divisor of t and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/10*(-2)\/(-60). Suppose 10 = 2*c + 5*i, -5*c + 7*i - 10 = 2*i. Which is bigger: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -267 + 418. Suppose -127 + b = 8*x. Solve -3*s - x = -0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -5 (c) -0.2 (d) -62 (e) 8\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + 4*q - 5*q)*(15 + 6 - 5).\nAnswer: 80*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 76 = 2*z + 58, 0 = 2*w + 2*z - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 9706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 13*g + 39 - 69.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41.58676ml?\nAnswer: 0.04158676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:55 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -65, -289, -675, -1223, -1933, -2805?\n\"Answer: -81*x**2 + 19*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -3750?\nAnswer: 3746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 1670560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5288065 divided by 5?\nAnswer: -1057613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36278 and 50966.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/28 and -109\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 19*a - 50. What is the tens digit of c(38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.05 + -0.05. What is the smallest value in f, 7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 9) in base 3?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20 + 106)*(-2)\/(-12)*3. Suppose -4*t - 38 = -2*x, 5*t + i - 10 = 2*x. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 + (-790)\/(-25). What is the greatest common divisor of v and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -730 - -710. Suppose -35*p = -39*p + 8. What is the second biggest value in d, -3\/5, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5446 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 2*t - 4*t + (-3 + 1 + 3)*(3*t - t - t) + 53 - 35 + 738*t - 17.\nAnswer: 737*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = -16*o - 49309. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 + -201. What are the prime factors of 127*(z\/(-6) - (2 - -2))?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 552 - 368. Suppose 3*j - 7*j - s = 0. Is 6 a factor of 208\/7 + j\/(-161)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2046 and -89\/22?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (1 - (1 + 4)). Sort 1, z, 14.\nAnswer: z, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/24696 and 83\/493920?\nAnswer: 493920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 44. Solve 4*i - 8 = -2*s, 4*s - 19 = h*i - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -23. Let v(w) = 5*w + 2. Let y(c) = -4*c - 3. Let a(l) = 3*v(l) + 4*y(l). Calculate a(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*b + 7600 = -148*b + 348*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 16*n**3 + 48574*n**2 - 15*n**3 - 5 - 6*n - 48573*n**2. Let a be -1 + 1 + (-8)\/2. What is c(a)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -313\/11 (b) 1\/13 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 16. Suppose 5*z - 19 = 3*n, -4*z + 13 = -7. Suppose 4*t = g*d, 4*d - n*d - 6 = 0. Solve -10 = -t*p - 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 3 (c) 132 (d) -2 (e) -8\/9 (f) -0.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 17 = -5*l + 65, l + 3*o = 6. Suppose -3*g - 15 = 5*d - d, 3*d + l = 0. Let c(w) = w**2 + 3*w + 1. Calculate c(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028 is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 297*f - 18. Let v(y) = -134*y + 8. Let r(b) = -4*p(b) - 9*v(b). Let m(z) = -z**2 + 265. What is m(r(d))?\nAnswer: -324*d**2 + 265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.10077 + -7.1. What is c rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6013, -5, 2 in decreasing order.\nAnswer: 2, -5, -6013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*v - 107 + 37. Solve 2*x + v = 7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 28*k - 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f. Let t(m) = -m**2 + 7*m - 5. Let i be t(5). Let j(r) = 2*r. Let y(a) = i*j(a) - 3*v(a). Let o(h) = 2*h**2 - 4*h**2 + h**2. Determine o(y(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5475791 to 2 dps.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -23, 38\/3, 3\/8, -0.1, -1\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14133019*q - 7066506*q - 7066510*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 24*m + 0*m**3 - 33*m + 62*m.\nAnswer: m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 2 t when four letters picked without replacement from aagartatatu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*1\/((-12)\/(-8)). Let j(k) = k + 0*k + 4*k + 4 - d*k**2. Determine j(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 i, and 1 g when three letters picked without replacement from {i: 1, u: 1, g: 1, z: 1, f: 1, q: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m + 9. Let y(q) = -9*q + 19. Let g(s) = 5*x(s) - 2*y(s). Let f be g(-6). Suppose f = -4*c + 115. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*f - 30 = 81*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -34\/157?\nAnswer: -34\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5359940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 5*d**2 + 2*d + 4. Let p be n(-6). Calculate the highest common factor of 56 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 117304 in 0.9, 5, -5, -3, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -12. Suppose i + 12 = 5*o. Solve -o*n - 18 = -6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**6\/2 + 6*t**5\/5 - 2*t**3 + 3*t**2\/2 - 114. Factor a(c).\nAnswer: -3*c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 a when three letters picked without replacement from mpmaamaappm?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*c - 32 = c, 0 = -c + 3. Suppose -x + u = 2. Suppose -x*l = -4*n, -5*n + 49 + 6 = 3*l. Calculate the remainder when l is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nllmlmnmllmnlmll. What is prob of picking 2 l?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2\/5 + 30367*x + 59672984\/5 = 0.\nAnswer: -392, 152227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 101. Let j be t\/(-6)*(-30)\/(-5). What is the units digit of (-8)\/j + (-24)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from eeeeeeeeeeeezeeeeee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 6. Let z be p(-9). Suppose -y - 1 + z = 0. Solve -y*i = -3*q - 6, 2*i - 4 = -2*i + 2*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -34. Let u(m) be the second derivative of m**3\/6 - m**2\/2 - 2*m. Let x(y) = -5*y + 3. Calculate t*u(p) + x(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -12, -0.04, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -366 + 588. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/1562 + 1553\/4686. Let m = -0.1 + 0. Let s = -5.4 - -5. Which is the closest to m? (a) -0.5 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 6:30 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.019 - -1.019. Which is the closest to -2\/3? (a) v (b) 1\/6 (c) 1 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5 - 134*p**4\/11 - 50*p**3\/11 + 1206*p**2\/11 - 324*p\/11 - 3024\/11 = 0?\nAnswer: -2, -21\/11, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40462, 80934, 121406?\nAnswer: 161878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72 + 6*s - 1\/8*s**2.\nAnswer: -(s - 24)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*j + 50, -45 + 44 = -j. Calculate the remainder when 92 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -13*c - 160. Calculate w(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**3 + 2*i**2. Let l be (-2)\/5 + 46\/(-10). Let h(c) = 7*c**3 - 3*c**2. Let a(y) = l*o(y) - 4*h(y). Find the third derivative of a(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9637614 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8196 times -10?\nAnswer: -81960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -107. Let o be ((-2)\/k)\/(119\/(-51)). What is the nearest to 2 in 3\/7, -12, o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1525, 1299, 913, 361, -363, -1265?\nAnswer: -2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158716 divided by 16?\nAnswer: 39679\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117106 and 2420.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c + 4. Let y(u) be the second derivative of -u**3\/6 - 3*u**2\/2 + u. Let b = 31 - 37. Let r be y(b). Give l(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 - 223?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 9) in base 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzmh when four letters picked without replacement from mhuumpz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 40*f**2 + 4*f + 3. Let n(k) = 14*k**2. Let y(t) = -3*n(t) + u(t). Let d = 1 + -2. Let i be 5\/d*(-2)\/(-5). Calculate y(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3736 - 464 = 0. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775228 is divided by 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrz when three letters picked without replacement from zrrvzvzzv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -16767 + 114767. What is x rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 2754?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7596093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*g = -g + 4, -3*q - 4*g = -20. Let x = 12 - q. Which is smaller: x or 8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**2\/5 + 276*h\/5 - 56 = 0.\nAnswer: -70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 769455074, 1538910148, 2308365222, 3077820296, 3847275370?\n\"Answer: 769455074*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - s**3 + 6*s**3 + 5*s**3 - 13*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*v**3 - 262*v**3 - 293*v**3.\nAnswer: -744*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27302400 is divided by 758?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 105667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0 (c) -14 (d) -5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:18 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/7)\/(u*u**5*u) assuming u is positive.\nAnswer: u**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 47, 73, 99, 125, 151?\n\"Answer: 26*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8*s = 0. Suppose 5*o - 3*z - 21 = 0, -2*o + 0*z - 5*z + 27 = s. Solve -3*a + 4*f - 20 = 0, -3*a + o*a + 10 = 2*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17125973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 13.9994. Round w to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8753 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -890780518*h**2*o - 5*h**2 - 156*h - 20406 wrt o.\nAnswer: -890780518*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 + -2.16. Let x = 3.65 + -9.58. Let v = -6 - x. Which is the second smallest value? (a) d (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309362900 divided by -1925\nAnswer: -160708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**3 - 415*k**2 + 415*k**2 - k + 1. Calculate t(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225888, -225908, -225928, -225948, -225968?\nAnswer: -225988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1300 and 151\/646800.\nAnswer: 8408400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -19. Suppose 5*m - 7*t - 33 = -3*t, -4*t = z*m - 7. Which is smaller: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8473*r**3 - 53194*r**3 + 889*r**3 - 2*r.\nAnswer: -43832*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0.2 (b) -1355 (c) -3\/4 (d) -5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 14196*w**2 - 2*w - 14196*w**2)*(6*w - 4*w + w).\nAnswer: -12*w**4 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473087 is divided by 528.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (4 - (-4 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/23)\/k**(-8))**(-12) assuming k is positive.\nAnswer: k**(-2184\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*155\/(-150) - (-4)\/(-3).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 1. Let c(o) = -o**2 + 3*o - 37. Determine c(g) + 3*u(g).\nAnswer: -g**2 - 3*g - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*d + 5. Let q(b) = -b**2 - 8*b - 10. Let u be q(-7). Sort u, 5, d.\nAnswer: d, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 6033 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 561 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45799066.\nAnswer: 2, 227, 281, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -101012223 (base 4) in base 11?\nAnswer: -48700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 502935 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, o: 4}. Give prob of sequence oot.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y + 5*j = -24, 12 = y - 2*j. Suppose -12*p + 464 = -y*p. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 917\nAnswer: 4\/917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpfppffffppofoffp. Give prob of picking 2 p and 1 f.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*g + 15. Let x = -95 + 144. Calculate the greatest common factor of g and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1749 = 2*m. Let g = 1740 + m. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9931497.\nAnswer: 3, 439, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13344*n + 200127. What is t(15)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 317767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8832 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + x**4 + x**4 + (0*x - 4*x + 2*x)*(2*x**3 + 2*x**3 - 3*x**3) - x**3 + x**4 + x**3 - 2*x**2 - 2*x**4 + 2*x**2 + 3*x**4 - 2*x**4 - 3*x**4.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - 2*y**3 - y**3)*(-9*y**2 + 8*y**2 + 3*y - y).\nAnswer: 4*y**5 - 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124.39688 + -124.4. What is u rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -3) + (-264)\/(-4). Suppose 2*u + u = i. Solve -3*m - 5*g = 2, -g - 8 + u = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 58, 84?\n\"Answer: 26*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) + (-518)\/(-63). Is 15 a factor of -1 + 62*4\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2836, 5721, 8666, 11677, 14760?\n\"Answer: r**3 + 24*r**2 + 2806*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -35*w + 33*w - 14335, 2*z + 5*w = 28625. List the prime factors of z.\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 3814*z + 38148\/5.\nAnswer: -2*(z - 2)*(z + 9537)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*a**3*f**2*u + 1103*a**3*f - a**2*f**2*u + 3*a*f**2 + 3*a*u wrt u?\nAnswer: 8*a**3*f**2 - a**2*f**2 + 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/4)\/(g\/g**3*g)*(g**(-4)\/g)\/(g*g**(-2\/21)*g*g)*((g*((g**(-6)\/g)\/g)\/g)\/g**(-2\/7))\/(g**(2\/3)*g*g)**(-21\/4) assuming g is positive.\nAnswer: g**(-157\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18528, -4\/9, -226, -5, 2\/7.\nAnswer: -18528, -226, -5, -4\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1110)\/93 - (-1 - 792\/(-744)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, c: 1, n: 3, o: 3, k: 6, j: 1}. Give prob of picking 1 o, 1 n, and 2 k.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -21*p**2 - 1380*p + 7879. Determine d(-71).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -151.9+-855918.73997\nAnswer: -856070.63997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*d = 91*d - 45 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/2 - (-30 + 26). Suppose r - 2*i - 457 = 0, 9*i + y = 4*i. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 13. Let u(q) = 2*q + 13. Let z(i) = -3*k(i) - 2*u(i). Let m be z(2). Suppose -14 = m*l - 4*l. Sort l, 3, 4.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224 - -219. Which is the nearest to -0.2? (a) -4 (b) 11.6 (c) o (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1232431421312 - 0?\nAnswer: 1232431421312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036146598 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -268432, -536862, -805292, -1073722, -1342152?\n\"Answer: -268430*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1042403242?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1005142?\nAnswer: -1005145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 24 - 3 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d - 4*d - d**3 + (1 - 1 + 1)*(-2*d**3 + d**3 - d**3) + 15*d**2 + 5*d**3 - 15*d**2 - 15970 + 154*d**3 + 15970.\nAnswer: 156*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.1965.\nAnswer: -0.0393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3\/3 - 2*i**2 - 2*i - 25. What is o(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*q + 13*q - 21*q)*(2*q + 17*q + 2*q) + (q**2 - q**2 + q**2)*(1 + 2 - 2) to the form z + y*q**2 + h*q and give y.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1831 = -172. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 10*g**3 - g**2 + 5*g - 20. Differentiate z(k) wrt k.\nAnswer: 60*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9368.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + 10*s + 7*s**2 - 11*s + 4 - 3*s**3. Let a be k(4). Suppose 0 = -3*v - 3, -5*v - 177 = -5*z + a. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 8*d**2 + 15*d - 47. Let o be u(-10). Let m = 16 + -4. Let x = 42 + -33. Solve -x*n = -m*n + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 2, j: 2}. What is prob of sequence jj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474 divided by -6.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -114, -478, -1084, -1932, -3022?\n\"Answer: -121*c**2 - c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1890 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -m - 4*v, -4*v + 22 = 2. Is (1\/(-1))\/(m\/(-693)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/14 - (300\/42 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2612 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3885, -3981, -4173, -4509, -5037, -5805, -6861?\n\"Answer: -8*d**3 - 40*d - 3837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 21*c - 1. Let s be j(1). Let m = 22 - s. Factor 0 + 0*q + 1\/2*q**m + 1\/2*q**3.\nAnswer: q**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5907003 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 23 - 7 = 0. Let l(f) = f**2 + 5*f + 5. Let c(y) = y**2 + 2*y - 1. Let s(z) = -2*c(z) + l(z). What is the remainder when s(0) is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 - -463.711?\nAnswer: 571.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96577293509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + 2*x)*(-3*x + x + 0 - 2)*(-4 + 2 + 4)*(-x + x - 2*x)*(0*x**2 - 2*x**2 + 0*x**2).\nAnswer: 16*x**5 + 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.19 or 2\/3?\nAnswer: 2.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5 + 6915*s**4 + 167391*s**3 + 691485*s**2 + 531012*s = 0. What is s?\nAnswer: -19, -4, -1, 0, 2329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - q**2 - 34*q + 69. Give k(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527811.1ns to microseconds.\nAnswer: 527.8111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 5. Let g(i) = -i + 6. Let s(r) = -2*r + 11. Determine v*g(f) + 4*s(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13916068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 4*u + v, 2*u + 14 = 3*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 0 (c) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + -114044322?\nAnswer: -114044424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -227\/981 + 1\/109. Let t = 10209 - 61253\/6. What is the nearest to 2\/11 in t, o, -8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*n**5 - 22*n**3 + 5*n + 53 wrt n?\nAnswer: -140*n**3 - 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23712.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 17*x - 8. Let n be o(12). Let k = 95 + n. Suppose 0 = 4*r, 4*z - 4*r = 3 + 1. Which is the closest to z? (a) k (b) 2 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 33, 49, 67?\n\"Answer: a**2 + 11*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**8\/252 + 2*u**7\/315 + 15*u**2. Factor q(j).\nAnswer: -4*j**4*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*v + 78*v - 2 + 7 - 33*v in the form h*v + w and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35818.1 - -35818. Which is the closest to -0.01? (a) 0.3 (b) 2 (c) q (d) 13.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 2:53 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 45*f**2 - 405*f + 44. Calculate g(52).\nAnswer: -2088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 17*f - 26. Calculate o(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 9 = c + 16, -c = -2*x + 1. Let t be x - -56 - (4 + 0). Calculate the greatest common divisor of 44 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 34510 = -5*x, -2*x - 571*c + 13805 = -572*c. Is x at most as big as 6905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 1074*i**3 - 1047*i**3 + 40*i**2 - 3*i**4 - 27*i - 37*i**2 = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*q + 7. Let z = q + 14. Suppose o = -z + 11. Calculate the remainder when 24 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*o**3 - 11 + 19 + 61*o**3.\nAnswer: 15*o**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*j - 22*j - 26336 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/258 or 47560?\nAnswer: 7\/258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -71\/2. Let c(d) be the first derivative of -2 + r*d**2 - d**3 + 0*d. Suppose c(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95794781 to the power of 1\/2, to the nearest integer?\nAnswer: 9787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*d = 8, -5*d + 22 = 2*w - d. Let j be (-1 + 0)*w\/(-1). Calculate the greatest common factor of j and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -4, 0.4, -3\/10, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4051450299 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 106 = -2*m, -m + 65 - 21 = -z. Suppose 27 = 2*n - m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2406080 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15652 is divided by 11171?\nAnswer: 4481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 7*z**2 + 6*z - 4. Suppose -w = -0*w + 5*m - 19, -m = w - 7. Does 9 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3 + 3204*w**2 - 883575*w + 14883750 = 0?\nAnswer: 18, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Let a(f) be the third derivative of -f**5\/30 + f**3\/3 - 107*f**2. Calculate j(a(w)).\nAnswer: -4*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 40322224?\nAnswer: 40322240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3 + 4*a - 3*a + 11 + 8*a. Let s(h) = 5*h + 4. Let n(w) = 4*b(w) - 7*s(w). Calculate n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -22, -67, -152, -289, -490, -767?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 298*q**2 + 0*q + 299*q**2)*(-47*q + 194*q - 42*q).\nAnswer: 105*q**3 - 525*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 664 = 420 - 210. Solve -x*w - 6 = -25*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(396))**2 - (sqrt(1331) + (sqrt(1331) + 1 + sqrt(1331) + sqrt(1331) - sqrt(1331)) + sqrt(1331))**2.\nAnswer: -22485 - 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 640 = -5*z, 506 = 9*i - 5*i - 2*z. Let u = -1391\/11 + i. Factor 2\/11*y**2 - 2\/11*y**3 + 10\/11*y + u.\nAnswer: -2*(y - 3)*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/4 + 7*l**3\/3 + 4*l**2 + l - 2. Let m be c(8). Suppose 2*n - 5 = m. Calculate the greatest common factor of 21 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 x when four letters picked without replacement from {p: 4, x: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -46 - 0*(-4)\/12. Let c = 79 + q. Calculate the remainder when c is divided by 16 + (-90)\/(-10) + -15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178 - -203. Which is the third biggest value? (a) x (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -12*b - 90. Calculate t(13).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**2 - 19*q - 3. Let u be h(-5). Suppose -279 = -3*a - u. Suppose -v - a = z - 1, -2*z = 3*v + 4. Put -5, v, 4, 3 in descending order.\nAnswer: 4, 3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19\/10 + -2\/5. Let p = 14 - 13. Let h = 0.9 - p. What is the nearest to -0.1 in 0.1, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006682 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/(sqrt(4)\/sqrt(2)))**2 + -3)*-2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 81. Suppose 4*w - 7 = -5*k, a*k + 5*w - 5 = k. Solve 0 = -4*n + k*n - 4*h - 16, -2*n = -h - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - 2*u - 1. Let r be ((-10)\/8)\/((-2)\/16). Let x be 2\/r + (-28)\/(-10). What is the units digit of j(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + -24 + -45 - (-1 + 3 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 20 = -2*d, d + 14 = -u - 4*u. Let c(v) = 3*v**2 + 1 - 4*v**2 - 2*v - v**3 + 8*v**2. What is the remainder when c(d) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Solve -3*t + t = a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * 26.\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t. Let y = 156 - 201. Let l = y - -50. Let d(w) = 10*w. What is l*u(k) - 2*d(k)?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((38\/(-3))\/19)\/2)\/(2\/72)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - ((-6)\/(-3) + -2). Let r be (0 - 27)\/(2\/h). Let j be r\/(-2)*(-8)\/(-12). Solve -4*n - j = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 11 - 12 - 9*s**3 - 9 - 54.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5 = 5*n, 19*n = 4*g + 21*n - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 47. Let w = 282 + -270. Which is smaller: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*l**2 - 207 - l**3 + 2*l**3 + 208 in the form h*l**3 + s + j*l**2 + t*l and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 3. Let r be c(3). Let w(m) = 3 - 2 - 5*m - r - 1. Let n(p) be the second derivative of 3*p**3\/2 + 11*p**2\/2 - p. Determine -4*n(y) - 7*w(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 7*p**6\/24 + 33*p**5\/40 - 39*p**4\/16 + p**3\/6 + 3*p**2\/2 + 22*p. Determine i, given that y(i) = 0.\nAnswer: -3, -2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-176\nAnswer: 70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 20*v - 19*v - 38*v in the form k*v + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -1\/8*l**4 + 0 + 1\/60*l**5 + 1\/120*l**6 + 1\/3*l**3 + l**2 + 0*l. Suppose -4*g = -4*s - 2 - 10, -4*g = -20. Calculate y(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59068*b + 31700 wrt b.\nAnswer: -59068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 1\/180*m**5 - 1\/72*m**4 + 0 - 1\/1080*m**6 + 14*m + 0*m**2 + 2*m**3. Let l(b) be the second derivative of q(b). Factor l(z).\nAnswer: -(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4171164.2632 and 0.6.\nAnswer: -4171163.6632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25293000 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:36 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -375\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146739 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*p = 19, 65 - 55 = -4*j - 5*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -90, -168, -242, -312?\n\"Answer: 2*u**2 - 88*u + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*g**2 - 14*g**4 + 14*g**2 + (-111 - 89 + 40)*(4*g**4 - 5*g**4 - 5*g**4) to c*g**2 + p*g**3 + a*g + i + l*g**4 and give l.\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16150487669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 48*t + 119. Is v(17) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1868 + 1863. Let l = -1 + -3. Sort 2, h, l, 0 in increasing order.\nAnswer: h, l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -89*g**3 - 12354*g**2 + 12354*g**2 + (0 - 2 + 1)*(4*g - 2*g + 0*g)*(g**2 + 0*g**2 + 2 + 0*g**2) + g**3 - 5*g**3 + 0*g**3.\nAnswer: -95*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 199 (base 10) to base 16\nAnswer: c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/4)\/p*p**7*(p\/((p*p*p**(4\/9))\/p))\/(p**(-2\/5)*p*p))\/(((p*p**(-8))\/p*p)\/(p**(-9)*p))**(-8\/5) assuming p is positive.\nAnswer: p**(173\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/51 + 39084912\/3672 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 + 15 - 65*n)*(-n**2 + 2*n - 2*n).\nAnswer: 65*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172 + 312. Let p = -136 + f. What is the third derivative of -3*w**2 + 19*w**2 + 22*w**2 - 15*w**2 - 3*w**p wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -4, -1\/3, -2\/2801?\nAnswer: -2\/2801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*s**2 - 554 - 196*s**2 + 2*s - 204*s**2 - 1734 - 713 wrt s.\nAnswer: -604*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*p = -60, 2*o + 0*o - p = 20. Suppose -2*z = -0*z - 16. Suppose -76 = z*y - o*y. Calculate the highest common divisor of 171 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 153.09 and -1.9.\nAnswer: -290.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 4*r + 4 = -7*v, 0 = -3*r. Suppose 0 = 5*q - m + 1 - 4, -12 = -v*q - 5*m. Is q < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-198*g**2 + 4152 - 4152)*(2 - 3 - 5) as z*g**2 + d + r*g and give z.\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -938607 divided by 44.\nAnswer: -938607\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*i**2 + 28711*i*l - 461483*l wrt i.\nAnswer: 48*i + 28711*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 14. Suppose 0 = -2*m - o*m + 20. Suppose 105 = m*j - 160. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*r - 6 = 0, r + 2*r + 17 = 2*l. Let f(j) be the second derivative of 0*j**2 - 1\/12*j**l + 0 + 1\/6*j**3 + 3*j. Factor f(c).\nAnswer: -c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/71, -0.032, -8, -2943 in increasing order.\nAnswer: -2943, -8, -0.032, 4\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73235, -293016, -659339, -1172204?\n\"Answer: -73271*p**2 + 32*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5 - -6)*-3)\/((-2)\/(-92)). Let x be 0 - 1 - (-1 + z). Let u = x + -131. Solve 2 = u*j - 6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 36. Let x(b) = -6*b + 4. Let i(l) = -6*l + 3. Let w(s) = 6*i(s) - 7*x(s). Let q be w(7). Calculate the highest common divisor of u and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/21))**(-1\/75)*(d\/d**(6\/19))\/(d\/(d**(-15)\/d)) assuming d is positive.\nAnswer: d**(-488212\/29925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -177, 9, -2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*w**2 - 1533262*w - 1966538?\nAnswer: -12*w - 1533262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-178)\/(-6) + 2\/6. Let a(c) = 7*c + 2*c**2 + 4*c - 2*c**2 - 12 - c**2. Let q be a(8). Calculate the highest common factor of q and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4560, 4417, 4028, 3273, 2032, 185?\nAnswer: -2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1049 - 2364 = -r + 2495. List the prime factors of r.\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + r + 40. Let b = 48 + -45. Suppose -b*w + 0*w + 171 = 3*f, 3*f - 4*w - 192 = 0. What is the greatest common divisor of f and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78115 - 9797 = -22*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.654 - 1?\nAnswer: -1.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 137 - 379 + 128 + 5*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.6 + 18.2. Which is the nearest to m? (a) 3 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 6741 = -0*j. Let x = j - -3238. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416631221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/7)*n)\/n**4 assuming n is positive.\nAnswer: n**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1846, -4, -14.\nAnswer: -1846, -14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m**3 + 13*m**2 + 58*m - 86. Does 2 divide l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 27 = -3*w, -5*w + l + 1 = -16. Suppose 0 = 3*m - g + 156003, w*m + 0*m + g + 207997 = 0. What is m rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -59*q + 21. Give p(-2).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t + 41. Determine s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 3*y. Let w(q) be the second derivative of -q**5\/2 - 8*q**3\/3 - q. Calculate 3*w(p) + 16*z(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 + 338*p**4 - 6948*p**3 + 33976*p**2 - 14800*p - 56064 = 0. Calculate p.\nAnswer: -1, 2, 6, 16, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.99 + 7. What is the closest to g in -4, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:01 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21779.742 and 43563.\nAnswer: 21783.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1889533?\nAnswer: 17, 111149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2293*u + 127*u**2 - 781*u - 752*u - 760*u.\nAnswer: 127*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, -31, 2, -10\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-3) - -18 - (0 - 2). Calculate the highest common factor of 234 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 8*l - 9. Let f be g(6). Let d be ((-21)\/(-6))\/(f\/6). Solve 0 = -2*q - d + 3, 2*u = -q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyybyyylkyykky. Give prob of sequence bk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(-1 + 0 + 4) + 2 + 1 + 6)*(62*s + 63*s - 30*s).\nAnswer: 570*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1201*g + 4793. Give y(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x = 33*x + 4433. Let a = 439 - x. Calculate the remainder when a is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -563911.929100819 - -563911.86. Let h = 0.0691 + q. What is h rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9 (base 14) to base 7.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73\/175 - -2\/175. Let p = -0.178 - -0.078. What is the nearest to p in -1, g, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/5760 and -31\/120.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y*y\/(y*y*y\/(y\/y**(3\/2))))\/(y**(-2\/5)\/y**(-3)))\/(y**2*y**(-3\/7)\/y*y*(y\/(y**(1\/2)\/y)*y)**(2\/7)) assuming y is positive.\nAnswer: y**(-587\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 50581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/304)\/((-11)\/6).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 50?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3424 is divided by 490.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6480\/(-105))\/18 - (-6)\/14. Let x(g) = -7*g - 18. What is x(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-9 - -11 - (-2 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36461 (base 9) to base 2\nAnswer: -101111101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 1. Suppose 4*l + 3*d = -5, -4*d - 4 - 4 = 4*l. Let z be j(l). Suppose z = 3*a - 2 - 58. Solve 6*h - 2*h = a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from dkkfupm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 49*f**5\/80 - 7*f**4\/12 + f**3\/6 - 66*f - 1. What is n in y(n) = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c + 2*c**3 - 181808 - c + 3*c**4 + 181809 - 15*c**2 as g + k*c + l*c**4 + t*c**2 + v*c**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 29. Suppose 5*c + 5*f - 95 = 0, -3*f = -7 - 5. Let q be g(c). Suppose 0 = -w - 7*w + q. Sort 1, -4, -1, w.\nAnswer: -4, -1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3824972, 3824998, 3825024, 3825050?\n\"Answer: 26*r + 3824946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(3 - 1 - 3) - 10 + 13 - 22)*(-2*c + 4*c - c).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w + 41*w + 1785 = 0 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1305 + -1306. Let w(g) = 13*g - 2. Determine w(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17297000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*r - 9, 2*h + 0*r + 4*r = -12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/5 - (14 - 32).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-615)\/246 - 34\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(sqrt(76)\/sqrt(4))**2*-2.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*r + 32 = 7*n, -3*r = -4*n + 31. Calculate the remainder when n is divided by ((-36)\/(-45))\/(2\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*g - 7*g + 76, 2*t - 2*g - 56 = 0. What is the tens digit of (t - -5) + -2 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4802743?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -27. Let o(s) be the first derivative of -s**2 - 3 - 1\/5*s**j + 0*s**4 + 0*s**3 + 0*s. What is the second derivative of o(m) wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddgtddgddddddgwtgd. What is prob of sequence gg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 14 = t. Let b = 43 + t. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8779\/7, 0, -2\/5, -951 in decreasing order.\nAnswer: 8779\/7, 0, -2\/5, -951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 294.2 + -294. Which is the nearest to 10? (a) 5 (b) n (c) 43\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -195, -175, -105, 33?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.6 - 6. Let k = g + 0.40001. Round k to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1451 is divided by 159?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 617 = 17102. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by 1729?\nAnswer: 124\/1729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1195320738 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from llllllllccll.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248153659 to the nearest integer?\nAnswer: 15753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10051997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**4\/4 - 5*t**3\/3 - t**2 - 3*t + 1. Let u be (-3)\/4 + (-34)\/8. What is the units digit of m(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 16*o + 32. Calculate h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k**3 + 0*k**2 - 2*k**3. Let v(p) be the third derivative of -p**5\/60 + 629*p**2. Let h = 5 + -4. Calculate h*v(s) + i(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*p**4 + 138338\/7*p**2 - 1052\/7*p**3 + 0*p + 0.\nAnswer: 2*p**2*(p - 263)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -3 + 1*sqrt(343) + sqrt(343) - sqrt(343) - sqrt(343))**2 + -5 - (1 + sqrt(343) + (sqrt(343)*3 - sqrt(343))*-6)**2) + -4.\nAnswer: -41161 + 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + i**2 - i**3 + 3*i**2 - 6*i - 1. Let j be x(3). Let q = 21 + j. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -1172?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5146b7 (base 15) to base 6\nAnswer: 214442014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Suppose f + 2*m - m + 7 = h, -2*m - 6 = 0. Let a(z) = 2*z + 3. Let i be a(f). Let v(k) = -k**2 - 4*k + 6. Determine v(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (52\/(-182))\/((-1)\/7). Let l(s) be the first derivative of -2 - 2\/3*s**4 + 2*s**3 - k*s**2 + 2\/3*s. Factor l(u).\nAnswer: -2*(u - 1)**2*(4*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-4)*(k\/((k*k**(-3\/7))\/k))\/k)\/(k*k**(2\/7))**30 assuming k is positive.\nAnswer: k**(-232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 16*a**2 - a + 2. Suppose 18 = 5*c - 3*f, f + 8 + 5 = 4*c. What is the hundreds digit of l(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*u = -7*f + 35, -5*f - 4*u = -45. Let x = 5.5 - 5.6. Which is the nearest to x? (a) f (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-2)\/(-4)))\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) 0.41 (c) 61 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20 = 32. Suppose 6 = -2*j - j, -l*i = -5*j - 466. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 6*x + 4*x)*(605 - 605 - 92*x) - 4 + 43*x**2 + 51*x**2 - 90*x**2.\nAnswer: -180*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w - 16*w - 17*w - 3*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34dc (base 14) to base 8\nAnswer: -21772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 + l**2 + 10*l - 6. Let d(f) = -9*f**3 + 2*f**2 + 19*f - 11. What is -6*d(c) + 11*y(c)?\nAnswer: -c**3 - c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 387 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-80)\/10*133702\/(-28) + (-6)\/(-14)?\nAnswer: 38201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + -7.95. Let w = 7.7 + x. Which is the second smallest value? (a) 0.2 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 144, 143, 132, 105, 56, -21, -132?\n\"Answer: -a**3 + a**2 + 3*a + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p**2 - 6*p + 6. Let o(l) be the third derivative of -13*l**5\/60 - 11*l**4\/24 + 11*l**3\/6 - 26*l**2. Determine -6*o(q) + 11*y(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3403329 centuries in months?\nAnswer: 408.39948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyqyyyyyy. Give prob of picking 2 y.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 62, 115, 178, 245, 310, 367, 410?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1707 and -1708 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 29440, 4, -5, -4, -3 in ascending order.\nAnswer: -5, -4, -3, 1, 4, 29440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1 (b) 5 (c) -0.4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1911, 1906, 1891, 1860, 1807, 1726, 1611?\n\"Answer: -z**3 + z**2 - z + 1912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2102 + 1?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 272797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 909190839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 3*x + 2. Let g be y(-1). Suppose 5*d + g*d - 20 = 0. Solve -2*i = -d*i - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1556 and 85520483?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 403314?\nAnswer: 403322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5743 - -5748. What is the fourth biggest value in 1\/8, f, 4, 2\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/210)\/(2\/7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 36. Let f(c) = 3*c**3 + 37. Give -5*f(y) - 6*n(y).\nAnswer: -3*y**3 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 392, 397, 402, 407?\n\"Answer: 5*v + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + g - 19. Let u be d(-4). Let y = u + 84. What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smnepmlnpppnnne. Give prob of picking 2 e and 1 p.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4323?\nAnswer: 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (-25 + 26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.31 times 644\nAnswer: 2131.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**0)**(5\/9)\/(g\/g**(1\/2)*g*g*g**(1\/8)) assuming g is positive.\nAnswer: g**(-149\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.61347 - 13.62. Round q to four decimal places.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1082157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46453101 is divided by 1079.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 5*s**2 + 3. Let r be b(-3). Let o = r + -13. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a + 38 - 18 - 22 - 2*a**2. What is f(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 79.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639 = 201*n - 210*n. Suppose -n*q = -68*q - 1074. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296433 is divided by 296421?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 20191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 56. Let t be (q\/4)\/((-115)\/20 + 5). Let c(l) = -3*l**2 + l - 2. Calculate c(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(300) + -3 - (-4 + 1 + sqrt(300) + sqrt(300) + sqrt(300))) + sqrt(21)\/(-2*sqrt(343))*3)**2.\nAnswer: 61347\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -253, -774, -1333, -1948, -2637, -3418, -4309?\n\"Answer: -3*z**3 - z**2 - 497*z + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 582, -7295, -15172, -23049, -30926, -38803?\nAnswer: -46680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48290 = -2*m - 4*i, 0*i + 3*i = 12. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10474, -20967, -31460, -41953, -52446?\nAnswer: -62939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 12 = -112. Let x(u) = -3*u - 4 + v*u - 1. What is the tens digit of x(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/8*32\/12. Let t = g + -4. Calculate the highest common divisor of 9 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -13*q + 61. Let w be d(5). Calculate the lowest common multiple of (730\/(-20))\/((-3)\/w + -1) and 2.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24314 is divided by 690.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30411?\nAnswer: 3, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 13*p**2 - 7*p - 13. Let j(d) = d**3 + 6*d**2 - 3*d - 6. Let r(m) = 7*j(m) - 3*o(m). Suppose 6 = 2*n - 0. Let x = -6 + n. Determine r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*r - 28*r. Let m be -1*(-4 - 4\/(-2)). Solve q - 2*q + m = r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d + 113. Give r(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 71*q + 813. Let b be c(10). Solve 4*t = -5*h + 5*t - 15, 0 = h - 5*t + b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**3\/3 - f**2 - 2*f + 38. Suppose 5*d = -2*p - 19, -d = -2*d - 5*p - 13. Give k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**(-1\/3)))**(-21\/4)*(g\/(g**(-2\/7)*g))\/(g\/g**2*g)*(g*g**(2\/3)\/g)**(-29)\/(g*g**2*g**(-2\/3)) assuming g is positive.\nAnswer: g**(-1045\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -19950\/37 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 64, -4, 3, 100, 5.\nAnswer: -4, 2, 3, 5, 64, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**2 - 20*y + 19. Let z be p(1). Suppose z*k + 20 = 9*k. What is the biggest value in 0.1, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(2 - (4 - 2)). Suppose -k - 35 = -5*c + k, 4*c - 3*k - 28 = s. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -13*a**7\/210 + a**6\/30 + 8*a**5\/15 - a**4\/24 + 41*a**2 - 1. What is the third derivative of j(p) wrt p?\nAnswer: -312*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.4, -59.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 587*z - 1196*z + 9 in the form q + d*z and give d.\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13226623.00885 - -13226961. Let d = -338 + j. What is d rounded to 4 decimal places?\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)\/sqrt(2))\/((sqrt(110)\/sqrt(2))\/sqrt(5)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 179920?\nAnswer: 1259440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 24\/7, -16333, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49379312.\nAnswer: 2, 37, 239, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Product of 49.2 and 44.\nAnswer: 2164.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((11 - 5) + 4 + -4 - -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 83 = -5*g, 3*p + g = 6*p - 179. Differentiate p*y + 26 - 110 - 188*y - 70 with respect to y.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5, 47 = 2*h + 3*k - 2*k. Let m be h + (-2 - -2)\/(-1). Suppose -s - o + m = 2*s, 5*o = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 12*m - 229 - 109 = 25*p, 4*p - 88 = 3*m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/4 - 47*i**3 + 8359*i**2\/4 + 2232*i - 4275 = 0. Calculate i.\nAnswer: -2, 1, 75, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4840\/1089*(-2)\/(-104))\/(13\/((-234)\/(-15))).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.45 + 0.85. Let x = j - -4.51. Let y = -0.09 - x. Which is the closest to 0.1? (a) -3\/5 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 330956*v\/7 + 661968.\nAnswer: -2*(v - 165492)*(v + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 6*u + 9. Let s = -289 - -291. Let j(x) = -3*x**2 - 15*x - 19. Let b(i) = s*j(i) + 5*t(i). Determine b(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*u + 20 + 4 = 0, 5*a - 3 = 3*u. Let v(t) = -t**2 + 2*t + 4. Let g be v(a). Let i be (100\/3)\/(g\/30). What is i rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0*v - v**3 + 0 + 10*v**2 + 5\/12*v**4 - 3\/20*v**5 + 1\/120*v**6. Is k(8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l = 18*l - 12. Which is the nearest to 1\/4? (a) l (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x**2 + 18*x - 26. Suppose c - 40 = 4*z, 0*c + 4*c - 34 = 2*z. Is n(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 10*h**2 - 2*h + 24. Let o be n(10). Suppose 2*y + o*y = 1518. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**2 + 23*f**2 + 22*f**2 - 15*f**2 - 12*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a = -6*a. What is the nearest to a in -5, -3\/11, -2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00183645433 to five dps.\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*f - 7999 = -19015 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0718 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(486\/12) + (-238)\/(-18). Suppose -9 = 37*r - 40*r. Solve -2*u - r*j - 5 = 5, -u + o = -3*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 4075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84)*-1 + sqrt(84)) - sqrt(84))\/((sqrt(180)\/sqrt(3))\/sqrt(5)) + (-2*1*sqrt(70))\/(-2*sqrt(810)).\nAnswer: -8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -116457.352 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 7*n + 10. Let k be z(-8). Let a(f) = -7*f - 4 + 10*f**3 - 8 - 6*f**k - 1. Let q(o) = 3*o**3 - 2*o**2 - 2*o - 4. Calculate -2*a(c) + 7*q(c).\nAnswer: c**3 - 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9618582833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 20*t - 3 - 5 + 5. Let c be z(5). Suppose -4*a - 41 = -c. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 7*u**2 - 8*u + 4. Let y be t(-6). Let h = 20 - y. Let o be (-30)\/(-20)*h\/(-6). Which is the third smallest value? (a) 0.6 (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 7*y**2 + 5. Let g be r(7). Let j = 9 - g. Suppose -4*o = j*u + 61 - 108065, 108003 = 4*o + 3*u. What is o rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 997*l + 53842. What is w(-54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y**6 - y - 1\/30*y**7 - 1\/4*y**4 - 72*y**2 + 0 - 1\/15*y**5 + 0*y**3. What is the third derivative of j(q) wrt q?\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 6*g**2 - 45*g + 4*g**2 + 268*g to f*g + v*g**2 + p and give f.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**3 + 3*v**2 + 14*v - 3. Let d(u) = -u**3 - u**2 + 5*u - 1. Let i(j) = -3*d(j) + t(j). Let q(g) = g**2. Calculate i(z) - 6*q(z).\nAnswer: -2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93.069 - 93. Let h = 2.931 + w. Which is the biggest value? (a) h (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(15)\/(sqrt(880)\/sqrt(11)))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - 118?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104961*m**2 + 314927*m**2 - 104975*m**2 - 104949*m**2.\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -23*h + 25. Is j(-4) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k - 21. Let s(m) be the second derivative of m**4\/12 - 5*m**3\/6 - m**2 - 2*m. What are the prime factors of s(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 384756147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.005, 4 in ascending order.\nAnswer: 0.005, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10010111100110110?\nAnswer: 10010111100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/9 - 22364*u**3\/3 + 4504558*u**2\/9 + 4661096*u\/3 + 9411640\/9 = 0. Calculate u.\nAnswer: -33613, -2, -1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -31*j**8\/336 - 11*j**5\/60 - 35*j**2. What is the third derivative of p(a) wrt a?\nAnswer: -1860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p - 23. Let j be k(-1). Let s be (2*12\/(-600))\/((-2)\/j). Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d + 20*d + 45*d + 11*d - 92 - 70*d.\nAnswer: 25*d - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 118. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.57 and -2241.\nAnswer: -5759.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 59*d. What is the remainder when 173 is divided by f(1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = 4*c - 12, 0 = -4*z + 3*c. Suppose -z*x - 8 = x, 2*x = -3*v + 62. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 19283394621330?\nAnswer: 19283394621330.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**3 + 2*s**3 - 2*s**3)*(2 - 1 + 1) + 2 - 2 + s**3 - s**3 - 1 + 1 + 0*s**3 - 2*s**3 - 6*s**3 to the form t*s**3 + p*s**2 + q*s + h and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*1\/((-6)\/(-45)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-14) + (-279)\/6. Let j = -39 - r. Suppose 0 = 2*h - j, 2*t - 4*h - 59984 = -t. What is t rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1469270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3385 (b) -6 (c) 7 (d) 2 (e) 0.3 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-3)\/9)*((-10)\/(-72))\/(1660\/4482).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/28)\/(12\/(-7))*-8.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -49110 rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yzyayyyasmmya?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let v = -92\/15 - -19\/3. Let y = -439 + 435. What is the nearest to -1 in v, y, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*10*(-7)\/(1890\/12).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3330 and 126.\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 80 + 2920 = 5*a, 543 = a + 4*u. List the prime factors of a.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.10295, -0.4, 4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 712 divided by -178.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + -6 + 48\/(-15) + 0. Let m(j) = -2*j - 14. Let g be m(-6). What is the second biggest value in g, u, -8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/5)\/8*0\/8)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 2*r = 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 7*w**2 + 3*w + 9. Let d be y(7). What is the greatest common divisor of 30 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**4 + 100*n**3 - 58905*n**2 - 3332340*n - 29468340 = 0.\nAnswer: -66, -11, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a + 1. Let o(w) = 4*w. Calculate 2*n(d) + 5*o(d).\nAnswer: 12*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14091 and 989835.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -20558*k - 2158594. Calculate d(-105).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -70600 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 234.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 9:03 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 1, l: 5, q: 2, j: 6}. Give prob of picking 1 t, 1 q, 1 l, and 1 p.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1 = 3*c, 3*x = -3*c - 201. Let k be 484\/x*(-9)\/6. Solve -17 = -3*f - k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:18 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16215 and 119830.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(300)*2 - sqrt(300)) + sqrt(300) + 3 + sqrt(300)*2 + 5)*4)**2.\nAnswer: 368640*sqrt(3) + 2801664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*n + 18, n - 15 = -q - 8. Does 29 divide (-1)\/q - 36608\/(-78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/4 and 9\/(-15)*270\/(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 4:24 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*q + 12*q + 6188 = -193*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177272 and 42?\nAnswer: 3722712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -41.5, -4\/7, 2 in increasing order.\nAnswer: -41.5, -4, -4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.726414516 - -529.273589254. Let r = 542 - f. Round r to 7 dps.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1100) - (sqrt(1100)*2 + sqrt(1100) + sqrt(1100))) + sqrt(1100)))**2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - 7*i - 2*i + 3*i + i - 2*i + 0*i - i + 3*i + (3 - 3 - i)*(-3 + 2 - 1) - 3*i + 4*i - 2*i - 29 + 29 + 5*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-6)\/(-8))\/((-3)\/10)*(-252)\/(-315)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-5 + -3 - (-54 + 14))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5149, -9305, -13459, -17611, -21761, -25909?\n\"Answer: b**2 - 4159*b - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/1241, -2, -12732\/5, -5?\nAnswer: -2\/1241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5940891 divided by -2?\nAnswer: 5940891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m - 15*m + 27*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 + 203*g**2 + 2088*g + 31185. Give p(-92).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5961920.\nAnswer: 2, 5, 31, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57\/5 of a gram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. Suppose -438 + 1966 = 8*d. Suppose -d = -k + 5*y, w*k = y + 2*y + 747. List the prime factors of k.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 6, -897 in descending order.\nAnswer: 6, 3\/7, -897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2 + 8\/7*f + 4\/7*f**3 + 0 - 2\/7*f**4 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) 3 (c) 2 (d) -1\/9 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20120122002000 (base 3) to base 12.\nAnswer: -1207416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975828 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 3 in decreasing order.\nAnswer: 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -14.40906936?\nAnswer: -26.40906936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - 26*m**2 + 25*m + 20. Determine a(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:58 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1875, 7359, 16483, 29241, 45627, 65635?\n\"Answer: -j**3 + 1826*j**2 + 13*j + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, -90, -291, -492?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1194*l**3 - 16*l**2 - 314053*l wrt l.\nAnswer: -7164*l - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sshshssshss. Give prob of sequence hh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 999 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 the remainder when 397 is divided by 82?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1362513\/112 + -12165. What is the common denominator of -123\/220 and x?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006132 take away 23?\nAnswer: -22.993868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 1150 = 16*h + 5*k, -k = -3*h + 670. Let l = 311 - h. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**3 + 0 + 2*h**3 - 1)*(3*h - 5 + 5).\nAnswer: -12*h**4 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w + 5. Let q(l) = -4*l + 3. Let o(j) = 5*k(j) - 7*q(j). Let i = -18 + 322. Let a be (-6)\/(-16) + (-2546)\/i. Give o(a).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.92 * -166.4\nAnswer: -1317.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 11 = y + i, -4*i + 24 = 2*y. Let l be -21 + -1*(-1 + 2). Calculate the remainder when 4\/l + (-299)\/(-11) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/533379 and 16\/63.\nAnswer: 1600137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20948994\/7 less than 2992712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 + 11*q - 30*q - 1 + 18*q)*(-1 + 3 + 0).\nAnswer: 10*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 3 + 2\/(-1). Suppose 3*r = 3*c, -1 = 3*c + 5. Let q be (r\/(-10))\/(7\/(-14)). Is q bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 770\/(-560)*(-18)\/11\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10965 + 10984 - (5 - 2\/1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:04 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t + 1. Let n be h(-1). Let q = -0.32 + 0.02. Which is the second biggest value? (a) 0 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-4)\/168)\/(-1)) - -3. Suppose -54 = -f + d. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460072521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 45254, -3, -5 in decreasing order.\nAnswer: 45254, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 divided by -191.\nAnswer: -238\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 23*f**2 + 31*f - 36. Calculate the least common multiple of x(22) and 27.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 588 (b) 3 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -77. Sort -3, m, 0.5 in increasing order.\nAnswer: -3, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302063552 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6*13)\/((-6)\/(-4)). Suppose -4*z + 0*z = 4*m + f, -5*m - 53 = -z. Let u(g) = 2. Let l(k) = k**2 + 11. Determine m*u(r) + 2*l(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - (132\/(-20) - -1). Sort r, 5, -0.5 in descending order.\nAnswer: 5, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*h**3 + 2*h**2 + 198 wrt h?\nAnswer: 24*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 60656*v - 60656*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 21*k**2 - 21*k - 23. Let u be z(-20). Which is the smallest value? (a) -0.2 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 103, 77, 53, 31, 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10149 - 50*z**2 + 10149 + z**2 - 7*z**2 + z**2 + (-2 + 6 - 3)*(-3*z + 3*z + z**2).\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - 82. Sort 5, 1, c in increasing order.\nAnswer: 1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -56. Let m be d*((-10)\/(-3) - 3). Let b(r) be the second derivative of r**3\/6 - r**2 + 3*r. What is b(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1906 and 8577.\nAnswer: 17154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 345 - 240. Suppose -350*x + 349*x = -42. Calculate the highest common factor of r and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(19) + 0 + sqrt(304)*-3)**2*3 + 2.\nAnswer: -17098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28745, 114916, 258529, 459584?\nAnswer: 718081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 + 298*a**3 - 302*a**2 - 298*a + 300.\nAnswer: 2*(a - 1)**2*(a + 1)*(a + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w**4 + w)*((0 + 2 - 3)*(0 + 6 - 5) + 0 - 1 - 1) - 1261*w**4 - 263*w**4 + 80*w**4.\nAnswer: -1447*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/4)*y**5)\/(y**(-1\/5)*y*y**(1\/7)) assuming y is positive.\nAnswer: y**(743\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1093 - -6602. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14731 - ((-243)\/(-27) - 31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*k - 150*k - 151*k - 148*k - 49508*k**2.\nAnswer: -49508*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -129. Calculate the remainder when 92 is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-83 - -130) + -22\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 85219.18 micrometers?\nAnswer: 85.21918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (7 - (2 - -24)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 2)*(1 - 1 - 1) - 90 + 229 + 232)*(y**5 + 0*y**5 + 0*y**5).\nAnswer: 369*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p + 0*p - 2*p)*(0*p**2 - 7*p**2 + 2*p**2)*(p + p + p) as d*p**4 + a*p + n + x*p**2 + f*p**3 and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 + 2.388. Let p = b - 0. Let l = -0.982 - p. What is l rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(192))**2 + 1.\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 3*c + 0*c + (-3 - 2 + 3)*(-2*c - 4*c + 3*c))*(2*c - 4*c + c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45725, -182381, -409971, -728501, -1137977, -1638405, -2229791?\n\"Answer: -r**3 - 45461*r**2 - 266*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*z - 4955, -5*m + 5182 = -3*z - 7183. What is m rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 16940.\nAnswer: 50820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -611881721 to the nearest 100000.\nAnswer: -611900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4424349 divided by -3.\nAnswer: 1474783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159 + -156. Let k(t) be the first derivative of -1\/5*t**5 + 3 + 0*t**2 + 0*t**4 + 0*t**b + 6*t. Differentiate k(a) wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/29 + 91\/174. What is the nearest to 0.5 in 4\/7, v, 3, -1\/12?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/((-944)\/(-160)))\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*w - 4*d, 15 - 21 = w - 5*d - 13 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 3*o + 9. Let z be u(3). Let v(r) = z + 6*r**2 - 9*r - r**3 - 3 + 2*r**2 - 1. Give v(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.44244408 rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/2*w - 3\/2 + 57\/2*w**3 - 9*w**4 - 63\/2*w**2.\nAnswer: -3*(w - 1)**3*(6*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/9 + 8*h**3\/3 + 382*h**2\/9 + 412*h\/3 + 880\/9 = 0. Calculate h.\nAnswer: -5, -4, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -6, -42, -92?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/6 + 20*i**4\/3 - 505*i**3\/6 + 805*i**2\/3 + 2450*i\/3 + 1372\/3 = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5*2\/(-6) - 8\/12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1876 - -1875. Which is the biggest value? (a) -0.04 (b) 1 (c) 0.011 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/8 - 171*o\/8 + 195\/2.\nAnswer: 3*(o - 52)*(o - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -16. Let b(o) = 0 - 5 + m*o**2 - 2 + o**3 + 7*o + 4. Let n = 337 - 344. Calculate b(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069612 to seven dps.\nAnswer: -0.0000696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11609 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*s**3 - 12*s**3 + 10*s**3)*(-1 - 2*s + 1) - 5*s**4 + 161269 - 15*s + s**3 - 161269 in the form z*s**3 + g*s**2 + x*s + d + o*s**4 and give o.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68926291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -z - 8 - 5, -c - 2*z - 6 = 0. Let o be -2*(-3 + c + -2). Let n = 15 - 24. Sort n, o, -3.\nAnswer: n, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2149635, 2149607, 2149579?\nAnswer: 2149551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3599 - 0.1519. What is y rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -398*r**2 - 10*r + 4. Let d(g) = -200*g**2 - 6*g + 2. Calculate 5*d(u) - 3*j(u).\nAnswer: 194*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1965 and 206535255?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 2, g: 1, z: 1}. Give prob of sequence zg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8531 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 - 2*o - 3. Let c be a(-3). Suppose 0 = -3*t + 4*h + c, 4*h + 24 = 5*t + h. Calculate the highest common divisor of 15 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 + 42*k + 6. Let d(x) = -3*x**2 - 43*x - 5. What is 6*d(u) + 5*g(u)?\nAnswer: -3*u**2 - 48*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 503 + -497. Solve -3*h - 9 = -l - t, 1 = l - h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 46\/107039?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccp when three letters picked without replacement from pppccccpcc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 3, 7*t + 4*w + 0*w - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\/(12\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163 - -166. Suppose 0 = -0*t + u*t - 3*s + 3, -5*t + 1 = s. Solve 3*x - 3*n + 10 = -4*n, 2*x - n + 15 = t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 18*j = -33878. Let s = j + -41651\/16. Find the common denominator of s and -41\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 + -252. Let w = v + 159.1. Which is the nearest to 3? (a) -4\/7 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*16\/24 + (80\/30)\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 282 = -j - 3*y, 2*j = -2*y + 116. Let p = j - 39. Calculate the remainder when 35 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4335819*c. Let b(f) = 2338*f. What is 5*a(o) + 9272*b(o)?\nAnswer: -1159*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, e: 11}. Give prob of picking 3 e and 1 z.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 12:27 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/13 - 492*a**2\/13 + 40344*a\/13 - 1102736\/13.\nAnswer: 2*(a - 82)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26431554972247 - 26431554972247 + 4*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/((y\/((y**(-1)*y)\/y))\/y))**(-4\/9))**34 assuming y is positive.\nAnswer: y**(-272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 49\/3*6\/2. Suppose 5*y - 3*o = t, 6*y + o = 3*y + 21. Is 2\/8 + 966\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14\/(-49))\/(-2))\/((-205)\/(-33005))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*x + 200 = 0, 0 = a + 5*x + 16 + 2. Let t = a + 46. Suppose 5*o - t*o - 132 = -4*z, -5*z + 194 = 3*o. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242372, -483281, -724190, -965099, -1206008, -1446917?\nAnswer: -1687826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 4\/3, -4, -2\/7, -0.04, -2.6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -7 - 5. Let p be 50\/18 - m\/54. Suppose 2*r - 113 = y, -6*r + p*r + y = -169. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 779, 929, 1175, 1517, 1955, 2489?\nAnswer: 3119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 30. Let s(f) be the first derivative of -f**4\/4 + f**3\/3 + 3*f**2\/2 - f + 4. What is the least common multiple of l and s(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*h + 113*h - 39*h - 38*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(48\/(-56)) + 1170 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 2:54 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*k**5*u + 2*k**5 + 215*k**3 - 4*k*u - 88*k - 3*u + 1 wrt k?\nAnswer: 340*k**3*u + 40*k**3 + 1290*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {i: 9, m: 2, j: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -60. Which is greater: -9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39458424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13.22. Let o = i + -0.2223. Round o to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/30)\/((-3)\/75). What is the remainder when 2 is divided by (-18)\/(-14) - c\/(-70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11301 - 2?\nAnswer: -11303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2184, -2157, -2110, -2037, -1932, -1789, -1602, -1365?\n\"Answer: l**3 + 4*l**2 + 8*l - 2197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/80)\/(34\/85)*2\/(-4)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -0.4, -3452?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/21 and -71\/93?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 34*g**2 + 207*g - 65. What is j(-9)?\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j**2 - j. Let o(p) = p**2. Let r(m) = -4*o(m) - x(m). Suppose 17*h - 198 = -5*h. Let i(v) = 2*v + 10 + 5 + h - 24. Give i(r(a)).\nAnswer: 8*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -41235572 divided by -6431?\nAnswer: 6412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.1 (c) 9\/115 (d) 1\/5 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21282, -8, 24 in decreasing order.\nAnswer: 21282, 24, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -412? (a) 34 (b) -0.025 (c) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + -109. Let u(m) = 8*m - 1. Determine u(t).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 25. Suppose -15*y + 82 - 97 = 0. Is x <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -16. Suppose a = -4*m + 3*m + 19. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 667. Let g = u + -354. Let h = -251.9867 + g. Round h to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66\/7? (a) -60 (b) 5\/4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:02 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9666*o**6 + 62*o**2 - 41727349*o**4 + 28*o + 41727349*o**4 wrt o.\nAnswer: -1159920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21267 is divided by 10632.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -794*n**2 + 1832*n**2 + 666*n**5 - 891*n**2 wrt n?\nAnswer: 39960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 19*r**2 + 15*r + 104. Let j be g(20). Suppose -5*m - 13801 = -2*b, -j*m - 3*b - 4809 = 6218. Round m to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74887213\/837 + 89471. Calculate the common denominator of w and -41\/930.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**6\/780 + b**5\/39 - 7*b**4\/39 + 8*b**3\/13 - 11*b**2 + 1. Solve y(d) = 0 for d.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/12 (b) -6 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(-117)*-2*((-11238)\/1020 + 11)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -29. Which is the second biggest value? (a) 0.2 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -130*y + 99 - 358 + 152*y. What is f(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6\/12*10*1 + 2168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**8\/1512 - 2*g**7\/945 - g**6\/135 + 4*g**5\/135 + 65*g**2 - 1. Factor h(s).\nAnswer: 2*s**2*(s - 2)**2*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -28*y**2 - 5*y + 493. Let z(b) = -103*b**2 - 19*b + 1970. What is 15*j(x) - 4*z(x)?\nAnswer: -8*x**2 + x - 485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*n + 5 = 0, 7*f = 2*f - 3*n - 3. What is the nearest to 1\/3 in -3\/4, -0.5, 2\/15, f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = 2*d + 24, i - 22 = d. Suppose 15*x = i*x - 20. Factor -h + x*h + 175*h**2 - 169*h**2 + 3*h**3.\nAnswer: 3*h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2)\/(t*t*t**(-3\/5)))\/(t**(-2\/3)\/t*t**4))\/(((t**(-2\/7)\/t)\/(t**8\/t))\/(t\/(t**(-5)*t*t)*(t*t\/(t**(3\/2)\/t))\/t)) assuming t is positive.\nAnswer: t**(1108\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxe when three letters picked without replacement from exifxiixxeiie.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 + 4*y**2 - y**2)*((y + 0*y - 2*y)*(2 - 1 + 0) + y + 3*y - 2*y) in the form o + u*y + g*y**3 + f*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 990 and 2682?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 - 12*a - 6*a**2 - 4 - 4 - 4 = 0. What is a?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1. Let a(z) = -2*z**2 - z + 2. Calculate a(q) - 2*h(q).\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.4, 3\/4, 18\/25, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 10*k - 4. Determine y(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) - 559\/(-65). Suppose 3*d = 3*g - w, -d = 4*g - 2*d - 12. Sort 3\/8, -2, g in descending order.\nAnswer: g, 3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6\/55 + 4\/55. What is the closest to -3\/7 in h, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40022*s = -40038*s - 128 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -13*n - 5. Let s(p) = 14*p + 5. Let g(q) = -2*s(q) - 3*u(q). Let a(r) = -6*r - 3. Suppose -2*h = -c, -3*h + 3 = -2*c + 1. What is c*g(t) - 7*a(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:43 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 5*p. Let x = 374 + -374. Solve -p = -3*v - b, b + x - 3 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x**2 + 274*x - 198. Calculate the lowest common multiple of 2325 and t(-35).\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = b - 7, 4*b + 44 = -5*g + 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, g: 1, y: 5, l: 6}. Give prob of picking 2 l.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**5 - 496*u**4 + 2876*u**3 - 5216*u**2 + 2832*u = 0.\nAnswer: 0, 1, 2, 3, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 24 + 22 + 24*d**2 - 13*d + 36 + 657*d**3 - 656*d**3. What are the prime factors of m(-24)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112212021222210 - -11?\nAnswer: -112212021222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*d + 36, -3*q = d - 5*q - 12. Let z be (4\/9)\/(8\/d). Let a = 0.1 - -0.9. What is the third biggest value in z, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4314420 (base 5) to base 3\nAnswer: -10201021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3) + -5 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 14. Let t be u(9). Suppose 3*h - t*j = 34, -j - 3 = -4*j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2980566 and -79\/1655870.\nAnswer: 14902830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let a be 1\/(-5) + 33\/15. Let i(g) be the first derivative of -3 + g**a - 1 + 0*g**2. Calculate i(v(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 23. Suppose 0 = -3*k + 5*k - p. Suppose 5*b = -k*d + 29, -b - 6*d + 2*d = 7. Solve b = y - 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-12)*i*i*i**(-15)*(i**(6\/5))**(-6\/13) assuming i is positive.\nAnswer: i**(-1661\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6784709521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, -248, 2, -24, -5 in increasing order.\nAnswer: -248, -24, -5, 2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c + 3. Let m be l(2). Let w be (-6)\/9*m\/3. Solve 4*n = 2*y + 2, 5 = 2*y + w*y - 5*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-7 - 3) - 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4262*m - 786 = 526*m - 30674 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8888, 8883, 8868, 8837, 8784?\nAnswer: 8703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 3602?\nAnswer: -3607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 4*h + 1, 4*a = -2176*h + 2174*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 101*k**4\/24 + k**3\/2 + 83*k**2. What is the hundreds digit of a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 926?\nAnswer: -925.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 109.1145911 to zero decimal places.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - -59. Suppose r + 0*d + 4 = d, 0 = 2*r + 2*d - 8. Suppose a = -r*a + o. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34463 and 3718.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 192 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 3*i**2 - 3*i - 11. Calculate d(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 1\/4, 0.02, -2\/149?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -15970 and -11728 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (3 - 3) + 0. Sort b, -2, 8, -3 in ascending order.\nAnswer: -3, -2, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + -3 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/6 - (-9798984)\/1026.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1706.\nAnswer: -2\/853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4166, -8363, -12558, -16751, -20942, -25131?\n\"Answer: n**2 - 4200*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -718\/543 - 2\/181. Which is the fourth smallest value? (a) 0.06 (b) s (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 n, and 1 o when four letters picked without replacement from {j: 1, o: 2, r: 1, n: 8, l: 2, u: 3}.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.97 - 1.87. What is the nearest to 7 in n, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 10. Let w = a + 0. Suppose -5*c = -6*f + 8*f - 20, 11 = -2*c + 3*f. Solve c*j = -13 + w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5247 divided by -477?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 112200020 (base 3) in base 2?\nAnswer: 10100111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h - 4*y, -h + 4*y + 20 = h. Let v(r) = 10*r - 2. What is the units digit of v(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = x - 6, 0 = 3*x - o - 0 - 2. Suppose -3*h + 48 = -x*h. Suppose -5*z + h = -z. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1522894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**2\/2 + 6*j - 14. Let s = -12 + 7. Give z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.7328 - 42.743. Let z = -7 - u. What is z rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 533 = 5*x + 508, 11*x = 5*c + 74 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1862 and -47\/223930.\nAnswer: 4254670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -0.16. Let j = s + 0.6. What is j rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873922.8 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6 + 7 + 6*n - 4*n + 14*n. Is k(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -867 divided by -3.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let z(k) = -3*k. Let r(m) = -10*o(m) + 2*z(m). Let p(u) be the first derivative of 0*u + 112 + 0*u**2 + 13\/3*u**3. Determine p(r(n)).\nAnswer: 208*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 5. Suppose -2*u = w + 10. Let z be 5\/(-3) + u\/(-12). Which is smaller: -3\/11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 13 + 1 - (79 - (28 - -62)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114307967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-61545)\/(-60))\/(2\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {o: 1, x: 1, g: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -2, 2933.\nAnswer: -2, 74, 2933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1437.51193 - -1436.09. Let k = -1.42 - s. What is k rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {r: 5, i: 5, n: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 - -249. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/32 and 113\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 35884802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v - 21. Suppose 3*c - v = 2*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 2. Let h(l) = -5*l**2. Let u(s) = -s**2. Let j(g) = -h(g) + 4*u(g). Suppose 181*q + 2747 - 2566 = 0. What is q*y(f) + 2*j(f)?\nAnswer: 4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 v when four letters picked without replacement from {v: 3, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 1107 = 4437. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*55\/11*-6*(-2)\/10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 522335237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 a factor of 92926728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -31*p**7\/7 + p**5\/10 + 11*p**4\/3 + 7*p + 17. Find the third derivative of x(y) wrt y.\nAnswer: -11160*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 180 = -3*u - 21*h, -2*u + 146 = -h. Calculate the remainder when 548 is divided by u.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*h - 52 = 2*h, -2*h = 3*f + 171. Let x = 106 + f. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9086 and 18.\nAnswer: 81774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -631 (base 11) in base 16?\nAnswer: -2f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 - -105. Let w(f) be the second derivative of 0 + 0*f**u - 2*f - 1\/48*f**4 - 1\/80*f**5 + 0*f**3. Let w(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -1 + 3 + 199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:59 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2494.5 to the nearest ten.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 842*i - 838*i, -31 = -3*q + i. Solve 0 = -3*x + 5*j - 25, q*x = 15*x + 2*j - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1060067 + -7?\nAnswer: 1060060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + -2 + (sqrt(2) - (sqrt(2) - sqrt(144)\/sqrt(8))) + 3 + -1)*1.\nAnswer: 4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 69*x**2 + x - 1. Let j be w(1). Let o = j + -64. What is the common denominator of (-72)\/(-1215) + (-4)\/o and 145\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1227119 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.2 - -29.94. Let r = -0.66 - o. Let l = -0.4 - r. What is the fourth biggest value in -3\/8, -4, l, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 71. Give d(6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 9:32 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18410, 18433, 18470, 18521?\n\"Answer: 7*r**2 + 2*r + 18401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92, -183, -276, -371?\n\"Answer: -x**2 - 88*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2485, -5, -0.28, -2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36\/767 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - n - 14. Let y be a(4). Solve y*x + 36 = 32*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1948*h + 33110. Calculate a(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-11 - -2) + 8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.7. Let d = -1 + 1. Which is the closest to -0.1? (a) f (b) d (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21d - -38d85?\nAnswer: 38b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 382 - 382 + 8*i + (6*i - 3*i - 2*i)*(4 - 4 - 2) as c*i + s and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2277030158?\nAnswer: 2, 13, 87578083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-15)*(-10)\/8. Let n(o) be the first derivative of r*o**2 + 1\/9*o**3 + 0*o - 2. Factor n(s).\nAnswer: s*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytt. What is prob of sequence yt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**3\/2 - 3*d**2\/4 - 7. Find c such that t(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 357011263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*p)*(-p - 2*p + 2*p)*(4*p + p - 4*p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.694 rounded to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655525?\nAnswer: 5, 13, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + (2*sqrt(180) - sqrt(180)))*1)\/(sqrt(40)\/sqrt(4)*4 - sqrt(10)) + -4)**2*1.\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 928867000 to the nearest one million.\nAnswer: 929000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 2790\/(-162) - 20\/90?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000071593271 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1663 + 1069 + 4681 - 73)*(-5*w**4 + 0*w**4 + 2*w**4 + (w**2 + 4*w**2 - 3*w**2)*(-2*w**2 - w**2 + 2*w**2)).\nAnswer: -36700*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 14. Suppose -3*c - 60 = -8*c. What is the remainder when 10 is divided by n(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h = 37*h + 28. Let j(l) = l**2 + 3*l + 3. Let d be j(-6). Solve 2*k - 3*k = h, -d = 3*u + 3*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0 = 5*o - 360, 3*o + 139 = 2*g. Calculate the remainder when g is divided by -1 + 0 - (-26 + 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 956532486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27719*f**2*h*o**2 - f**2*o**3 + 203*f**2*o + 3*f**2 - 4*f*h*o**3 + 2*o**3 wrt h?\nAnswer: -27719*f**2*o**2 - 4*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/12 + -4*(-62)\/120.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06317 - -0.0622154. What is t rounded to 5 decimal places?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17221063 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3777 and 2.4?\nAnswer: -9064.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = -7. Calculate the remainder when 21 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z - 7. Let q be m(-6). Suppose -3*a = 3*t - a - q, 0 = 5*t + a - 36. Calculate the smallest common multiple of t and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let a(m) = -148*m + 367*m - 157*m + 15 - 42*m. Calculate c(a(x)).\nAnswer: -20*x - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -226, -238, -250, -262, -274?\n\"Answer: -12*y - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 866907, 1733276, 2599645?\nAnswer: 3466014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 - (-32 + 18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/5 and 58\/18 + (-11 - -8).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000030414 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiii when four letters picked without replacement from {u: 10, i: 10}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 112. What is the closest to -2 in 2\/25, -4, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 4*m + 0*m - 2*m**2 + 1 + m**2. Let v be c(-2). Let a be 0\/(0 + -3 - -1). Sort v, 5, a.\nAnswer: v, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -1 + 1 + 25 + -44 + 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 68*u = 72*u - 56, -3*k = -3*u - 24. Let l(c) = c - 13. What is l(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -188*n**2 + 0 + 0*n - 163\/24*n**4 - 1\/6*n**3 + 28\/15*n**5. Find the second derivative of l(w) wrt w.\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 3, o: 1, b: 6, p: 2, d: 2}. What is prob of picking 1 r, 1 i, and 2 d?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/i**3)\/(i\/(i*((i**(-1)\/i)\/i)\/i))**4 assuming i is positive.\nAnswer: i**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 42 = b, 4*f + 62423 = -5*b + 62453 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 51, 64, 73?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3004\/61 = 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -7.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 2*d**7\/7 - 11*d**5\/5 - d**3 - 19*d + 29. What is the third derivative of j(i) wrt i?\nAnswer: 240*i**3 - 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2728 is divided by 678.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 10:04 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 12*d + 9. Let r be p(13). Let x be (-205)\/45 + (0 - r). Are -2 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 83, 188, 335, 524, 755, 1028?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97817 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9494254 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/28)\/(1\/(266\/(-456)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35.589 and -0.7.\nAnswer: 24.9123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172044 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1464 and 48.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 79 - 55 = -3*k, -78*j - 83*j - k = -158*j - 50 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (154\/8 - 0) + (-18)\/72. Suppose -16*h - 3 = -c*h. Let y be -1*(20\/8)\/(h\/(-2)). Solve -4*r + q = 6*q + 15, q = y*r - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -3, -24546, -2, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423238.\nAnswer: 2, 439, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:06 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-30)*(-3)\/(-4)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 1 (c) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/3 - (12 + -17). Put 2.35, 3, r in ascending order.\nAnswer: r, 2.35, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285503 - -1.4?\nAnswer: 285504.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 332 - 330. Which is the third smallest value? (a) y (b) -0.3 (c) -0.1 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -401\/7 - -57. Let o = 241\/4 + -60. Which is the closest to o? (a) -5 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148.2 - -11698425.9.\nAnswer: 11698277.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**2 + 17*s**4 - 65*s**4 - 40 + 4*s**2 - 6 - 7 wrt s?\nAnswer: -192*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**2\/2 - 3*k - 2. Let h be g(3). Let v(n) = n**2 + 57. Is v(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72? (a) 0.5 (b) -4.07 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.96 - 17.5714717705.\nAnswer: -14.6114717705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 445111 = -o - 3293109, -q = -1. Round o to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a + 50. Let u be k(5). Suppose -3*s + 667 = u*v, -4*s - 2*v = 39 - 933. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 - -215607?\nAnswer: 215641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 11:44 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85747 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 721 divide 328776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3. Let v = 0 - -0.1. Let k = 7 - 7.4. What is the second smallest value in k, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(7\/2)\/(c*c*c**(1\/63)) assuming c is positive.\nAnswer: c**(187\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 3*b - 4. Let q = 8 + -5. Let s be m(q). What is the greatest common divisor of 55 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -463c (base 15) to base 4.\nAnswer: -3220323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 4:15 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8 = 3*c - 9, -10 = 5*g. Differentiate -6*k**c + k**3 + 3 + k**3 wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924505.\nAnswer: 5, 184901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/8)\/((-42)\/9804). Let u = d + -117. Which is the closest to -0.2? (a) -0.2 (b) -0.9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*j + 6 - 20, -4*d + j + 8 = 0. What is the second derivative of -37*m**3 + 24*m**d + 11*m - 3*m**2 - 1 - 1 wrt m?\nAnswer: -78*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90d (base 15) to base 16.\nAnswer: -7f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2 + (4*sqrt(200) + sqrt(200))**2*-5)*2 + 1).\nAnswer: -249975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 604 and 34579?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by 1199474.\nAnswer: -47\/599737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12029.5 - 12007. Are 2\/9 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w - 11. Let b(z) = 5*z + 11. Let p(l) = -5*b(l) - 4*k(l). Let u(h) = -h**3 - 3*h**2 + 6*h + 2. Let d be u(-4). Give p(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1395513 and -366463.\nAnswer: -1761976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385713.\nAnswer: 3, 17, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/(a*a*a**(2\/17)*a)*(a*a**(-13))\/a**(-2\/7))**(-29) assuming a is positive.\nAnswer: a**(71891\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -80 * -31\nAnswer: 2480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/7080 and 47\/87936.\nAnswer: 25941120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17834335\/3 or -5944777?\nAnswer: -5944777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1485790 (base 11) to base 10.\nAnswer: -2540494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101567 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 1. Let p = 17 + -18. Let t(g) = -g**2 + 5*g - 1. Let u(d) = p*t(d) - w(d). Let k be u(4). Solve -21 = j + 6*o - o, -4*o - 16 = k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24*u**2 - 172*u - 19. Determine q(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**4 + 0*d**4 + 4*d**4)*(3 + d - 3) - 5*d**5 - 9*d + 9*d - 2443*d**2 + 63*d**5 + 2443*d**2.\nAnswer: 66*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 621\/20*g**5 - 3 - 15\/4*g**3 + 81\/8*g**6 - 9*g**2 + 417\/16*g**4 + 3*g. Factor t(j).\nAnswer: 3*(j + 1)**3*(9*j - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -18, 2, 6, -3 in increasing order.\nAnswer: -18, -3, 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 2 = 3*i - 4*x, -3*i + 3*x + 9 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2432 (base 8) in base 9?\nAnswer: -1711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -0.3, -5, 4, -2\/11, 325, -1.74?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658.1179 centimeters to meters.\nAnswer: 6.581179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - z = 13, 3*z + 21 = -6*o + 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 6*w**2 + 12*w**2 + 81.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 916 = 795 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 300*r**4 - 192. Let m(w) = 75*w**4 - 48. Let l(s) = 26*m(s) - 6*u(s). What is the derivative of l(p) wrt p?\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43914.\nAnswer: 2, 3, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + q**2 - 17*q**2 in the form k + c*q**2 + n*q and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*c**2 - 1 - 16*c - c**2 + 66*c**2 - 2*c as m*c + v*c**2 + l and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.26 + -16.1. Let s = z - 1.46. Let b = 0.2 - 0.7. What is the second smallest value in -1, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1331 divide 29207897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 13. Let t be -12*((-3)\/v)\/1. Let u be 6\/(-27) - 2\/(-9). Solve -5*h - 2*s + 25 = u, -t*s = -3*h - 2*s - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1208*k**5*u**3 + 13*k**5*u + 7657*k*u**3 wrt k?\nAnswer: -24160*k**3*u**3 + 260*k**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1155 = 3*s. Let q be 4934*(s\/(-2) + -2). Suppose -4*i + i + 1679991 = 3*d, d = 3*i + q. What is d rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2356 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 - 901\/6. What is the closest to -1 in 1\/10, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -0.1 (b) 0 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 4. Let s(l) = 4*l + 5. Let a(j) = -5*m(j) - 4*s(j). Let h(r) = r**2 - 3*r + 3*r. Determine a(h(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -254*t + 523*t - 42*t + 351*t + 527*t. Let x(k) = -2*k. Give x(l(b)).\nAnswer: -2210*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 10, -3*i = -0*y + 3*y - 6. Let o be (-3)\/(y\/(-3)) - 0. Let u(j) = -3*j**3 - 5*j**2 - 2*j + 7. List the prime factors of u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29063.97 grams to kilograms.\nAnswer: 29.06397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67163, 67184, 67205, 67226, 67247?\nAnswer: 67268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a = 63*a - 1274 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13969058?\nAnswer: 2, 47, 173, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7358830400 rounded to the nearest 1000000?\nAnswer: 7359000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/89183 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + 3*z**2 - 6*z**2 + (6*z + 3*z + z)*(-22*z - 9*z + 6*z) + (2 - z + 3*z - 4*z)*(2*z - z - 2*z).\nAnswer: -249*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 - 11646*x - 46583\/4.\nAnswer: -(x + 1)*(x + 46583)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 360750?\nAnswer: 1\/360750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -2 - (-1 + 50). Let t = q + 82. Let f = -2 + 5. Calculate the greatest common factor of t and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.02, 0.03, -1, 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 14*s - 571. Determine b(42).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 5. Suppose -3*j = -k - 4 - 8, 0 = 3*j - 12. Let z be w(k). What is the tens digit of (-28)\/z*5\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 29.4. Let f = 1.9 - g. Suppose -8 + 33 = -5*o. Put o, f, 2 in descending order.\nAnswer: 2, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.690884 - 0.5.\nAnswer: 0.190884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-47)\/2336 + 1*(-9)\/(-24)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -5, 3, 2\/5, -816 in ascending order.\nAnswer: -816, -6, -5, -3, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -122.98 and -3617?\nAnswer: 444818.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3200 divided by -48.\nAnswer: -200\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3030, -10019, -21666, -37971, -58934?\n\"Answer: -2329*x**2 - 2*x - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48749440 and 705584?\nAnswer: 536243840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -121\/2. Let n = 1.8 - 14.8. Let x = n + 14. Which is the fourth smallest value? (a) 0.2 (b) x (c) -3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9204*s - 72095 = -16920 + 52853 + 30032 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 18. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178439 is divided by 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*w = -8, -a - w + 5 = -1. Let z be (4\/(-3))\/(a\/(-3)). Suppose -27 = -i + 5*s - 0*s, z*i - 3*s = 19. Solve 4 = i*t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/4 - 1321*f**2 - 318831*f\/4 - 297711 = 0.\nAnswer: -5223, -57, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**3 + 60*q**2 + 125*q + 60. Let w(b) = -14*b**3 - 240*b**2 - 501*b - 239. Let l(i) = -9*a(i) - 2*w(i). Determine y so that l(y) = 0.\nAnswer: -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g = 16*g - 3*c + 1, 2*g + 2 = 2*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 13 (c) 516 (d) -1 (e) 9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxg when three letters picked without replacement from xgx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let s be (9\/(-6))\/((-1)\/z). Suppose s*u - 37 = 2. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20680334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 56.1. Let z = -2.9 - c. What is the nearest to z in -2, 1\/5, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -83?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 109 (base 14) to base 16\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 323224 - 5?\nAnswer: 323215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 65.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.3 (c) -28\/5 (d) -4\/2297\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -o + 20 - 6, 0 = -4*z + 16. Suppose 12 = w + w. Find the third derivative of -8*p**2 - o*p**6 - 2*p**w - 2*p**2 wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 189425823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**4*d**4)\/((d\/(d**(-1)\/d*d))\/d)**(-26) assuming d is positive.\nAnswer: d**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6275 and 1?\nAnswer: 6275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by -6?\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.089? (a) -0.1 (b) 0.02122 (c) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m - 2*d + 4, m + 10 = 2*d. Put -3, 3, m in increasing order.\nAnswer: -3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a*a**(22\/5))\/a*a*a))\/(a\/((a*a**(-30)\/a)\/a))*a**(-41)*a*a*a\/(a**(4\/7)\/a)*a*a)**(-49) assuming a is positive.\nAnswer: a**(18123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.874*258.\nAnswer: -11319.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 1\/168*f**7 + 0 - 1\/48*f**4 - 1\/40*f**6 - 6*f + 3\/80*f**5 + 0*f**3 + 0*f**2. Factor i(z).\nAnswer: z**2*(z - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 52*x + 5. Let m(i) = -i**3 - 26*i - 2. Calculate 2*a(j) + 5*m(j).\nAnswer: -3*j**3 - 26*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-14))\/(7800\/1820)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -36 (c) -3\/4 (d) 4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -23. What is the remainder when 101 is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = -3*u + 24*b + 6179, -b - 5 = 0. 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: List the prime factors of 413594.\nAnswer: 2, 227, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -40. Let b = k + -26.0000018. Round b to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(684) + 1 + 4)**2 + sqrt(684) + (sqrt(684) + sqrt(684) + -1 + sqrt(684))**2*1) + 1*(sqrt(1216) + 1*(sqrt(1216)*-3)**2) + -3.\nAnswer: 188*sqrt(19) + 52137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*1 + (-20)\/(-3). Suppose n - 3325 = 4*z, z = m*n - n - 836. Let h = 3297\/4 + z. Find the common denominator of -149\/6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 27. Let n(w) = 78*w + 2423. Let b be n(-31). Let p = 0 - -4. Solve -41 + b = 4*a + p*f, -f = 4*a + u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 4. Suppose 2*y - 2*a = -8, 0*y - 8 = -y + 4*a. Let s be k(y). What is the remainder when 8 is divided by s\/(4\/(-8)*-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1121, 2998 in ascending order.\nAnswer: -1121, 4, 2998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 3:16 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-4\/3)*d*d)\/(d\/(d\/d**(3\/4)*d*d)*d) assuming d is positive.\nAnswer: d**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 5. Let j be v(3). Let o be (3 + -2 - j) + 0. What are the prime factors of (o + 2)*5*2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65177.51839 + -65177. Let d = l + 160.34361. Let c = d - 161. What is c rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23941, -33719, -43499, -53281, -63065, -72851?\nAnswer: -82639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3667750008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 14*x = -36*x + 11*x. Put 2, x, -310 in ascending order.\nAnswer: -310, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110279.853s to days.\nAnswer: 1.2763871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -1\/132*o**4 + 1\/330*o**5 + 0 + 0*o - 2\/33*o**3 + 4*o**2. Factor y(i).\nAnswer: 2*(i - 2)*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2978 is divided by 499.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 534 = -4*l. Suppose -n + 361 = l. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583634 is divided by 193.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/(4*-1*sqrt(11)))\/(-1*sqrt(1089) + (sqrt(216)\/sqrt(4))\/sqrt(6)).\nAnswer: sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -277, -299, -299, -265, -185, -47?\n\"Answer: 2*m**3 - m**2 - 33*m - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*i - 18 = 6, -4*q + 43 = -i. Let f be -3 + 4 - -20 - 1. What is the greatest common factor of f and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105*b*u*w**2 - 8242*b*w + 2*u*w**2 + 92*u*w - 3*u + 23*w**2 + 1 wrt b.\nAnswer: 105*u*w**2 - 8242*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1)*-4 + -2*sqrt(39)\/sqrt(3) + 1.\nAnswer: -6*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021625 rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3229*y = 3346*y - 234. Let 1\/7*c**y - c + 10\/7 = 0. Calculate c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(12\/54). Suppose 5*s = -4*l - 2, -s + 7 = -2*s - f*l. Let t = -28 - -30. What is the greatest common divisor of t and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/9, -15, 0 in increasing order.\nAnswer: -15, -0.3, 0, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2, -6, 41, 33, 10 in ascending order.\nAnswer: -6, -3, 2, 4, 10, 33, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -275 or 91289?\nAnswer: 91289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 4:11 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-175*x + 349*x - 178*x)*(-2*x**3 + 4*x**3 - 4*x**3) in the form k + r*x**3 + c*x**2 + l*x + j*x**4 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023511 rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*d = -33*d - 550 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -23, 165, 553, 1213, 2217?\nAnswer: 3637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*s - 0. Suppose -5*j - 3*k - 315 + 1114 = 0, -s*k - 491 = -3*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h - 195 + 195)*(2 - 3 - 3).\nAnswer: -60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 28. Solve -4*v = -3*v - s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1201126)\/93)\/((-4)\/30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 416\/10 - 8\/(-20). What is the greatest common factor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39019277 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 4:07 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -2359.8?\nAnswer: 235.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4626.76ml?\nAnswer: 4.62676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4757*z - 4. Let k be t(2). Let h = 16417 + k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-10)\/15)\/((-6)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 10. Let d = r - -20. Let k be 210\/20 + ((-6)\/4)\/(-3). Is d at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3 - 23, 2*g - 4*a = 26. Suppose 4*p = 3*u + p - 26706, 2*u + g*p - 17794 = 0. What is u rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 218*n - 1531. What is y(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 1\/3, 6\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4160*j**2 - 7499*j**2 - 12483*j**2.\nAnswer: -24142*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180019 - 180019 + 25881*r.\nAnswer: 25881*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1158 = -5*q + 737. List the prime factors of q.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16071 - 92616. Is d\/(-91) + 3 + (-82)\/26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**5*k**(-3)*(k*k\/k**(-2\/17))\/k**(-1)*((k\/(k\/(k\/(k**6*k))*k))\/((k**(-5)\/k)\/k))**(-4\/17) assuming k is positive.\nAnswer: k**(104\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/2 - (-12)\/((-2016)\/(-1068)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k*s*v + 134*k*s - 6*k*v - 26*s*v + 2233*s - 16*v wrt v?\nAnswer: 3*k*s - 6*k - 26*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 2) + 253\/11. What is the highest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001020 - 200122212?\nAnswer: -122121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u - 4. Let b(d) = -d**2 - 6*d + 1. What is the remainder when q(-3) is divided by b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 15. Let q be u(7). Suppose -3*y + 6 = -q. Solve -5*f = -y*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*q - 6*s, -q + 18 = -4*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143.007162 - 143. What is s rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -3. Let q(p) = -p**2 + 8*p + 17. Let h be q(6). Let g = 29 - h. Sort g, 2, z in decreasing order.\nAnswer: 2, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/17, -2\/5, -2\/15, -3\/2, 20 in decreasing order.\nAnswer: 20, 3\/17, -2\/15, -2\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*h + 3*v, 5*h + 17*v = v + 55 + 101 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128.11 - 127.1153. Round m to 2 decimal places.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 8:03 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1708)\/(-732)*18\/98\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwvvhg. What is prob of picking 1 v and 1 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {z: 1, a: 1, k: 5, o: 3, f: 2}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**13*b**(-3\/10)*b assuming b is positive.\nAnswer: b**(137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-2 + 4))\/((-5)\/(-20)). Let f(t) = 8*t - 150. Calculate the least common multiple of f(i) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Suppose u + 0 - y = 0. Suppose 0 = u*h - 30 - 26. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24806111 is divided by 1109.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h - 13. Suppose 6 = -3*t - 3*j, 2*t + 4 = -j - 0*j. Let k(a) = 2*a - 6. What is t*i(q) + 5*k(q)?\nAnswer: 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/236 and 47\/12.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -587 - -1063. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 644923673 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 19*r**6 + 219*r**5\/5 + 24*r**4 - 3*r**3 - 441. Factor o(f).\nAnswer: 3*f**2*(f + 1)**2*(38*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -690 - 193 + 156 - 469*d**3 wrt d?\nAnswer: -1407*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millisecond in microseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-8)\/80)\/(7\/14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-16)\/(-704)*25169903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 704\nAnswer: 5\/704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 104*h**5 - 1356*h**4 + 2444*h**3 - 1236*h**2 + 44*h = 0.\nAnswer: 0, 1\/26, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2736 - -1827. What is the remainder when 1*(b\/(-21) + (-4)\/14) is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*a = 4*a + 10, 4*c + 3*a = 8. Suppose -3*d = 2*q - c, -5*q = 2*d + 3*d - 10. Find g such that 1\/3*g + g**3 - 1\/3*g**q - g**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 - 110 = -4*t - 207 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 504 + -165. List the prime factors of h.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362, -721, -1080?\nAnswer: -1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1001001101101001010 (base 2) to base 7\nAnswer: -2365112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1624, -3262, -4926, -6628, -8380, -10194?\nAnswer: -12082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 + -11?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11839 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00194841007 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -6) + 1 + 10 + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (-5 + sqrt(539) + 3 + sqrt(539))) + 3*sqrt(539)*-5 - ((sqrt(539) - 3*4*sqrt(539)) + (sqrt(539) - (sqrt(539) - sqrt(539)*3)) + 0))**2.\nAnswer: -224*sqrt(11) + 34500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11590 - 4*z - 11370 + 22960.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, z: 1, g: 2, o: 1, j: 2}. Give prob of picking 2 g, 1 w, and 1 z.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*2)\/((-8)\/(-580)). List the prime factors of r\/(-12)*60\/(-10).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and -18.204?\nAnswer: 600.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1702 + -700. Which is smaller: 0.2 or y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -4*w - 3\/10*w**5 + 0*w**3 + 0*w**4 + 0 + w**2. What is the first derivative of y(p) wrt p?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394458854 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: Which is the nearest to 0.1? (a) -4 (b) 0 (c) -14\/23 (d) -2\/21 (e) -19\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1798 + 33963. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178694 and 5703?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -24. Let t = -4 - b. Suppose 0 = -4*m - 3*k + t, 1 + 4 = m + k. Solve -3*h = -m*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20427 is divided by 4825.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909?\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -1728*d**2 - 396*d**4 + 649*d**3 + 615*d**3 + 2*d**5 - 6*d**5 + 204*d**4 = 0. Calculate d.\nAnswer: -54, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2044 - -151?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-9\/8)*a**(-9) assuming a is positive.\nAnswer: a**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h - h + 4*h - h**2 - 6 - 4*h. Let k be w(-6). What is the highest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**1)\/q)\/q*q)\/q*q*q**5*q)\/(q*q**(1\/5)*q*q*q**8*q)*(q*q**0)**(15\/7)*(q**(1\/3)*q)**(-14) assuming q is positive.\nAnswer: q**(-2491\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 10850, -3 in increasing order.\nAnswer: -3, 3, 13, 10850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + b**4 + 2*b**4 + (-b + 0*b - b - 1 + 2*b + 1 + (1 - b - 1)*(-4 + 3 + 0))*(18*b**3 + 35*b**3 - 19*b**3).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-1*13178 - 2). Suppose -t = 5*r - 0*r. Let m = -1485 - r. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 8*y**2 + 11*y + 12. Let c be i(9). Suppose 5*u = -5*m - c, u - 7 + 1 = 3*m. What is the tens digit of 4 + m - -18 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m. Let q(t) = 4*t. Let x = 29 + -24. What is x*q(z) + 4*b(z)?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*t - 196*t + 87*t - 208*t - 43*t.\nAnswer: -580*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 2*y**2 + 5*y + 10. What is m(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 7, c: 9, e: 1}. What is prob of picking 1 c and 2 f?\nAnswer: 63\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-12 - -20) + (8 - (13 + 2)) + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 758 = 26*s - 129 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-786)\/12054 - 690\/(-16905)\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 100102419?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -7*o - 68 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 - 3*l - 4. Let a be (-2)\/11 + 26\/22. Let x be ((-4)\/8*4)\/a. What are the prime factors of s(x)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:17 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1627 - -1633. Solve -2*r + 0*r = -d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 75*k**3 - 2*k**2 - 5*k + 6. Calculate the lowest common multiple of y(1) and 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 6\/16717 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 9*p**2 + 17*p + 7. Suppose 5*g + 153*j = 150*j + 18, 3*j = 2*g - 3. What is d(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63532709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3, 12764, -3 in descending order.\nAnswer: 12764, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 6:31 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 3\/(-6)*2. Suppose 4*x = 19 + 1. Sort x, w, 2 in decreasing order.\nAnswer: x, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229.2 times 0.1\nAnswer: 22.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 127*-5054\nAnswer: -641858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -60*o - 15. Let l(c) = 120*c - 25*c - 14*c - 29*c + 6 - 28*c. Determine 5*a(t) + 12*l(t).\nAnswer: -12*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72280 and 398652.\nAnswer: 51824760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1952 not equal to -0.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -51. Solve 13 = -s*q - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -504.49 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*l**3 - 61*l + 61*l)*(5 - 26 + 1 + 20 + 266*l) to the form d*l**4 + v*l**2 + r*l**3 + a + t*l and give d.\nAnswer: 7182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1619762 + 198182 = 68*x - 30296. List the prime factors of x.\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-296)\/(-16))\/(0\/48 - (-1)\/(-2))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -16 + 4 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 + 213*w + 3051. What are the prime factors of p(-104)?\nAnswer: 73, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/10 and -1\/484498.\nAnswer: 2422490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 - 3*u - 48. Determine j(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854765 is divided by 2121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6.03. Let z = n + -0.0301. Round z to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-4 + 9 - -16) + 5 + -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 237 - 69?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 21\/31 (b) 0.4 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 26*p**2 - 34*p + 30. Let z be w(-24). Let q be 10\/65 - (z\/39)\/1. What is the greatest common divisor of 10 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 18*s**2 - 10*s + 9. Let c be g(19). Calculate the highest common factor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6) - 292\/(-8). Suppose 2*w - v = 3*w. Let q be w\/27 - (2 + (-8)\/6). Which is smaller: q or -10\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*b - 1232 + 1412 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 3*k + 17. What is the remainder when i(5) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 + 13*j**2 - 4*j + 3. Suppose -2*w + 56*k - 55*k = -3, 5*k = 25. Calculate c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*y + 76*y + 120 = 0. Let p(b) = -50*b + 400. Let z be p(y). Solve 3*f - 9 = -d, 4*d - 2*f = -z*f - 20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11145553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2557 - 2?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j - 18*j + 40 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 - -2. Let t = -262 - -263. Let l = 47 + -379\/8. Which is the nearest to t? (a) l (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1043*k - 768 + 1966*k - 3*k**2 - 1019*k = 0. Calculate k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - 1. Suppose -4*v - 4 = -4*g + 4, -1 = q*v + g. Which is bigger: v or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 2604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5897 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 92*p - 303. Let t(s) = -95*s - 300. Let x(g) = -5*j(g) + 4*t(g). Find y, given that x(y) = 0.\nAnswer: -9, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-6)\/(-33))\/((119394\/(-726))\/67)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**3 + l. Let t be k(-1). Solve -o + 3*o - 5*j - 11 = 0, -4*j = -t*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and 716872377?\nAnswer: 716872377.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = 3*k, -5*k + 4 = -2*a - 10. Suppose -3*r = x + 6, r + k*x = -4*r - 10. What are the prime factors of (r\/(-6))\/(2\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let q be s(1). Suppose 0*a + 28 = -4*o - a, -3*o - 36 = -3*a. Sort q, o, -1\/3 in ascending order.\nAnswer: o, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*((-5*z + 4*z - z)*(3 - 2 + 1) + 2*z - 4*z + z - 28 + 28 - 8*z - z + 0*z - 2*z).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 16*o. Let i(p) = -88*p. Give -5*i(q) - 28*m(q).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121590501 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5)\/((-300)\/(-136)) - (-19)\/57.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1175 + -1170. Solve -d*g + 20 = 3*v, -8 + 4 = 4*v - g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54053.081318 + -54053. Round g to 4 decimal places.\nAnswer: 0.0813","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -l, -m = 2*l - 6*m - 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let y(l) = l**2 - 3*l. Let i(n) = 15*r(n) + 5*y(n). Suppose g = 4*u + 14, -2*g + 11 = -5*u - 8. Let f(h) = 1 + 2*h**g - 1. Determine f(i(x)).\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0 - -2)*(-1)\/1. Let k be ((-441)\/(-6) - f)*26. Let h = 922 + k. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 106659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -18*z - 12. Let m be ((-1572)\/(-68) - 3) + 4\/(-34). Suppose -21*h + h = -m. Let i(o) = o + 1. Calculate h*p(y) + 15*i(y).\nAnswer: -3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5383116 * -12.\nAnswer: 64597392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/11)\/(5\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (198\/30 + -7)*-5. Let j(w) = -w**3 - 5*w**2 - 2*w. Let i(z) = -3*z**3 - 14*z**2 - 5*z. Let q(g) = 4*i(g) - 11*j(g). What is q(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2020*q = -764*q + 16569 - 4009 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1578*h**2 + 11*h + 5. Let y = 209 + -205. Is b(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 1196.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 39*z**3 - 10191672*z - 83*z**3 - 3 + 10191671*z in the form v + o*z**3 + g*z**2 + a*z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6354)\/(-34) - -1 - (-2)\/17?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*b + 64*b = -594. What is the greatest common factor of b and 825?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-24 - (-52 + 17))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 - 99. Calculate the highest common divisor of 45 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 7*f**5\/6 - 9671*f**2. Let w(v) = -127*v. What is w(t(i))?\nAnswer: -8890*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4121342021 (base 5) to base 7\nAnswer: -131201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*o + 6 = 184, 5*o - 265 = -3*h. Solve 0 = -5*i - h + 70 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -r - 48. Solve 0 = -7*g + 5*g + r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -21 (c) 464\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 47*l**3 + 4*l**2 - 2*l - 3. Suppose -51*c + 45*c = -12. What is the units digit of z(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 6:00 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199144, -199141, -199138, -199135, -199132, -199129?\nAnswer: -199126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 10}. Give prob of picking 2 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 4*a + 4. Let m be i(-4). Suppose -1 - 7 = -m*b. What is the lowest common multiple of (2\/(-2))\/(b\/(-10)) and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 124 = 22. Let y(c) = -3*c**3 - 11*c**2 - 20*c + 3. What is the hundreds digit of y(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9 + (-274)\/(-6). Suppose -2*f = -7*f + o. Suppose -88 = 5*l - f*l. What is the smallest common multiple of l and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 2*r. Let o(c) = -c**3 + 2*c**2 + 3*c. Let h(p) = 4*p + 17. Let s be h(-3). Give s*l(n) - 3*o(n).\nAnswer: 3*n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 6*n - 18. Let y(q) = 5 + n*q + 0*q**2 + q + 3*q**2 - 4*q**2. Let k be y(10). Put 0, k, -5 in decreasing order.\nAnswer: k, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17242, -68943, -155104, -275725?\n\"Answer: -17230*v**2 - 11*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**2. Let n(r) = -5415538*r**2. Give n(d(k)).\nAnswer: -194959368*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8278 - 3784. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 36*n - 126 = 0, -26*o + 6061*n - 6056*n = -214 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let r(d) = -6*d. Let h(f) = 21*f. Let g(x) = 2*x. Let c(m) = -49*g(m) + 5*h(m). Let o(j) = 5*c(j) + 6*r(j). What is s(o(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 11225878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/20916 and 103\/30?\nAnswer: 104580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 11. Let i be v(6). Is i - (-1 + -3 - 2826) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.3, 1, -3, -2165, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 457 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**9\/5040 - m**5\/60 - m**4\/12 - 13*m. Let r(i) be the third derivative of t(i). Find the first derivative of r(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-597)\/33 + 18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 705*d**2 + 51*d + 297. What is the hundreds digit of x(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57814457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 11.21, -4 in ascending order.\nAnswer: -4, 0.05, 11.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3910 = -35*v + 4015 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 350*c**2 + 5848*c - 2924. What is i(-366)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 766459 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 closest to -6 in -0.4, -7, -264, -4\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 12 - 18)*(12 + 29 - 4)*(9 - 4 - 7 + 2*f) in the form g + a*f and give g.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - m - 11 - 8 = 0, 0 = 2*m + 6. What is the second derivative of 2*d - r*d + 5*d**4 - 2*d wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -477*h - 191*h**3 - 323*h + 6 - 93*h**3 - 445*h - 171*h**3 wrt h?\nAnswer: -2730*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188.7425 - -186.5. Round v to two dps.\nAnswer: -2.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**4\/12 + s**3\/2 - 2*s**2 - s. What are the prime factors of o(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 11310303?\nAnswer: 11310323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-12) - 2\/4. Let l = -3.02 - -0.02. Let g = -1 + -4. What is the nearest to -1 in g, l, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83.4 + -79. Let w = g + 0.1. Suppose 0*i - 2*i - 8 = l, 3*l - 12 = 3*i. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 848, 1274, 1700, 2126?\nAnswer: 2552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 83.2749?\nAnswer: 249.8247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -380 + 511. What is the second derivative of 9*w**2 - w - u*w**5 + 2*w**2 - 11*w**2 + 350*w**5 + 26 wrt w?\nAnswer: 4380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/((q**(2\/3)\/q)\/q))*q*q))**(-23))**(-5)\/((q\/(q\/q**0))\/q*q**(2\/19))**(1\/2) assuming q is positive.\nAnswer: q**(4421\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -376112.75841 to the nearest 100.\nAnswer: -376100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -15. Suppose 3*k - g*b + 16 = 0, -b + 13 = -2*k - 2*b. Is (-362)\/k - (-3)\/(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4465190.432 to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0086977181 rounded to 5 decimal places?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.9 in 0, -4, -6\/67, -2\/7, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2380*f**3*u**2 + 15*f**3 - 3*f*u**2 - 595 with respect to u.\nAnswer: 4760*f**3*u - 6*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -9*b - 45. Suppose 565 = 13*m + b. What is the remainder when m is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**3*b)\/b)\/b**(-1))\/(b**(-1)*b\/(b*b**(1\/6))))**(-46) assuming b is positive.\nAnswer: b**(-713\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15450 - 386468\/25. Is p < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 388*q. Let g(n) = -408*n - 1. Determine 4*g(h) + 3*j(h).\nAnswer: -468*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48422850 is divided by 267.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458864.4 milligrams to kilograms.\nAnswer: 0.4588644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, e: 7, z: 4}. What is prob of picking 2 i?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*o + 801 = 0, 4*d = -5*o + 523 + 136. Solve -66 = -15*s - d for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 196\/21 + ((-14)\/6 - -2). Suppose -q*g + 29 = -25. What is the smallest common multiple of g and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:06 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 86 - 94. Suppose 4*v + 45 = 5*g, -m = 2*g + 3*v + 1. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 3585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 5*s**2 + 5*s - 7. Let c be p(16). Let a be -188829*(1 - (-45)\/(-42)). Let f = c + a. Find the common denominator of f and 29\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 11 - 36. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23862489 is divided by 654.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2263.1 - -0.265894069\nAnswer: -2262.834105931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50 + 47 - 437*a**3 + 17 - 4 - 11 wrt a?\nAnswer: -1311*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -1. Let y = u - 0.1. Let f = 0.5048 + -0.0048. Which is the second smallest value? (a) -1\/4 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psp when three letters picked without replacement from {p: 9, s: 2, o: 6}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*(0 - 2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 672.154t?\nAnswer: 672154000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 1, 2\/3, -5\/907, 1\/693?\nAnswer: -5\/907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**2 + 715*z + 711. What is n(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10767183*m**3 + 6030400 wrt m.\nAnswer: 32301549*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30.522? (a) 13 (b) -1 (c) -5 (d) -1\/7 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/37657 or 0?\nAnswer: -11\/37657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 - 9*d**2 + 5*d + 5*d - 5 = 0. Calculate d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r + 5*l, 6 = -3*r - 3*l + 30. Suppose 4*z + 0*z - r = 0. Suppose -3*n - 2*n + 15 = 0. What is the least common multiple of n and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 2. Let a be ((-6)\/4)\/(q\/12). What is the third derivative of -4*u**5 + 3*u**5 - 2*u**2 + 4*u**a wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 129 + 119 = 0. Let j(v) = 6*v + 24. Determine j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6553487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfiiiifqfffqqqqqq. What is prob of sequence qif?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)*(v\/v**(3\/10))\/v*v*v\/v**(-3\/4)*v*(v\/(v\/(v*v*v\/v**(-4)*v*v)*v))\/v assuming v is positive.\nAnswer: v**(109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = 29*c + 124. Solve -2*d - 3 = -y, -3*d + 3*y = -0*y + c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*q + 353 + 485 - 142*q + 34*q + 51*q in the form z*q + u and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -9)\/((-5)\/(-10)). Suppose -5*h = 16 + b. Let q(d) = d**2 + 8*d + 2. What is q(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k - 6001 = -829*k + 1719 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 equal to -2.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + (-711 - -714) - (1 + -61).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -734, 2, 25 in increasing order.\nAnswer: -734, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (7 + 3) - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*z = -71*z + 15. Is (-33154)\/33*z\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12bcd7 + 1?\nAnswer: -12bcd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -0.1 (c) -0.19 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882500 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13537*m**2 - 17649*m - 2 wrt m.\nAnswer: 27074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.78457ml to litres.\nAnswer: 0.03278457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 3:16 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*c + 8337, -5*r = -15*c + 13*c - 41600. Is r a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:26 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11202 (base 3) to base 12\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 1, l: 1, g: 5, e: 7}. Give prob of picking 1 p and 1 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 + -0.876.\nAnswer: 30.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.003 * 0.0438.\nAnswer: -0.0001314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162087*-5.\nAnswer: -810435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1510 at least as big as -203729\/135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -7*q + 3*q + 13, 9*p - 7 = 5*q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11883473 a multiple of 1193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 14*q**2 - 33*q + 17. Let r be x(16). Put r, -19, -5 in ascending order.\nAnswer: -19, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 662587, 5300646, 17889657, 42405094, 82822431, 143117142?\nAnswer: 227264701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/9 + 15\/13 + (-46)\/299. Let j(z) = 4*z**2 + 4*z - 7. Let f be 16\/(-8) + 5 + -1. Let c(w) = w**2 + w - 2. Determine f*j(s) + r*c(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6.8. Let t = w - 4.2. Sort 2\/15, 3, t.\nAnswer: t, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213 + -10?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 2*g**2 - 4*g - 6. Let k be (-2 - 0)\/(-1 - 0). Suppose k*s - 7*s = -85. Calculate the remainder when v(5) is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -0.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-1\/4)*n)*n*n*n)\/((n*(n**(-1)*n)\/n*n*n)\/n)*n*n*n*n*n*n**(7\/5)*n*n**3)\/(((n*n**5\/n)\/n)\/n**(3\/4)*(n**(-1))**(7\/4)) assuming n is positive.\nAnswer: n**(223\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9322.992m?\nAnswer: 932299.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 143*t**2. Let k(x) = 3*x**2. Determine l(k(p)).\nAnswer: 1287*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 12238*r.\nAnswer: r*(r + 12238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 23 - 12*y**2 + 17900*y**3 - 17901*y**3 + 8 + 15*y. Determine m(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15900, -62259, -139074, -246345, -384072, -552255, -750894?\nAnswer: -979989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let k(y) = -y**2 - 17. Give h(k(a)).\nAnswer: -a**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 + m + 1. Calculate the remainder when a(-1) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 11. Let a be s(-4). Suppose a*f - 115 = -0*f. Suppose 0 = -5*j - 8 + f. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/33 - -1*(-10)\/(-88).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 2*h**3\/3 + 7*h**2\/2 + 10*h + 1. What is the remainder when q(-7) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*x - 108*x + 209*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 0, 1 in decreasing order.\nAnswer: 7, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039239 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b + r - 3, -3*b + 8 = 5*r. Let t(w) = -w**2 + w. Let p(u) = u**2 - 6*u - 3. Let i(k) = b*p(k) + 2*t(k). Factor i(y).\nAnswer: -(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g + 0*g)*(-966 + 713 + 5068)*(0 + 2*g + 0) + 3*g**2 - g**2 + 0*g**2.\nAnswer: 19262*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216774 is divided by 4691.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 55\/(-50)*-4 - (-6)\/(-15). Suppose 68 = 12*n - w. Solve 0*z = -3*z - n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13898720 is divided by 338992?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33550*w**3 + 4*w + 14394*w**3 + 16756*w**3 - 4*w.\nAnswer: -2400*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1567*k**2 + 746*k**2 + 9*k + 1008*k**2 + (-1 + 1 - k)*(4*k - 5*k + 2*k).\nAnswer: 186*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1716 = -1019. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 * -5559732\nAnswer: 422539632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 3:55 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2724, 5221, 7044, 8199, 8692, 8529, 7716?\n\"Answer: l**3 - 343*l**2 + 3519*l - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 668964 a multiple of 428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 393, 885, 1583, 2493?\nAnswer: 3621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 5687.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, 4, 18432 in descending order.\nAnswer: 18432, 4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29640 and 12597.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(6\/25)\/a)\/a)**23)**27 assuming a is positive.\nAnswer: a**(-11799\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 46, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t + 8*t. Suppose 5*g + 2*x - 11 = t, 2*x = 6*x - 12. Which is the nearest to g? (a) 3 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 20*t**2 + 3799848*t - 3799868 = 0.\nAnswer: -949967\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9 = -5*w + 41, -2*w + 40 = -3*a. Solve 3*d + 1 + 2 = 3*n, -2*n - d = -w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8388 + -8367. Suppose -4*g + 12 = 4. Suppose 4*w = 30 + g. What is the remainder when i is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 725, 723, 725, 731, 741?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (376\/(-1269))\/(308\/(-21))\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8201729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s = 30. What is the third derivative of 3*z**s + 2*z**2 - z**2 - z**6 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(53\/((-2756)\/312) + (-2 - -1))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-68) - (51 - 38755\/765)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 37*l + 42*l - 8 = 0, 2*r + 3*l + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-6))\/(3\/9). Suppose 0 = -g - 2*g + 375. Suppose 0 = -x*w + g - 45. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 8 - (7 - (-4 + 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.85 + -10.85. Put 5, m, 3, -14 in increasing order.\nAnswer: -14, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9617, 9602, 9591, 9590, 9605, 9642, 9707, 9806?\n\"Answer: g**3 - 4*g**2 - 10*g + 9630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/4 - -9 - 6\/75.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2085480.\nAnswer: 2, 3, 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 84*z**2 - 40*z**2 - 45*z**2. Let b(k) = -6*k. Determine y(b(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -72*f**2 - 9*f - 9. Let t(m) = -35*m**2 - 4*m - 4. Let k(h) = -4*b(h) + 9*t(h). Let y(d) = -13*d. Determine k(y(j)).\nAnswer: -4563*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 462*f**3 - 237*f**3 - 491*f**3 + (f**2 - 4*f**2 + 2*f**2)*(2*f - f + f) + 0 + f**3 + 0 + 0*f**3 + 0*f**3 - f**3 - 4*f**3 - 4*f**3 + 6*f**3.\nAnswer: -270*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k - 6. Let s be t(-3). Let m(w) = 8*w**3. Let u(x) = 39*x**3. Give s*m(n) - 5*u(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 4, u: 1, x: 4, f: 1, q: 2}. Give prob of sequence ud.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 159344299 a multiple of 667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554*j - 552*j - 98454 = 3*t, -4*t = -3*j + 147683. What are the prime factors of j?\nAnswer: 3, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2324 - 1032 - 1065 + 4421 - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1474, -1291, -816, 89, 1562, 3741, 6764?\n\"Answer: 23*q**3 + 8*q**2 - 2*q - 1503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -60563758.\nAnswer: 5\/60563758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - 11 - (-6 - (-2 - -3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46180 is divided by 3839.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -32*i**3 + 6337*i**2 - 374*i + 34862. Determine s(198).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3313.\nAnswer: -13252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 0.3, 3201, 17, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931140 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.76707 - 26910942\nAnswer: -26910941.23293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(2\/19)*f*f)*f)**33 assuming f is positive.\nAnswer: f**(-66\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78 + -2 + (10 - 0)*9\/15. Solve -v*i + 32 = -74*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1339 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21828\/43 or -509?\nAnswer: -509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233978219 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 11:18 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2 + 27*o + 90 = 0.\nAnswer: -3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 329 - 2561 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 1:47 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 3.184.\nAnswer: -12.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 + 0*j**2 + 2*j**2. Let n(m) = -2*m. Let l(g) = 2*g. Let o(a) = -5*l(a) - 4*n(a). What is o(t(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -12. Calculate the remainder when z is divided by 186\/16 + -9 - (-1)\/(16\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0122863898 to 6 dps.\nAnswer: -0.012286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35267019*b**2 - 7012993*b wrt b.\nAnswer: 70534038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -10 - (-14)\/3. Suppose 4*d = -0*d - 4. Let t = -169\/3 + 509\/9. What is the nearest to d in -3, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463902 (base 10) to base 3.\nAnswer: 212120100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4\/4 + 96*a**3 + 735*a**2\/4 - 1317*a\/2 + 378 = 0.\nAnswer: -126, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 29*g**2. Let x(a) = a + 5. Let q(w) = 2. Let j be ((-6)\/3)\/(4\/(-10)). Let r(c) = j*q(c) - 2*x(c). What is r(o(n))?\nAnswer: -58*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 613002 (base 8) to base 3.\nAnswer: 101021102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.09 (b) 13 (c) 2 (d) -4\nAnswer: a","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 urukrrqmuurwu.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -8689, 1, 0 in decreasing order.\nAnswer: 109, 1, 0, -8689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5372083*k**5 - 29*k**4 - 50*k**2 - 2*k + 80053.\nAnswer: -322324980*k**2 - 696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -873 - -344. Let r = j - -529.000000545. What is r rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18+-189322.5\nAnswer: -189340.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 5. Let t(k) = 22*k**3 + 2*k - 1. Let n be t(1). Suppose -3*q = 3*m - 39, -4*q - n = -5*q + r*m. 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: Calculate -4 + 7 + -8 + 10 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*j**3 - 2*j**3 - 362*j + 184*j + 181*j - 4*j**2 in the form t*j**2 + f + z*j**3 + l*j and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 46. Let u be o*(2 + -2*(-69)\/12). What is the remainder when 70 is divided by u\/54 + (-1 - (-37)\/2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47532?\nAnswer: 2, 3, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 5 - w**2 - 5.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v**3 - 17865293*v**2 + 17865293*v**2.\nAnswer: 43*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1355 + 1357 + 1396 - 2*k**2 - 2*k**3 - 90*k**3 - 4108.\nAnswer: -92*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -697*c - 21284 - 6596 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 53 + 5*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/2)\/(c\/(c\/((c\/(c*c**9))\/c)))*c**(-1\/24)*(c**7*c)\/c assuming c is positive.\nAnswer: c**(371\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.7 - -1.7. Let w = l - -9. Let t = w - -3.007. Round t to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20016940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 divide 47158650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1304 - 922 = 358*t - 2124 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/95 and -92\/2971305.\nAnswer: 56454795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + d**2 - 2*d**2 - 4*d**2 + (-d + 9*d + 0*d)*(-d + 0*d - d) to w*d**2 + a + t*d and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 52*s**2 + 15*s - 761. What is b(52)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*3*(-2*sqrt(448) - sqrt(448))*2 - (-4 + -1*sqrt(448) + -1*sqrt(448) + 2)).\nAnswer: -2 + 592*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3770)\/(-2) + 0 + 1. Suppose -1892 - 7227 = 11*v. Let n = r + v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 59*l + 59*l + 55*l**2 - 19*l**4 + 16*l**4 to a*l**4 + t + p*l**3 + w*l**2 + m*l and give w.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*y**4 - 89833*m + 2*y**4 + 142*y**3 wrt y.\nAnswer: -4*m*y**3 + 8*y**3 + 426*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12555 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4 - (-111)\/12. Suppose -z = -2*y + x, -y + 4*z = -5*y + 36. Let m = -4 + y. Let a(v) = -v + 2. Calculate a(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -295, -293, -291, -289, -287?\n\"Answer: 2*w - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 395 and -568.49492935.\nAnswer: -173.49492935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 395891.9 millilitres in litres?\nAnswer: 395.8919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmjjjzajza. Give prob of sequence zaa.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5107.\nAnswer: 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) + -2))**2*1 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -412 - -411.6. Which is the smallest value? (a) o (b) -0.2 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5622480 minus 4?\nAnswer: -5622484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(21)\/sqrt(3) - -1*(2*sqrt(7))**2).\nAnswer: sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33417653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*t = 5*y - 762, 0 = -4*y + 5*t + 2980. Calculate the greatest common factor of y and 1375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3605 + -50583\/14. Let x = -178853\/6141310 - -1\/14870. Let a = -23421\/4130 + x. Calculate the common denominator of a and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*x - 30 = 0, 5*f + 2*x = -2*x + 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**8\/2880 - 11*k**5\/60 + k**4\/24 + 13*k**2 - 1. Let o(f) be the third derivative of p(f). Let g(u) = 2*u. Calculate o(g(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 4 = -4*q, 5*j = q - 3. Let i be (2\/j)\/((-12)\/(-18)). Let c(r) = 5*r**2 + r - 5. What is the units digit of c(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - a + 29 = -33, 0 = 5*o + 4*a + 92. Let x = o - -25. Solve -3*g - 4 = 2*k, -2*k = -x*k - g - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468 and 24102.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**8\/1848 + 9*b**7\/385 - 29*b**6\/220 + 89*b**5\/330 - 5*b**4\/22 + 2*b**2 + 1191. Factor r(c).\nAnswer: 2*c*(c - 1)**3*(c + 30)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 5, -5, 0.536?\nAnswer: 0.536","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 94*d - 1610. Give u(71).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from {k: 1, d: 4, s: 6, l: 4, u: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-28))\/(((-17748)\/3808)\/(-29)).\nAnswer: -80\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 - 214054156*i + 11454795425218084 = 0.\nAnswer: 107027078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59444549.\nAnswer: 653, 91033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21605 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 - -128. Suppose 7*d + 32 = 4*t + z*d, 0 = -t - 3*d + 8. What is the lowest common multiple of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 397017*g**2 - 25. Let r(z) = -10*z. What is n(r(u))?\nAnswer: 39701700*u**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {w: 18, b: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4679 divided by 1?\nAnswer: -4679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 610881304 * -3\nAnswer: -1832643912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17955226 to the nearest integer?\nAnswer: 4237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 282539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122100021 + -100?\nAnswer: 22122022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -27\/20, -0.1, -2, 1\/2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13752 is divided by 181?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -283*o**3 + 2 - 108*o + 9\/4*o**6 + 144\/5*o**5 - 315*o**2 + 507\/8*o**4. Suppose f(j) = 0. What is j?\nAnswer: -6, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v + 7*v - 10*v - 2*v - v - 3*v + (5 - 6 + 0)*(11 - 11 + 4*v) - v - 2*v + v to t*v + i and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 + 96219\/48. Let u = -7606261\/3792 + f. Let q = 2\/79 - u. What is the second biggest value in -0.5, -0.2, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 + 2*h**2 + 5*h + 3*h**2. Let x(u) = -5*u**2 + u - u**2 + u + 11*u**2 - 4*u**2. Give -2*m(j) + 5*x(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t + 10*t - 19008 = 0. What is the highest common factor of 66 and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0474 - 26.\nAnswer: -26.0474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5700))\/(-2*sqrt(6)\/sqrt(2)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17*v**2 + v - 2. Let z(h) = -8*h**2 - 1. What is 6*a(q) - 13*z(q)?\nAnswer: 2*q**2 + 6*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 859741.9ms?\nAnswer: 859741900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - s + 542 = -0*s, 5*s = h - 249. Suppose 40*q + 4*l = 45*q - 85, 3*l - 141 = -6*q. What is the remainder when h is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + m**2 + 3*m - 2. Let z(c) = -2*c**3 + 2*c**2 + 5*c - 5. Let n(l) = 5*q(l) - 3*z(l). Let f be 2\/4 - (-7)\/2. Is n(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10226546\/7 or -1460936?\nAnswer: -10226546\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 2*x + 4, 3*x + 4*g - 254880 = -254891 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 3a13?\nAnswer: 3a0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2204 (base 12) to base 4.\nAnswer: 322210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 10*r**2 - 12*r + 8. Let k be h(11). What is the second biggest value in -0.025, k, 2?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-39 - (-31 + 6)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3, 2*c + 2*x - 66 = 56. Let p = 202 - c. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06546 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 716383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.029 - 2.029. Suppose 2*q + 2 = 4. What is the closest to -1\/3 in q, v, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002996 to seven decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 100, 190, 334, 550?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 828*x + 827*x + 326*x + 1738*x.\nAnswer: 3719*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - c + 3. Let o be z(0). What is the second derivative of 3*s**5 + 27*s**5 + o*s - 48*s**5 wrt s?\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r + 47. Let p be c(-5). Let n(l) = -l**3 - l**2 + 14*l + 23. What is the units digit of n(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -96. What is the greatest common factor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 7*i**2 - 5*i + 8. Suppose 4*y = -5*c - 14, 4*c - 3*c + 18 = 3*y. What is the units digit of a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-9) + (-1)\/3. Suppose -3*m + b*o = -41, -4*o + 3*o + 115 = 5*m. Let k = -6 - -8. What is the lowest common multiple of k and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47086*f**4 + 8*f**2 + 2980?\nAnswer: 1130064*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1883 = 841*j - 2496 - 2751 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -10*d + 13*d - 4, -c + 1 = 0. Let g(s) be the first derivative of -24 - 29\/3*s**3 + 18*s + d*s**2. Find the first derivative of g(v) wrt v.\nAnswer: -58*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661200 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = m - 6*m. Suppose 5*s - 15 = 0, 3*s + 549 = 5*y + 178. Let n be (-4)\/(-26) + y\/13. Calculate the highest common factor of n and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 23. Let h = 11 - t. Suppose -h*x + 165 = -x. Calculate the highest common divisor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -27, -52, -95, -162?\n\"Answer: -z**3 - 6*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 h, and 2 p when four letters picked without replacement from {p: 2, o: 1, r: 2, q: 1, u: 1, h: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -y - 4. Let k(v) = y*v - 9*v + 4*v. Let x(z) be the second derivative of z**4\/12 + 3*z. Determine x(k(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/99 + -937\/1386. Let u = -2883\/14 + 206. Let q = u - o. Which is the nearest to -1? (a) 4 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 2. Let k = -4 - -7. Let i = k + n. Which is greater: -1\/3 or i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 13. Determine x(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + (-47 - -47)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1320, 0, -1242 in ascending order.\nAnswer: -1320, -1242, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/20*-2*3\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/34)\/(-15*17\/510)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23733, 29877, 36011, 42129, 48225, 54293, 60327, 66321?\n\"Answer: -j**3 + j**2 + 6148*j + 17585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-9))\/(-4)*297\/165\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(2\/10))\/((-2)\/(-1)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(2\/47)*m**(5\/3))**45 assuming m is positive.\nAnswer: m**(7665\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 66*p**2 - p. Let y(t) = -2*t**2 - 18*t + 325. Let h be y(-18). Give k(h).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, -0.4, 0, -13\/8, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12*z + 83. Let h be a(-7). Let t be (2\/(-96))\/(h\/3). What is the closest to -1\/2 in 3\/4, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/10)\/((-56)\/(-420)))\/(-9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zttls. Give prob of sequence tst.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1276 is divided by 780?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -0.6. Let b = 1 - p. What is the second smallest value in b, 1\/5, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17036 and 0.07.\nAnswer: -1192.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 205999949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -5, -2\/5, 5.\nAnswer: -22, -5, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 80 = 2*j. Solve -2*d - j = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 64*p**2 + 8*p - 5. Is z(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 5*r**2. Let q be l(-5). Suppose -2*s + 5*w + 19 + 1 = q, -4*s + 12 = 4*w. Solve s*t + 5*c + 1 = -4, -2*c = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 41 = 5*u, 2*u + 2 = w - 9. Suppose 4*s - s - w = 0. What is the second derivative of -m**4 - s*m**4 - 13*m + 9*m wrt m?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2220, -1613, -1000, -381, 244?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 3:14 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjacaj. What is prob of picking 2 j and 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 18 - (-35 + (-38 - -51))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/6)\/(6555874\/262236 + -25) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4290261.9 and 3.\nAnswer: -4290258.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4, 11, -16, -2\/7 in increasing order.\nAnswer: -16, -2\/7, 2, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 27848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 2*y - 17, 74*z + 4*y - 19 = 79*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 5*i**2 + 2*i + 4. Let a(v) = -7 - 4*v**2 + 1 - v + 0*v**2 + 4*v - v**3. Let y be a(-5). Let c be b(y). What is c rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 989*x - 141 + 103 to the form i + m*x and give m.\nAnswer: 989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/31812 and 39\/1928?\nAnswer: 63624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1322824, -2, -1\/9, 0, -1?\nAnswer: 1322824","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**4)\/b**(6\/7))**28)**29)**39 assuming b is positive.\nAnswer: b**(-122148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1695*x = -1619*x - 228 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose -2*s + 4 = -f*n - n, -2*n = 0. Suppose 468*j - 472*j + 16 = 0. Solve s*k + 4*w + j = 6*k, k - 3*w = 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992 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: Let w(q) = -6*q**2 - q. Let j be w(1). Let d = j + 11. Solve -z = -d*m + 6*m - 7, -3*m + 6 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3520179 divided by -1\nAnswer: 3520179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254900676?\nAnswer: 2, 3, 21241723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.46 - -0.56. Let l = -29\/148 - 2\/37. Let z = 1122 - 1119. Which is the fourth smallest value? (a) o (b) z (c) -3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 3*b - 8*b - 10*b.\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1110010011011011010 (base 2) to base 12\nAnswer: -1a72a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*8\/22 + 46035\/(-90024).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 14 (c) 0.2 (d) -1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 208, -1\/46, 60?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 4*g**2 - 5*g + 3. Let j(b) = b**2 - 4*b. Let y be j(5). Let q be n(y). Suppose -5*u + 54 = -q*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 7*c**4\/24 - 24*c**2. Let x(q) = -q - 17. Let o(f) = -3. Let r(v) = 34*o(v) - 6*x(v). What is i(r(t))?\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 130687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -0*h + 5*h. Let y = 19 + h. Suppose 4*c - 265 = -c - 5*j, c + y*j = 73. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (8 + -18) - 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006348 rounded to seven decimal places?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*q**4 + 7*q**3*u - 6*q + 76*u + 11 wrt q?\nAnswer: -12*q**3 + 21*q**2*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*o - 4. Let l(t) = -t + 12. Let z be l(8). Let y(v) = 2 + 0*v**2 - 4 + v**2 - z + 4*v. Calculate y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -a + s - 1, -s = -2*a + 6. Let h = a - -17. What is the remainder when 35 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016747 rounded to four dps?\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**3 - 1740*w**2 - 71712*w - 35420.\nAnswer: 4*(w - 253)*(w + 35)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 3\/11 (c) 5 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -66. Solve -y = -w + v, 0*w - 2*w = v - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 351 and 702.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5134666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 58*g - 4. Is 3 a factor of u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + ((-81)\/(-75))\/((-15)\/40). Put -2, q, 4 in ascending order.\nAnswer: -2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278\/(-324) - (-4)\/8*8?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, 26, 85, 168, 275, 406?\n\"Answer: 12*p**2 - p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188 + -943\/5. Let x = 971 - 973. Which is the closest to 2? (a) 1\/3 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -578, 5, 2, 4, -4 in ascending order.\nAnswer: -578, -8, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109, -121, -143, -175?\n\"Answer: -5*g**2 + 3*g - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000105453 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o. Let z(x) = 4*x**3 - 6*x**2 - 42*x - 48. Let v(c) = 8*c - 39. Let k be v(5). Let t(w) = k*z(w) + 10*m(w). Let t(d) = 0. Calculate d.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1478)\/3*(378\/13)\/2. Let y = 28401421\/3965 + u. Let p = -1\/61 + y. Which is the third biggest value? (a) -3 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133345 - 0.09\nAnswer: -133345.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 49. Let l = -20 - f. Calculate the remainder when 11 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 61*a**2 + 56*a + 2288. What is the thousands digit of y(65)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*o + 77 + 523 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from ljjsjjnjljjejnjijle?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 0)\/(-1)*5\/(-10). Suppose -w - 3*r + 112 + 208 = 0, -4*w - r + 1302 = g. What are the prime factors of w?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 30 = -4*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -44. Let j = -9 + c. What is the remainder when 23 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -38\/11 (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1932 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-576)*(-150)\/(-30)*(-6)\/((-3)\/(-3))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 9*a**3 - 10)*(1 + 1 + 0) + (a + 0 + 0)*(-18*a**2 + 29*a**2 + 28*a**2).\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 7*y + 8. Let z be n(4). Let k be (0 - z) + (-63)\/(-7). What is the third derivative of -k*v**4 + 14*v**4 - 14*v**4 - 15*v**2 wrt v?\nAnswer: -312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*j - 27 = 0, 21 + 6 = 5*h - 4*j. Let d be (-2)\/h - 408\/(-18). What is the highest common divisor of 33 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -71747, -287009, -645779, -1148057, -1793843, -2583137?\n\"Answer: -71754*q**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 5*s**2 + 4*s - 4. Let h be -10*13\/((-26)\/(-15)). Let d = -79 - h. What is n(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 684 + 0*d**3 - 679 - d**3 in the form c + m*d + j*d**2 + g*d**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 185ac1 - a?\nAnswer: 185ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (27 + -9)) + -12 - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6756, -6755, -6754, -6753, -6752, -6751?\nAnswer: -6750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2047, 4998, 7949, 10900, 13851, 16802?\n\"Answer: 2951*w - 904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 16*b - 478. Let q be h(30). Let d(n) be the second derivative of -q*n**3 + 6*n**2 + 0 - 1\/4*n**4 + 3\/20*n**5 - 8*n. Factor d(g).\nAnswer: 3*(g - 2)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 4*z - z + (4 - 3 - 2)*(-34*z + 5*z - 36*z).\nAnswer: 67*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 43*m + 5. Let k(u) = u**3 - 8*u**2 + 6*u + 5. Let z be k(7). Let b be (-1 - 3 - -2)*z. Is i(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 4. Let o be v(-4). Let s = 829\/12 + -181\/3. Calculate the common denominator of (-34)\/(-16) - (o - -1) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4762802380 to the power of 1\/2, to the nearest integer?\nAnswer: 69013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111100110101000 (base 2) in base 11?\nAnswer: 89290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2805)\/68 - (-3)\/(-4). Let d = -22 - t. What is the least common multiple of d and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*12237\nAnswer: -4894.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 264 = -2*f. What is the units digit of 22\/f*(-126 - (-1 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114440960 divided by -145?\nAnswer: 789248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -110, -55, 34, 163, 338?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, 2, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86322*n**3 - 5477*n**2 + 5477*n**2 - 2*n + 32977*n**3.\nAnswer: -53345*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002019371224 rounded to 7 dps?\nAnswer: 0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6)*10\/((-50)\/(-45)). Let q be 2\/d - 15\/((-360)\/(-16)). Solve 0 = h + 2*g - 4, -3*h - h - 4*g = q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 6*q**4 + 4*q + (15*q - 11*q + 22*q)*(16*q**3 + 10*q**3 - 4*q**3) to i*q + t + j*q**3 + y*q**2 + g*q**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 - 58 - (1 - (-1 - 0))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/7)\/k*k*(k\/(k*k*k**5\/k*k))\/k*k**(1\/6)*k*((k\/(k*k\/(k\/(k*k*k*(k*k**(-3\/7)*k)\/k))))\/k*k)\/k assuming k is positive.\nAnswer: k**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21040792, -21040789, -21040786?\nAnswer: -21040783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2627040323 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 81. Let q be w(43). Calculate the greatest common factor of 655 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1785?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 = -3*f. Let z be -1*1\/3*(-13041)\/189. Suppose 5*y = f*y - z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 3, g: 5}. What is prob of picking 2 v and 2 n?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/1)\/(-2 - -1). Let o(w) be the second derivative of -1\/6*w**3 - 57*w + 5\/12*w**4 + 0*w**2 + 0. Determine o(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 10 = -2*a - b, -a - 6 = -5*b. Solve 3*j - 5*k = -0*j + a, k = 3*j - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*g**4 + 0*g + 3\/2*g**5 - 3\/4*g**2 + 0 + 0*g**3.\nAnswer: 3*g**2*(g + 1)**2*(2*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*n + 6 = -0*n, 3*n = w - 8. Let y be (8\/2)\/(1 - -1) - w. Solve k = -y + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7 * 164.4.\nAnswer: -443.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**6\/150 - 2*y**5\/25 - 7*y**4\/30 - 3*y**2 - 1. Find c such that k(c) = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 21 = 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/8 + 0)*-4. Let w be 4 + (92\/69)\/(4\/(-6)). Sort w, z, -1 in descending order.\nAnswer: z, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3) + 38 + 14?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1902 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(98)*-2*-2 + (sqrt(3200)*-1 + -3 - (5 + sqrt(3200)*1)))**2.\nAnswer: 312*sqrt(2) + 5417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + 0*d)*(-1 - 2 + 0)*(d + 0 + 0).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19074 divided by 6358\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -103*n**2 + 305*n**2 - 99*n**2 - 101*n**2. Let v(k) = k - 29. Give v(z(h)).\nAnswer: 2*h**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3461458 and 12922.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-3)\/161*39215\/(-1705)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 121836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 960*f + 3900. Determine o(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2486210 and 1.35653092.\nAnswer: 2486211.35653092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 16*z + 8. Does 3 divide f(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19017 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118 - -353\/3. Are 22\/13 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - -74 - (0 - 4). What is the highest common factor of g and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 195\/71 - 10897\/426. What is the common denominator of u and -53\/290?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 16 - (-2812)\/(-222). Sort -1\/5, w, -16\/7, -5\/3.\nAnswer: -16\/7, -5\/3, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*p + 5*p - 4*p)*(-3*p - 5 + 5)*(15 + 27 + 10) as o + c*p + x*p**2 and give x.\nAnswer: -3588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)\/sqrt(2)*-1 + -1*(sqrt(49) + sqrt(196)))\/(sqrt(175) - 4*sqrt(175)*1))**2.\nAnswer: 112\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12019 = t + 30904. Let y = t + 1057601\/56. Calculate the common denominator of y and -11\/20.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.45 + 0.02.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22011122 + 2102?\nAnswer: -22002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/1033 - -7708\/155983. Let t = -353\/4022 - -2971333\/4251254. Let c = s - t. Sort 0.2, c, 2\/23 in increasing order.\nAnswer: c, 2\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 1:46 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52 - -6?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 507728.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 8366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvv when three letters picked without replacement from {h: 1, j: 5, w: 1, e: 1, s: 5, v: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3810\/40 - (-2)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*m - 8, -m - p - p = -2. Suppose -m*k - 2*c = 0, -4*k - c = -4*c. Factor 1\/4*z**4 + 1\/2*z**3 + 0*z + k + 1\/4*z**2.\nAnswer: z**2*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2356, -25623, -88770, -211735, -414456, -716871, -1138918?\nAnswer: -1700535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/32 - -2 - 29\/4) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*sqrt(245))**2 + -3 + 3)*6.\nAnswer: 13235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i. Let f = -8 - -12. Let c(n) = -f - 2*n + 4. What is h(c(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 4*a + 3. Let i be y(2). Let c(o) be the first derivative of -3*o**2 - o - 248. What is c(i)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 826.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 224 = -3*a, -4*a + 0*a + 3*t - 318 = 0. Let y = 207 + a. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*a = 395*a - 60 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 654644\/3 or 218214?\nAnswer: 654644\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21 + 3714)\/(-2 + 494\/92). Let o = a - 1096. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 37. Let r be (6 + d)\/((-2)\/(-70)). Suppose 0*w + 3*y + 27 = 3*w, 3*w - 5*y = r. Solve -3*i + 3*k + 6 = 0, w*i - 3*i + 4*k - 22 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 2. Let n = -1.82 - y. Suppose 5*x = 2*g - 23, g + 7 = 4*g - 2*x. Is n >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 7:33 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.228 + 0.072. Let x = 565\/4 - 1145\/8. Which is greater: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -21*(32\/(-12) - -2). Let r(d) = d**3 - 14*d**2 + 2*d - 16. Let q be r(k). Suppose 14*a = q*a. Solve -2*c + 5*t = 10, a = -3*t - 2*t + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9485 divide 499932124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**3 + 5*a**3 + 6*a + 3*a - 10*a**3 - 12*a**2.\nAnswer: 3*a*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 = -8. Let l be ((-2)\/(-3))\/(a\/(-102)). Let w = l + 62. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1304*r - 8. Let y(a) = 868*a - 5. Let x(k) = 5*v(k) - 8*y(k). Let u(b) = b**2. Give u(x(w)).\nAnswer: 179776*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 65 + 71 + -37 - 201\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*j*w**2 + 38391*b*j*w + 397*j*w**2 + j*w + 3*j + 2*w**2 + 105*w wrt b.\nAnswer: j*w**2 + 38391*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 4.4. Let a = i - -7.4. Which is greater: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1289 + 3996 + 26*m - 1322 - 1328. Give i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 832*r + 1279605*r**2 - 832*r.\nAnswer: 1279605*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - (-2)\/((-2)\/(-527))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/1)\/((-144)\/136))\/(3\/((-171)\/(-95))).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7828 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, -5, -15709?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - ((-770)\/50 + (-12)\/20)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490*r**3 - 13 + 0 + 354*r**3 + 4.\nAnswer: 844*r**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*w - 19*w - 186 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (420*x**2 - 420*x**2 - 37*x**4)*(69 - 2241*x + 2238*x - 9).\nAnswer: 111*x**5 - 2220*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {r: 1, y: 1, m: 6, a: 1, f: 3, o: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -101?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, m: 1, c: 4, g: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 24\/(-10))\/((-4)\/(-60))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437880180?\nAnswer: 2, 5, 11, 6535819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -293162 divided by 63?\nAnswer: -293162\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2, 2\/81, -3\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/2 of a decade?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/18)\/(2\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/6 - 443933*d**2\/6 + 887860*d\/3 - 887858\/3.\nAnswer: (d - 443929)*(d - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -6, 0.4, -0.2 in descending order.\nAnswer: 0.4, -0.2, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2 + 9*b + 3 - 4. Let p be (-12)\/(12\/3) + 13. Suppose 0 = 2*o - p*o + 8. What is t(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 9, 22, 35, 48, 61?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1179 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 4) to base 5\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70550 + 0.364933?\nAnswer: 70550.364933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5808984798?\nAnswer: 2, 3, 19, 151, 337457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153097 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -18407*i - 2227244. Calculate g(-121).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -21*u**2 + 0 + 0*u + 1\/24*u**4 - 1\/6*u**3. Determine w(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9654130 divided by 1042?\nAnswer: -9265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, f: 2, a: 5, r: 2, q: 2}. Give prob of picking 3 a and 1 r.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(19)*-1 - sqrt(152)\/(sqrt(128) - (sqrt(128)*1 - sqrt(128))))**2.\nAnswer: 20691\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 4*l - 8. Let k be p(-6). Let h be (-7)\/k - (-55)\/22. Let y = 1114\/9 + -124. Which is the closest to 0.3? (a) 1 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 218 + 3*v + 15*v - 16*v as u*v + n and give n.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4005 - -1.1005. Which is bigger: q or -37.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 225, 228?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 7. Let i = 315 - 315. Determine c(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 35*q - 140, 15*q - 19*q = -2*m - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssssssvssssss?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c**2 + 3*c + 3. Let y be o(-2). Let x(z) = -2*z - 10. Let w be x(y). Let q = 7 + w. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023586139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 12. Let f(v) = -9 - 6*v - v**2 + 2 + 4 + 4. Give f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = f - 15106, -3*f + 3*a + 59211 - 13917 = 0. Calculate the greatest common divisor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2290.857 months in millennia?\nAnswer: 0.19090475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 94. Suppose 6*m - m = 10, -3*v - m - 280 = a. Let p = v - -104. Solve -12 = -l - p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 7*y + 56 - 89.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(78\/(-4)*-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*28.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 9, 0*g = -2*m + g + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 33. Calculate the common denominator of (a\/(-72))\/(-2 - (-393)\/195) and -17\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 + 601 = 105*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -194. Let o = 62.99999818 + r. What is o rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = s + 5, 2*s - 30 = 2*b - 0*b. Calculate the smallest common multiple of s and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-3))\/(4 + (-245)\/60). Let f be ((-23)\/4)\/(10\/p). Calculate the highest common factor of f and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*f - 146*f = 6438 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3834, 7681, 11526, 15369?\nAnswer: 19210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c - 33. Let k(j) = 7*j + 33. Determine -4*k(s) - 5*r(s).\nAnswer: 2*s + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*l + 14 = -0, -4*p - 8 = -2*l. What are the prime factors of 5\/p + 4 + (0 - -992)?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12564080.\nAnswer: 2, 5, 157051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -237 * -208547.\nAnswer: 49425639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(6\/17)*m*m)*m**14\/m*m)\/(((m*m\/(m*m\/m**10*m)*m)\/m)\/(m**(-4\/31)*m*m)) assuming m is positive.\nAnswer: m**(2381\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(800) + sqrt(800) + -1*sqrt(800))*2 - ((-1*sqrt(800)*1 - sqrt(800) - sqrt(800)) + sqrt(800)))\/(5*-1*sqrt(256) - -2*sqrt(256)*2))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009981647875 rounded to seven decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -28 (b) -2 (c) 185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 15937118232459?\nAnswer: -15937118232456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = -2. Let k be i\/((-2)\/4 - -1). Solve 1 = -3*t - k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1233657 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 8*m + 1. Let x(v) = v + 4. Let y be x(6). Let n = 16 - y. What is the units digit of h(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 29. Solve k*c = c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p = 65. Suppose -p = -3*q + 2. Solve 0*v + 4*z + q = 3*v, -3*v - z = -10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 536526 or -3?\nAnswer: 536526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 2071*l**2 - l**3 + 6099*l**2 - 2011*l**2 - 2017*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -37. Suppose 2*x + 2*p - 12 = 0, -8*x - p - 22 = -11*x. What is the lowest common multiple of x and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmmmkmkmhhk. What is prob of sequence hhmk?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**5 - 2*y**5 - 2*y**5 + 4*y**5 - 3*y**5 - 3*y**5 + (-1465*y + 1465*y + 2*y**2)*(0*y - y - 2*y)*(0*y**2 + y**2 + 0*y**2) - 3*y**2 + 3*y**2 + y**5.\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 10*w - 6. Let z be m(2). Solve -z*q + 14 = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(9)*1))\/(sqrt(648)*3).\nAnswer: sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 34*l + 32. Let k be f(16). Suppose -3*y - 112 + 424 = k. Calculate the greatest common factor of 117 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/18 and -145\/6882?\nAnswer: 20646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 2*w - 40 = 0. Find the second derivative of -w*r - 1008*r**2 - 1 + 1 + 980*r**2 wrt r.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w - 30. Solve 3*k = -0*k - w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -553, -834, -1117?\nAnswer: -1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00278310489 to six dps.\nAnswer: 0.002783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -378988*y**4 + 978344*y**2?\nAnswer: -9095712*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36131 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3040 and 34910600?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/4 of a meter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5271353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from iiiciiiciiiiiciiicc?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:10 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3028.79 - 3029. What is the closest to 0.6 in 0, 2, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 227*t**6\/120 - 2*t**5\/15 - t**4\/12 + 181*t**2. What is the third derivative of w(a) wrt a?\nAnswer: 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35065263, 70130549, 105195857, 140261193, 175326563, 210391973, 245457429, 280522937?\nAnswer: 315588503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-2)\/(-8) - (8 + 884\/(-8))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 8:07 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 - 12*t + 7 - 5.\nAnswer: -12*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*z + 321*z + 64 = -56 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.133451948.\nAnswer: -0.0533807792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3520, -3356, -3192?\n\"Answer: 164*t - 3684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 5*p**2 + 8. Let o be w(-6). Let h be 2\/(-5) - o\/45. Let g = -0.04 - -0.44. Which is the second biggest value? (a) g (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 98619 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - 9) + (-3 - 8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0109 * -0.4\nAnswer: -0.00436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6494 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -25*y**2. Let n(i) = 2*i. Calculate x(n(f)).\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121024 is divided by 153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51186 - 0.048.\nAnswer: -51186.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -285760416 to the nearest 100000.\nAnswer: -285800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -173, -213, -235, -233, -201?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvrv when four letters picked without replacement from {z: 5, r: 1, v: 3}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + 15826\/(-410))*(9\/(-288))\/(2\/(-20)).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67926.3 rounded to the nearest one thousand?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 30*i**2 + 23 - 35.\nAnswer: -30*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Suppose 5 - 2 = r*b. Let v(f) = -8*f**2 - f. What is v(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:59 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004613 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-8))\/(1\/(-4)). Let i = -3 + q. Suppose i = 5*f + 2*f - 35. Solve -f*k = -5 + 25 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(((b\/(b*b**2))\/b*b)\/b)*b**9\/b*b**5*b\/(b*(b*b**(9\/5))\/b*b*b) assuming b is positive.\nAnswer: b**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.363, 0, 12, 2, -5 in decreasing order.\nAnswer: 12, 2, 0, -0.363, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*s - 111, 0 = -16*u - 17*s + 16*s + 407. Solve u = -42*c + 67*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -7) + (21 - (45 - 35))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 159 = 2*j, -5*j - 66 = 6*f - 5*f. Let x = -31 - f. What is the remainder when 28 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-273) - (-216)\/(-260)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 2:04 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18096 and 2320.\nAnswer: 90480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -70, 5 in decreasing order.\nAnswer: 5, -1, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 16*c + 48. Let n be u(12). Suppose 14*y = -q + 10*y, 3*q - 4*y = n. Factor 32\/5*g**4 + q - 48\/5*g**3 - 2\/5*g + 18\/5*g**2.\nAnswer: 2*g*(g - 1)*(4*g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 251*p**2 - 5143*p - 3. Give o(21).\nAnswer: 2685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 4\/21*b**3 - 6*b**2 + 0*b - 74. Factor n(t).\nAnswer: 4*t*(t - 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**2\/2 - 35. Determine q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 728 and 3310593.3424.\nAnswer: 3311321.3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6974 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.008156?\nAnswer: 0.0032624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171*t**3 + 0 + 0 + 585*t**2 + 4*t**3 + 20*t**3 wrt t?\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*i = 104*i + 550. List the prime factors of i.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1056 = -5*c, -14*c + 11*c = 4*x - 638. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 4*b. Let z be (3 - 12)*b\/(-6). Is 1*(-3)\/(z\/26) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-1*3*1)\/((sqrt(12) - (sqrt(144) + sqrt(144) + sqrt(144)*-2)\/sqrt(12)) + sqrt(192)*3)*3*-6.\nAnswer: 54*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Suppose -2*u + 4*l + 6 = l, 0 = -4*u + 5*l + 12. Let z be v(u). Which is smaller: -8\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3960 divided by 792.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616142235 a multiple of 1763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(0 + -1) - -11. Let m be 1*(2 + j\/(-4)). Let t = 1.06 - 0.06. What is the second biggest value in t, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2. Let k(o) = -39*o - 47013. What is k(t(p))?\nAnswer: -117*p**2 - 47013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1330 in -1\/2, 390\/11, 1, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -161 (b) 119 (c) 46 (d) -5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -93 + 97985?\nAnswer: 978b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -121*w**3\/6 + 1177*w**2\/6 - 404*w\/3 + 24 = 0.\nAnswer: 4\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 43*q - 20. Let c be y(16). Suppose -3*s + c = 2*j, -4*s + 3*j = -2*s - 454. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1874 = -18*f + 20*f + o, -2800 = -3*f + 4*o. Suppose -2305 = -5*j - 2*c, -8*j + 6*j + 2*c + f = 0. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -275\/129 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15))\/((-24)\/20 - -1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, 72, 161, 296, 483, 728?\n\"Answer: v**3 + 14*v**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 5*g - 22. Let m be l(8). What is the third derivative of -u**6 - 27*u**4 - 29*u**2 + 3*u**4 + 0*u**4 - 24*u**m wrt u?\nAnswer: -120*u**3 - 576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.839657 times 22?\nAnswer: -722.472454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-6))\/((-15)\/6). Let m = -129\/140 + 146\/35. Put g, -0.1, m in descending order.\nAnswer: m, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1)\/(12\/24). Let g(b) = 735 + r*b + 2992 - 908 + b. Is g(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/450)\/((3 + -2)*10\/(-150))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 313.23 + -313.43. Let u = 0.08 - -0.32. What is the second smallest value in 0.1, u, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592 is divided by 116.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31239, -47585, -63931, -80277, -96623?\nAnswer: -112969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 6:36 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o - 3. Calculate h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-9) + (-55796)\/(-261)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 2*b**2 + 5*b + 24. List the prime factors of t(-9).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3, 95?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/2 + 9*p**3\/2 + 3*p**2\/2 - 9*p\/2 - 3.\nAnswer: 3*(p - 1)*(p + 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 1 + 0 - (-8 - 1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 9*b**2 + 3*b. Suppose 3 + 1 = -u - v, 3*u = 4*v - 40. Let n be r(u). What is the greatest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 78*a**4 + 184*a**4 - 6*a**3 + 8*a**3 to m*a**4 + b + z*a**2 + j*a**3 + i*a and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -22*c. Let m(d) = 61*d - 1. Calculate m(x(l)).\nAnswer: -1342*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**4\/6 + 7*j**3\/6 + 2*j**2 + 3*j - 4. Let v(w) be the first derivative of u(w). Is v(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84240 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 141, 2, 65, 0.01 in decreasing order.\nAnswer: 141, 65, 2, 0.01, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216377?\nAnswer: 7, 30911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 1 + (-6 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18666693 and 324?\nAnswer: 74666772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2233 = -31*g + 1979 + 996. What is the highest common divisor of 9072 and g?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74380 and 38?\nAnswer: 2826440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = m + 1, -5*m + 4*p = -0*m + 2. Suppose -4*g = 3*v - 108, v + 2*g - 40 = -m. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 3016.86 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 20*h**4 - 5*h**5 + 10*h**3 - 17*h**2 - 3*h**2 - 10*h**5 + 5*h = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -102*m + 9726. Let r(q) = q - 2. Let p be r(-8). Let h = p - -22. Calculate the least common multiple of a(95) and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40180\/8 - (-1 - 3)\/8?\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2 + 3*z - 91*z**2 - 4*z - 4*z + 94*z**2 - 4*z**3. What is r(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -9. Suppose 5*g - g = u. Suppose 0 = 3*p + 3*b - 1 - 2, 19 = 3*p - 5*b. Solve -t + g = -r, -4 = -4*r - p*t - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -1 (c) 1\/11 (d) -6 (e) -2.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021809682 rounded to 6 dps?\nAnswer: -0.002181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {t: 1, w: 4, j: 7, a: 1}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5215 or 3?\nAnswer: -5215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 257 = -11*c. Let p(i) = i**3 + 12*i**2 - 6*i + 17. Let h be p(-11). Calculate the greatest common factor of c and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 2057 + 2000 = -4*v. Solve -6*f = -5*f - v*b + 8, -4 = 2*f - 2*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -25\/482868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 811*m**2*y + 60*m**2 + 58*m*y + 26295222*y wrt m.\nAnswer: 1622*m*y + 120*m + 58*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -3 + (-1 - 1). Put -1, 1, g in increasing order.\nAnswer: g, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 703 - 714. Let w(b) be the second derivative of -b**3\/6 - 2*b**2 + 11*b. Let o be w(6). Is o bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -132*i + 12. Let k(x) = 1. Determine -10*k(z) + r(z).\nAnswer: -132*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 150, 142, 148, 174, 226, 310, 432?\n\"Answer: m**3 + m**2 - 18*m + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033689 to 4 dps.\nAnswer: 0.0337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w - k + 2, -w = -4*k - 2. Let q(g) = -73*g + w*g**2 + 73*g. Let n(m) = m. Give n(q(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -28 (c) -4 (d) -3 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from ehvve.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146879025?\nAnswer: 3, 5, 19, 59, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 286 - 286)*(8 - 7*b**2 - 8).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -3) + (3 - 4). Let r(n) = 672*n**2 + 1. Is r(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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 t(c) = c**2 + 3. Let y(g) = -2*g**2 - 18*g - 9. Let l(k) = 15*t(k) + 5*y(k). Factor l(n).\nAnswer: 5*n*(n - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 0. Let j be 6*(1 - 3 - (-5)\/2). Put 1, j, d in increasing order.\nAnswer: d, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1191\/4403 or 4?\nAnswer: 1191\/4403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 5:22 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/18 and (-30)\/(-720)*(-2)\/(-59)*117\/2.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -83. Which is the closest to 0? (a) 1\/8 (b) s (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -12196*q - 1146435. Give z(-94).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -124, -153, -202, -277, -384, -529?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 5 + 5)*(3 + 3 - 5)*(1 + 2 + 2).\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5) + 34\/(-5). Let z(a) = -a**3 - 7*a**2 - 3*a - 7. Let j be z(q). What is the highest common factor of j and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + n + n, 0 = 3*n. Suppose 0 = -o - d + 4, 2*o - d + 2 - 1 = m. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kii when three letters picked without replacement from {t: 4, i: 4, k: 6, s: 5}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4685, -3, 4, 6, 0, 14 in ascending order.\nAnswer: -3, 0, 4, 6, 14, 4685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3339886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10352946, -20705879, -31058804, -41411721, -51764630, -62117531, -72470424?\n\"Answer: 4*q**2 - 10352945*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -2, 53 in increasing order.\nAnswer: -65, -2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 + 17665702951.\nAnswer: 17665703128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -2\/7 (b) -0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -57 - (-1 - 1). Suppose 4*t + 3*f - r = 0, -4*t + 70 = t - 4*f. Let v = t - 7. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -5339659.\nAnswer: 533965.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(20)\/(sqrt(20)\/(sqrt(30)\/sqrt(3))))\/(sqrt(20)*-2 + (sqrt(50) - sqrt(200))\/sqrt(10)))**2 + -4)*5.\nAnswer: -98\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 202?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 7. Let k be d(5). Let p(x) = 5*x + 2 + 0*x**2 + k*x + x**2. Let m = -4 - 2. Give p(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -65*t - 18. Determine f(2).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:26 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-126))\/(1\/3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (7 + 11)) + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1615 and 3553.\nAnswer: 17765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/7 - 2018*k\/7 - 49825\/7 = 0.\nAnswer: -1993, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**(-2\/97)*(o**(-1\/2)*o)\/(o\/o**(-5)) assuming o is positive.\nAnswer: o**(-3197\/582)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 2, -1, -0.3, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.28 + -0.28. Is k > -2\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 11:53 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10646473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/(-9))\/((-4)\/(-6)). Let k = -157 + 153. Sort 7, t, k in decreasing order.\nAnswer: 7, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/45)\/(30\/(-504))*((-189)\/(-6))\/(-3)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1026 = 1032 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 1. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 338, -1\/57, -2\/7?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2 + 8*o - 7. Let s(q) = 7*q**2 - 7*q + 6. Determine 6*s(b) + 5*w(b).\nAnswer: 7*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.314 - -0.686. What is the closest to g in 0.09, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:06 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 + 10*u - 13. Let m be s(7). Let r = -198 + m. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-124)\/(-372) + 129344\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36645, 36635, 36625?\n\"Answer: -10*v + 36655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150716 (base 10) to base 4.\nAnswer: -210302330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: e4fb9 (base 16) to base 10\nAnswer: 937913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25 - 38\/(76\/54). Suppose 2*o = -2*o + 16. Suppose 0 = -p - 3*p + 12. Sort o, p, c, -3 in descending order.\nAnswer: o, p, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = -5*z + 61, -46 = -4*z + 2*c. Let s = 127 - 97. Calculate the greatest common factor of s and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 5*u - 2. Let b be m(-5). Let k be 2\/(-3) - (-1035)\/b. Let t = k - -75. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33.9 or -497?\nAnswer: -33.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1351 + 1351 + 25*q)*(-24 + 24 + 8*q**3).\nAnswer: 200*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156796 is divided by 13004.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405296277.\nAnswer: 3, 19, 233, 30517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/((-64)\/(-20)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 + -0.3. What is the biggest value in -0.2, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.44 - -22.4. Put 10, y, 5 in ascending order.\nAnswer: y, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -26.1235 (c) -1\/157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.022, -3\/5, -5 in increasing order.\nAnswer: -5, -3\/5, 0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 + 333\/27)*1*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a day in minutes?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**4 + m**3 - m**2. Let o(k) = 18*k**4 + 6*k**3 + 7*k**2. Let l(b) = o(b) - 6*q(b). Find the third derivative of l(x) wrt x.\nAnswer: 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9 - 16 = 0. Suppose 2*y - 6*y + 4*r + 16 = 0, -5 = -p*r. Find the second derivative of 2*v**y + 2 - 2 + 3*v + v wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.514 times 3\nAnswer: 16.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 + -0.54. Let x(g) = -g + 9. Let k be x(4). Let d be 4\/(-6)*(-2)\/4. Which is the third smallest value? (a) d (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13947 or -13945?\nAnswer: -13945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*x - 67*x - 77 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/28 + 0)\/((-498)\/(-581)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -38?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -31. Let m(p) = -p**2 + 18*p + 3. Let s be m(18). Which is the third smallest value? (a) t (b) s (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40041814 - 2683083423\/67. Let u = 4207 + d. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(20700\/(-378))*23.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 5\/2 (b) -89 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -543321, -543314, -543311, -543318, -543341, -543386, -543459?\n\"Answer: -o**3 + 4*o**2 + 2*o - 543326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 5\/2*i**2 + 0*i - 5. Let q(p) = 2*p**2. What is r(q(s))?\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3504 + 0.36. What is c rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212 + 876. What is the greatest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1163 = 5*s + 4*g, 5 = g + 3. Solve s = -4*c + 247 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*l + 18 + 15*l**4 + 40*l**5 + 14*l**3 + 129*l**4 - 98*l**2 + 28*l**3 = 0. What is l?\nAnswer: -3, -1, -3\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -85, -429, -1015, -1849, -2937, -4285, -5899, -7785?\n\"Answer: -y**3 - 115*y**2 + 8*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**7\/1260 - l**5\/60 - l**4\/24 - 4*l**2. Let q(j) be the second derivative of f(j). What is the derivative of q(m) wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 14 = l, -4 = 326933*a - 326936*a + l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4131 + 4131 + 60*q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/21)\/y)**(-25))**(-22) assuming y is positive.\nAnswer: y**(-12100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -11*y + 5. Let o be -2*y\/(-6)*0. Let i(c) = -c**3 - 10*c**2 + 11*c - 5. Let z be i(-11). Put 1, z, o, -1 in descending order.\nAnswer: 1, o, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 21*u**3 + 6*u**2 - 46*u + 2. Does 3 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19785, 14439, 9091, 3741?\n\"Answer: -j**2 - 5343*j + 25129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -86671 divided by 13\nAnswer: -6667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5446 or 1?\nAnswer: -3\/5446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5 - 329*q**4 + 30823*q**3 - 613871*q**2 + 2778256*q - 2194880 = 0.\nAnswer: 1, 5, 19, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 a, and 1 j when three letters picked without replacement from azjmlmj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -70. Let i be (-1659)\/490 - 2\/(-7) - r. Sort i, 0, 7, 3 in decreasing order.\nAnswer: 7, 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/760095 and -143\/144.\nAnswer: 12161520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3 - 40*g + 1 + 36*g + 2*g**2. Let k be n(1). Solve -p - k*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 17*j - 6. Let c be z(-18). Let v = c - -45. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339 by -1.\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/7 - 183*g**3\/7 - 4264*g**2\/7 - 4080*g\/7.\nAnswer: g*(g - 204)*(g + 1)*(g + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - (-2)\/(-5). Let t(q) = -1 + c*q**3 + 2 - 6*q**3 - 2. Calculate t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, z: 5}. What is prob of sequence zz?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/36 and 52\/4676859?\nAnswer: 18707436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from vpjjpjppjjppvjjpjjjj.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0 + 0*y**5 + 78*y**2 - 98\/3*y**3 + 0*y**4 + 0*y + 37\/120*y**6 - 1\/105*y**7. Differentiate h(g) wrt g.\nAnswer: -8*g**3 + 111*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s**5 + 4*s**4 + 4*s**3 - 8*s. Let y(q) = 10*q**5 + 3*q**4 + 3*q**3 - 8*q. Let g(o) = 3*k(o) - 4*y(o). Find the second derivative of g(l) wrt l.\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*j + 1440 = 58*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*p**3 + 775*p - 775*p.\nAnswer: 39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*b**2\/5 + 434646*b + 283464\/5.\nAnswer: 2*(b + 47244)*(23*b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, h: 1, c: 2, d: 2, i: 1, j: 1}. Give prob of picking 2 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 9 = -5*l, 642 - 637 = -v - 4*l for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11429048 is divided by 481.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 1, b: 2, w: 1, z: 2}. Give prob of picking 2 z and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -254, 3, 45, -3, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-41856)\/20)\/4)\/(2\/50000). What is g rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 14) + 1 + 10 - 1 - -107\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 82*v**2\/3 - 63886*v\/3 - 63968\/3 = 0.\nAnswer: -1, 31984\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9605\/8 + -1192. What is the common denominator of -45\/2 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -211 + 278.6. Let j = r - 68. Which is the nearest to -1? (a) -3\/7 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w**3 + 571*w**2 + 220*w + 421. Give o(-71).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 84 - 13*o + 20*o)*(-o**2 + o**2 - 3*o**2)*(1 - 3 - 2).\nAnswer: 60*o**3 - 1008*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 9. Let c(k) = k**2 - 12*k - 3. Let v be c(12). Let n(b) = b**2 - 4*b - 6. Let r(f) = -f. Let o(q) = v*r(q) - n(q). Let x be o(7). What is d(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2390471 is divided by 10129.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 10) to base 9.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*w**2*x**3 - w**2*x + 4*w**2 + 19*w*x**3 + 3*w*x**2 + 18*w*x + 64*w - x**2 wrt x.\nAnswer: 258*w**2*x + 114*w*x + 6*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/9 + (56\/(-3))\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(13\/2) + 213024\/546?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113 and 19354301?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*l + 3*h, -3*h = -4*l + 3 + 20. Solve -2*m = l*u, -5*u + 2*m = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -69*a**2 + 2*a + 1. Let x be d(-2). Let m = -6 + 22. What is the remainder when x\/(-6)*4\/6 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -14. What are the prime factors of (-1578)\/(-30) - b\/20?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 + 22*d - 70. Let p be f(7). Find the first derivative of -57 - 45 + p*w + 23*w - 60*w wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 12659205.\nAnswer: 12659205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/504 and 89\/735.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57089883911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 14*t - 68. Let b be h(-11). Let z(k) = 9*k + 8*k - k**2 - 53 + 5*k + 9. Calculate z(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.75 + -0.1.\nAnswer: 58.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2171 - 65149\/30. Let k = -299\/30 - -59\/5. Find the common denominator of k and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(420\/6) + 61242\/(-1180)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 46. Let c be w(21). Let a(q) = -5*q + 9. Let y be a(c). Let l = y - -29. Calculate the lowest common multiple of 12 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1031130 and 1145700.\nAnswer: 10311300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -476, -2492, -4518, -6566, -8648, -10776, -12962?\nAnswer: -15218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/56203680 and -121\/160.\nAnswer: 56203680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 101546 to the nearest 1000.\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28622861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 56?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6114 and -12.02?\nAnswer: 73490.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 280\/13 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -7*u + 144. Suppose 0 = -4*x + u - 0. Let o(l) = 3*l**3 + 9*l + l**3 + l**3 + x + 7*l**2 - 4*l**3. Give o(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i - 159. Let c be u(23). Solve -3*t + 10 = c*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -499, -765, -1049, -1357, -1695, -2069?\nAnswer: -2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 182?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/3 + 28\/(-4). Sort 4, u, -1, -3.\nAnswer: -3, -1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 98, 331, 694, 1187, 1810?\n\"Answer: 65*k**2 + 38*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 3*y**2 + y + 1. Suppose -270 = 5*h + 2*r - 6*r, -5*h - 5*r - 225 = 0. Let a = -47 - h. Is o(a) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 0 - (-5 + 102\/30). Let h be 4\/5 + 186\/(-195). What is the smallest value in -5\/4, h, m?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 0.3, 96.\nAnswer: -5, 0.3, 2, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 394200 to the nearest ten thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2615 = -8*g - 20*g + 2699 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 488, -52, -18?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x - 72. Suppose k - b = 2*k - 5, 3*k = 4*b + x. What is the least common multiple of k and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -49*q**3 + 13*q**2 + 2*q + 9. List the prime factors of a(-5).\nAnswer: 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (-2 - (8 + -11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - 37) + 7 + -6 + 5 + 3\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 63 = 3*w, 1498 = 152*y - 90*y - 2*w for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y = 0. Suppose y*l = 4*l - 12. Suppose l*r - 4*r + 6 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 634*h**2 + 55*h + 11. Let q(m) = -318*m**2 - 30*m - 5. Let g(v) = 6*l(v) + 11*q(v). Let i(a) = 61*a**2 + 2. Determine 2*g(j) - 11*i(j).\nAnswer: -59*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 137 times 2414\nAnswer: 330718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Suppose 3*k - 3 = 2*k. Let m = k - w. Let q(s) = -7*s. What is q(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 960 by -12.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-11) + (-98)\/308)\/(553\/1106)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417.7389 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 3, 46, -21, -1 in increasing order.\nAnswer: -86, -21, -1, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/17841 in -1\/4, -25, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -211*p**6 - 3*p**4\/4 + 6*p**3 - 40*p - 15204. What is the third derivative of h(c) wrt c?\nAnswer: -75960*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*sqrt(2057) - 4*(3 + sqrt(2057) + sqrt(2057))**2 - ((3 + (sqrt(2057) - (-3 + sqrt(2057)*2)))*2)**2.\nAnswer: -41320 - 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -92\/19*a + 0 + 2\/19*a**2 = 0?\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248423593 to the nearest integer?\nAnswer: 15761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 12*s - 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(8\/(-48)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48615726311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/8 + 256449*a\/2.\nAnswer: 3*a*(a + 341932)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 12:29 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - -40400255?\nAnswer: 40400314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**3\/2 - 29*o**2\/12 + 40*o\/3 + 4565. Factor k(l).\nAnswer: -(l + 5)*(9*l - 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(3\/18) + -1. Let j be 0\/g + 24 + 1. Suppose 0 = -2*o - 2*o - 4*c + 64, 0 = -o + 2*c + j. Calculate the highest common factor of 38 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/9)*i**(-7)*(i\/(i*i**4*i))**(12\/5))**(-12) assuming i is positive.\nAnswer: i**(656\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-4 - -1))\/1. What is the tens digit of (o - -1)\/(5\/190)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.14 (b) 1\/4 (c) 4 (d) -0.096\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6095236.\nAnswer: 2, 7, 217687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10467445?\nAnswer: 5, 2093489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 4*i + 42 = 32*p, -3*p - 5*i = -58. Solve 91 = 16*l + p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158 - -158.3. Let t = -3 + 3.5. Which is the closest to z? (a) -0.4 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5614600 and 8375.\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/18)\/(-2 + 45\/27). Let r = 152 + -1066\/7. What is the closest to r in 0, 0.2, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqaageeaqpqt. What is prob of sequence pe?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 34888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13\/5 (b) 0 (c) 0.06 (d) -27 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 522285843 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 123*u + 1824. Determine j(-16).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qra when three letters picked without replacement from {q: 5, n: 5, l: 2, a: 5, r: 3}.\nAnswer: 5\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45530)\/195)\/29 - (2 - 10).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v - 72 = -13*v + 72 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062157*b - 378156*b + 192750*b.\nAnswer: -1247563*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-1)\/(-40))\/(-3*4\/120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4390, -8463, -12214, -15637, -18726, -21475, -23878?\nAnswer: -25929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-77) + -6 + 532\/76.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2674759 is divided by 637?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 34. Which is the nearest to g? (a) 5\/4 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 0.5 (c) -1 (d) -25392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + 6*sqrt(76)))**2.\nAnswer: -2400*sqrt(19) + 68800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18))\/(-16*((-221)\/156 - -2))?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 165?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4\/3 + 2*r**3 - 10*r**2\/3 = 0.\nAnswer: -5\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*g**3 - 1301*g**3 - 1797*g**3 - 222*g**3 - 1446*g**3.\nAnswer: -4386*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260919*t**3 - t**2 - 331862*t wrt t?\nAnswer: -1565514*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(-4)*n)\/n)**(-7\/5)\/(((n\/n**(-4))\/n*n)\/((n\/(n\/(n\/((n\/n**(9\/2))\/n))))\/n)) assuming n is positive.\nAnswer: n**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 7*a + 39. Determine k(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 804653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**6\/33 + 2*g**5\/55 + 18. Find f such that i(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/1)\/(-3 + 5). Suppose -g + 3*g - 4 = o. Factor -5*s**2 - 2*s + 0 - s + g.\nAnswer: -(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:47 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 62\/341*21*6*(-88)\/(-336)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -99?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - r + 2*r**2)*(-31 + 31 - 16*r)*(0*r + 0*r + 2*r) to v*r**3 + d + l*r + x*r**2 + g*r**4 and give g.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 19.6. Let g = s - -39. Let h = -19.00026 + g. Round h to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 837 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2107 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 70. Let o be (-1 - 8) + -1 + (-5)\/(-1). What is the second smallest value in o, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80.7 + -81. Let x = 0.4 - 0.3. Let o = 1 - -2. Which is the closest to x? (a) g (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f**(-14))\/((f*(f**1\/f)\/f)\/f**(-5\/4)) assuming f is positive.\nAnswer: f**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*p + 2483796 + 1080806 = -949045. List the prime factors of p.\nAnswer: 29, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, j: 7}. Give prob of sequence gg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119*v - 984 - 801 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4741, -7949, -8095, -3649, 6919, 25139, 52541?\nAnswer: 90655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5\/2, 11 in decreasing order.\nAnswer: 11, -5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -0.24?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -395 and -396 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4490*z + 4491*z + 4 = 0, 4*z + 28 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/195 - (0 - (-23)\/(-5)). Solve -t*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 6*a**2 - 7*a - 4. Let k be w(-7). Let q = -1 - 2. Put 0.1, 1, q, k in decreasing order.\nAnswer: 1, 0.1, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6594.\nAnswer: 2, 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135\/209 - 917\/19. Let b = d + 49. Are b and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7891.\nAnswer: 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 3*r**2 - 2*r. Let s be c(-4). Suppose -t - 2 = -4*q, -4*q - s = -3*t - 2*q. Let p = 5 + 3. What is the lowest common multiple of t and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(16)*-2)\/sqrt(8) + 0)*-1.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -3 + 1 + 13. Suppose 0 = -2*s - s + 15, u + 15 = 3*s. Suppose h + 1 = u, v*h - 163 = -4*m + 4*h. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1387129*d**3 - 272270*d?\nAnswer: -8322774*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -12.7. What is the nearest to -1\/4 in -3, o, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 544302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/9 and -21\/1084658.\nAnswer: 9761922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -333*b*i*l + 10*b*l + 75*b - i*l with respect to i.\nAnswer: -333*b*l - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -66857 times -10?\nAnswer: 668570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31282301 plus -0.31?\nAnswer: -31282301.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14999 + 104994\/7. Let t = 1 + -6. Which is the closest to j? (a) t (b) 1\/2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6493*h**4 - 770*h**2 - 9038118*h wrt h?\nAnswer: 77916*h**2 - 1540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:56 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52.852 - -53. Let r = 0.058 - l. Let t be (-3)\/6 + 6\/(-4). Put -1\/2, r, t, 2\/7 in increasing order.\nAnswer: t, -1\/2, r, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxizzixzoiouiixuiz. What is prob of sequence xuui?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311232230000 - 11?\nAnswer: 1311232223323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - 3 - 3*o - 7*o**2 + 2 + 2*o**3 + 3*o**2. Let t be q(-3). Let p be t\/(-4)*4 + -1. Solve p*y = -3*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/5 (b) -1\/6 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*u + 108*u - 72*u - 3960 = 0. Is u at least -1206\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-47)\/(4*1\/85). Let q = y - -981. Calculate the common denominator of q and -2\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:16 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + -2 + sqrt(847) + sqrt(847) + sqrt(847))*-1*2)**2 + -3)*4 + -2.\nAnswer: 121954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196 + 0*w**2 + 0*w**2 + 213 + 47*w**4 + 2*w - 43*w**4 + w**3 to h*w**4 + i*w**2 + j + k*w + b*w**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 - 137 = -2*f. Calculate the common denominator of (-634)\/f + 2\/(-6) and -71\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 10*t + 4. Let m be n(-9). Let z(b) = 2*b + 15. Let g be z(m). Suppose -33 + 3 = -g*s. Solve l = -l - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -184, -322, -462?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 13*s**2 - 7*s - 8. Does 12 divide m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41904041.\nAnswer: 41904041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -51132.184 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2\/15 (c) -7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 86 - 568*w + 595*w + 0*w**2 - 88 - 28*w**3 + 176 to c*w + a + z*w**3 + o*w**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1899 (b) 5\/3 (c) 6 (d) 2\/9 (e) 0.4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1049*i**2 + 45*i - 44*i + 1051*i**2 - 29*i.\nAnswer: 2*i**2 - 28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 5*f**2 - 2*f**2 - 2*f**2. Let n be w(3). Let a be 1 - (1 - n\/12). Is a greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5878701511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-175.\nAnswer: 87.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/14 - 251\/126. Are -3 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -16 - (5 - (4 + -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3285*o - 3283*o - 24 = -5*m, 72 = 17*m + 2*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.87 - -1. Let s = 0.1299989 - k. Round s to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27772 divided by -4\nAnswer: 6943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9 = p. Put 4, p, -4 in descending order.\nAnswer: 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b - 11. Let g be 1\/((-17)\/(-8) - 2). Suppose 3 = 2*u - 1. Let d(m) = 3*m - m + u*m - 5 + 1. Determine g*d(q) - 3*o(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 129*o + 2810. Give c(-22).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4074 = -959*a + 17024 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/60 - 3*m**4\/8 - m**3\/3 - m**2. Let b be c(-6). Suppose -f = 3*f - b. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5\/21, 4\/7, -0.3, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16441*t**5 - t**4 - 2*t**2 + 788458*t.\nAnswer: -328820*t**3 - 12*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -4\/5, 447, -1\/2, -0.2 in decreasing order.\nAnswer: 447, 0.05, -0.2, -1\/2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + 101?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/6 - 77*v**2\/3 + 267*v\/2 + 159.\nAnswer: -(v - 6)*(v + 1)*(v + 159)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 8, -1948, 147\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 3. Let w be r(0). Let k = w - -6. Suppose 3*s - k = -3. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/2)\/(7\/(-14)). Factor 0*m**5 + 0*m**4 - 13*m**4 + 15*m**3 - 9*m**2 + 3*m**w + 2*m + 2*m**4.\nAnswer: m*(m - 1)**3*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 12 + l + 12876*l**3 - 12870*l**3 + 28*l**2 as i*l**2 + g*l + j + f*l**3 and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/6)\/(1\/(-3)). Suppose 0 = 17*i - 419 + 300. What is the highest common divisor of i and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67460 - 67459.7. Suppose 0 = -5*t - h + 1, -t - 15 = -0*t + 4*h. What is the nearest to t in -1, p, -11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 4. Calculate t(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at least as big as -9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 1815?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 + 168*f + 42. Calculate the remainder when r(33) is divided by 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171 - 181. Is (x\/20)\/(1\/(-38)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82, 172, 322, 532, 802, 1132?\n\"Answer: 30*c**2 + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39222686 + g**3 - 39222686.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - j**2 + 39*j**3 - 5*j - 38*j**3 - 1. Let z be h(0). Let b(r) = -6*r**3 + r**2 + r. What is b(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8644209g to tonnes.\nAnswer: 0.0000008644209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.19 - -1.19. Let y = 4 + a. Sort -3, y, 2 in increasing order.\nAnswer: -3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2135\/(-490) + (3 - -1) and 103\/1494?\nAnswer: 10458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 13 - k - 6.\nAnswer: k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - v + 1. Let a be m(-1). Solve -2*s - 3*s - 4*c - 4 = 0, a*s - 2*c + 24 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 18*r - 15. Let t(i) = -6*i + 5. Let g(a) = -11*t(a) - 4*w(a). Let v be 1 + 3 + 10*-1. Does 9 divide g(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*t**2*y**3 + 175*t*y**3 + 10*y**3 + y**2 - 3*y with respect to t.\nAnswer: 22*t*y**3 + 175*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Let v(z) = -137 - 12*z**2 - 3*z + 13*z**2 + 273 - 134. Let y be v(a). Put y, -16, 0.3 in increasing order.\nAnswer: -16, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4, -p + 7 = 4*q + 39. Let i(l) = -14*l - 128. Calculate the remainder when i(p) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 42*i + 101. What is m(44)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**2 - 4*j - 5. Let a(h) = -1 - 14*h**2 - 20*h**2 + 33*h**2. Let y(l) = -2*a(l) + v(l). Give y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 29140.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t - 29 = 5*z, -3*z = 2*t + 11. Let n(h) be the second derivative of 1\/6*h**3 + h**t + 0 + 2*h. What is n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 25 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**3\/6 + l. Let a(d) = 11*d. Let s(w) = -13*w - 73*w - 2*w. Let v(i) = 33*a(i) + 4*s(i). Give v(g(j)).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17182 divided by 6.\nAnswer: -8591\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3783*c**4 + 1513 - 17*c**4 + 1576*c**4 - 2386*c**4 + 4333 wrt c?\nAnswer: -18440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + v**2 + v + 1. Let u be x(2). Let r = 356 - 198. Suppose u = -3*w + r. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295152443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 7*w**2 - 3*w - 5. Suppose 4*g - 74 = -2*n, 5*g + n = 3*n + 79. Let q = g - 1. Calculate the remainder when o(5) is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/30153 and 17\/12144?\nAnswer: 5306928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51*k**2*p + 2*k*p + 17*p - 14 wrt k?\nAnswer: -102*k*p + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*i - 60229 = 1112*i + 1000*i - 201*i for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-3))\/(8\/(-36)). Suppose 6*p - y = 3*p. Suppose -4*r = 3 + 1, 4*a + 5*r + p = 0. Solve f = -2*s - 5, 3*s - 5*s - 2 = a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*k*w**2*y - 5*k*w**2 + 920*k*w*y**2 + 2*k*w + 187*k - 2*w**2 wrt y?\nAnswer: 12*k*w**2 + 1840*k*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 39. Let z = 0.728 + -6.728. What is the second smallest value in h, 12, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 11*g = 20*g + 35. Let t(q) = q**3 + 9*q**2 + 16*q + 15. Calculate t(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.76 * -0.163.\nAnswer: -0.12388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 2*d + 7*d - 4*d. Let g(b) be the third derivative of -b**7\/1260 + b**4\/24 + 2*b**2. Let c(t) be the second derivative of g(t). Give c(q(p)).\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 6*w**2 - 7*w - 1. Let y be x(7). Let l = -120 - -133.1. Let h = 12.1 - l. Which is the closest to y? (a) -3\/2 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3344*i**2 - 66*i + 147 + 363*i + 3*i**3 + 3497*i**2.\nAnswer: 3*(i + 1)**2*(i + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 408779233 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1993.4 - 10.7.\nAnswer: -2004.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 + 1452*z**3 - 402*z**3 + 143 - 651*z**3 + 1637*z**3.\nAnswer: 2036*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c, -5*c + 6 = t + t. Suppose -9 = 3*w + 3. Let b = 3 + -5. Put t, w, b in decreasing order.\nAnswer: t, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15*(383\/3 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/7*(-9261)\/2646.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/8 + -33\/56. Let x(z) be the second derivative of 0 + z + 1\/10*z**5 - 8\/21*z**4 - m*z**2 + 11\/21*z**3. Solve x(k) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcff when four letters picked without replacement from ucufffcfccffcffu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20*((-21 - -4) + 20). Suppose 25 = -5*j, -t - j + 35 + 0 = 0. Calculate the greatest common divisor of z and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 5)*4*-1. Suppose -d + h = -5*v, -2*d - 3*v + 8*v + 11 = 0. Suppose 0 = -2*n - 4*x + 10, d*n - x = -12 + 34. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 520*t. Let b(l) = 217*l. Let n(c) = -12*b(c) + 5*z(c). Let r(x) be the second derivative of -2*x**3 - x. Calculate r(n(i)).\nAnswer: 48*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k + 39 = 0. Let o = 20 - 20. Suppose o = 6*z - 1009 + 151. Calculate the highest common factor of k and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/96)\/((-27)\/270)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11966 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v. Suppose 27*r - 30*r + 42 = v. Let c be ((-27)\/(-6))\/(3\/28). What is the highest common divisor of r and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17522?\nAnswer: 2, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 37*h**7\/21 - 401*h**3\/3 + 194*h**2. Differentiate r(k) with respect to k.\nAnswer: 1480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.89 + -0.11. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73\/106 - -79693\/742. Let h = y - 107. What is the nearest to h in -7, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*d + 60 = 0, -p - 2*p + d = -80. Suppose 0*m = 5*m + p. What is the second biggest value in -3\/5, 4, m?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3217547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/((-441)\/(-7938))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + b - 3 = 0, 3*f = 5*b + 88 - 91 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8.3 * 0.2946\nAnswer: -2.44518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -828*o - 30691. Determine w(-34).\nAnswer: -2539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 6732*d - 20160.\nAnswer: -4*(d - 1680)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2220*n + 92512 + 45953 = 495*n for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 24?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n - 10 = -40*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 364\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)*2)\/sqrt(11) + sqrt(60))\/(sqrt(12) + (-2*sqrt(132))\/sqrt(11)) - (-2*sqrt(1600))\/(sqrt(5) + (sqrt(180)*-2 - sqrt(180)) + sqrt(5)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*n = 634 - 2018 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 28 = -5*u, u - 5*h - 7 + 17 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(-3*sqrt(325)*-1 + sqrt(325) + 3 + sqrt(325) + 1 - (5 + -4 + 0 + sqrt(325))))**2.\nAnswer: 9600*sqrt(13) + 416720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**2 - 16*t + 16. Let r(b) = b**2 + 4*b - 4. Let p(s) = -2*l(s) - 9*r(s). Let a be (7\/(-2) - -1)\/(34\/(-68)). Give p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8592040 divided by 8.\nAnswer: -1074005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -13?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/40 - 4587\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.4, -1286 in increasing order.\nAnswer: -1286, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 + 113*j + 2*j**3 - 9*j**2 + 3.\nAnswer: 2*j**3 + 113*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let n be (2\/(-4))\/(1521\/(-12)). Let u = n - 1531\/2535. Which is the nearest to 1? (a) i (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-3)*(-37)\/185?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 22. What is the second derivative of j*i + 9*i + 0*i**3 + 2*i**3 - 4*i**3 wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5529 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**3 - 474*o**2 - 98*o - 97. Give k(95).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -942b91 (base 13) to base 9\nAnswer: -6456276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 - -101001111?\nAnswer: 100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.3 + -18. Let v = 231.5 - 233. Let r = v + w. What is the nearest to r in -4, 3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -14*r**3 + 26*r**2 + 54*r + 10. Let w = -110 - -104. Let u(t) = 4*t**3 - 9*t**2 - 18*t - 3. Let m(o) = w*b(o) - 20*u(o). Factor m(s).\nAnswer: 4*s*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 625*s**5 - 52984*s**4 + 2*s**3 + 502704*s**2 - 126*s.\nAnswer: 37500*s**2 - 1271616*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220176, -440348, -660520?\nAnswer: -880692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2372\/7 + -41849\/126. Find the common denominator of o and 6 - (1976\/1300)\/((-24)\/(-10)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*m - 2*n, 5*m = 4*n - 18 + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -312 and 0.4.\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36415998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xor when three letters picked without replacement from {o: 1, c: 1, r: 1, m: 4, x: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20167*i + 10087*i + 3157 = -10157*i for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(390)\/(sqrt(40)*-3))\/(sqrt(147) + sqrt(147)*1 + sqrt(147) + sqrt(147) + 1*(sqrt(3) - 2*sqrt(3))) + -3).\nAnswer: -15 - 5*sqrt(13)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -43221 (base 6) in base 4?\nAnswer: -1130131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 398441936 divided by -9718096.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333001023 (base 4) to base 10.\nAnswer: -258123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 6 - (-5 - -17).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151 + 162. Differentiate 37 + l + 29*k + 105*k wrt k.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 14, 3 in decreasing order.\nAnswer: 14, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(526\/5260)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 5 (b) 2\/19 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from etttjnc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - c - 40 = 0, 5*c + 10 = b - 0. Suppose 0*u = -2*u - b. Let i(o) = o**3 + 6*o**2 + 6*o + 9. Let q be i(u). Solve 0*x = -4*x + q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 528 + 3?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 25*c - 5. Is n(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q - 7. Let r(d) = d - 24 + q*d**3 - 2*d**2 + 24. Let g be r(1). Solve 0 = 3*f - g*v + 9, 0*f - 8 = 2*f - 4*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 229*p**3 - 15 + 1730*p**3.\nAnswer: 1959*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 13. Let y be o(-9). Let n be y\/(-10)*120\/3. Solve 4*w + 16 = 5*b - b, -n = -2*w - 4*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.7658 hours in seconds?\nAnswer: 3102356.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -6*x - 0. Factor -6*l + 3*l**3 - x*l**4 + l**5 + 25*l**4 + 2*l**2 - 11*l**2 + 2*l**5.\nAnswer: 3*l*(l - 1)*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -1141598?\nAnswer: 1141605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 1:00 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -c023?\nAnswer: -c022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 2*v**3 - v**3)*(0*v + 0*v - 2*v + 1).\nAnswer: 4*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1739 is divided by 127?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l + 26*l - 16*l - 10*l. Let g(b) be the third derivative of b**4\/8 - b**2. Determine m(g(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9672 divided by 744?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(2) + sqrt(2))**2 + ((sqrt(1620) - sqrt(20))\/sqrt(10))**2 + (sqrt(6) + sqrt(6)*1*-2)\/(sqrt(21)\/sqrt(175)).\nAnswer: -5*sqrt(2) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48.5 - 49.2052. Let v = -0.7 - z. Round v to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2872\/7 and -409 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 5*k**2 - 4*k + 2. Let v(j) = j**2 + 18*j - 36. Let t be v(-20). Calculate x(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1723.59 - 6591410.\nAnswer: -6589686.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1179)\/(-15) - (-9)\/(-15). Let f = 86 - h. Suppose 5*l + f = 28. What is the third smallest value in -0.2, -1, -1\/3, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -1\/4 (b) -2\/3 (c) -14.12 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*j, 4*p = 4*j - 2*j - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5148 and 202878.\nAnswer: 4463316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*x = -0*x - 31, 0 = -5*x + 15. Let k(h) = h. Let a(n) = 15*n - 4*n + 10*n - 22*n. Give w*a(b) - k(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l)**(-35) assuming l is positive.\nAnswer: l**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from vyyxyyjjyymmjvvymy.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-152)\/(-6))\/(2\/27). Suppose -3*x = -6*x + s. Suppose 5*y + 4*p + p = 110, 3*p - x = -5*y. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-72) - (-1 + 0). Let p = 31 - 23. Let l be 3 - -20*(-2)\/16. Which is the nearest to p? (a) r (b) l (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 840 divide 15374742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3878998172.\nAnswer: 2, 7, 47, 421081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 470404695 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000708 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*o - 1636 = 1262 - 168 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 511, 702, 907, 1132, 1383, 1666, 1987, 2352?\n\"Answer: w**3 + w**2 + 181*w + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 10 + 11)*(9*y - 4*y + 2 - 9*y).\nAnswer: -48*y + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, f: 1}. What is prob of sequence qfq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.98 - -14. Let y = 0.28 + q. Let o be (-1)\/(-3) - 14\/(-3). What is the second smallest value in -1\/2, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -348841\/180 - -1938. Let l = g + 109\/180. Let d = 1 + -2. Which is the smallest value? (a) 3 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(-3 + sqrt(425) + -1*(sqrt(425) + 0) + 3*2*sqrt(425) + -4))**2.\nAnswer: -6720*sqrt(17) + 245580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and -0.9725.\nAnswer: 1.26425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-368)\/322)\/(72\/(-28))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 20. Calculate the least common multiple of 2 and b(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160349307*u**4 + 360277092*u wrt u?\nAnswer: -1924191684*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*h - 632, -16*g - 5*h = -19*g - 1879. Let t = g - -1139. What are the prime factors of t?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 + -166. Let x be (-139506)\/(-9) + ((-80)\/d)\/8. What is x rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256*-5.\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 divided by -372?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86? (a) 1 (b) -4 (c) 3\/5 (d) 8 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 141*w. Let j(b) be the first derivative of b**4\/12 + 37*b - 53. Let d(l) be the first derivative of j(l). Give d(t(z)).\nAnswer: 19881*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - o + 29, -28 = -5*i + 3*o + 50. Let z(k) be the third derivative of k**6\/120 + k**3 + 3*k**2. Let d be z(0). Solve -d*w = -3*w - i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*5*2*(-5)\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143492, 142947, 142402?\nAnswer: 141857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 9 = -15. Let z be ((-1)\/3)\/(0 + 3\/l). Let k = -23 - -25. What is the smallest value in -7, 1\/8, z, k?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 - 13*i - 4. Let s be z(-6). Which is the fourth smallest value? (a) 5\/2 (b) -5 (c) s (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3 - 2*w**2 + 2*w - 1. Let j be z(1). Let c be j\/((-27)\/6)*6. Let x = -2 - c. Solve 15 = -s - x*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from leeemllwmlmemlle?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10)\/(19\/((-114)\/(-12)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3315*q. Let u(f) = 2268*f - 2. Determine y(u(o)).\nAnswer: -7518420*o + 6630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u + 2. Let h be n(-6). Let p(b) = -6 + h + 4 + b. What is p(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100101100010 (base 2) to base 16.\nAnswer: -2962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 58 and 4.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*q, 0 = 4*v - 4*q + 2 + 2. Suppose 0*d - v*d = -9. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -14*b + 128, 45 = -5*k + 32424*b - 32421*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 18499560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h*h)**(5\/3)\/((h\/h**(1\/3))\/(h\/(((h*h**(-2))\/h)\/h))) assuming h is positive.\nAnswer: h**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -11*y**7\/210 + 11*y**4\/24 - 21*y**2. What is the second derivative of c(z) wrt z?\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, -0.12, -0.1 in descending order.\nAnswer: 0.4, -0.1, -0.12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 62*a + 2. Let w(d) = -3*d. Give w(n(u)).\nAnswer: -186*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 218*b = 217*b - 105, -60 = -2*a + 4*b for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/12 - 3*u**2\/2 - 2*u. Let x be p(0). Let g(n) = 177*n - 5312. Let c be g(30). Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4928402 + 0.1147069.\nAnswer: -0.3781333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 5:40 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -957*11655.\nAnswer: -11153835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862304301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 209913.1kg?\nAnswer: 209913100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 598*s.\nAnswer: -598*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*d**5 + 17*d**2 + 14981*d.\nAnswer: 380*d**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/374 or -1?\nAnswer: 21\/374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -1 - 0. Find the first derivative of a**2 + 3*a**4 + 0*a**2 + f - a**2 wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -28*w + 26*w. Let x(l) = 2*l**2 + 8*l + 1. What is x(w)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.7. Suppose 288*w - 2 = 289*w. Let h be (-68)\/85*(-5)\/w. Put -7, 4, r, h in descending order.\nAnswer: 4, r, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 1 (c) 3091\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4889 is divided by 136?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/23, -1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2394\/55 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 11 = 11. Let n = -6 - y. Let t = 91 + -88. Solve -p + 3*q = -t*p - 1, n*p - 11 = -3*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/3 + 52*t\/9 + 2 = 0.\nAnswer: -1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 15. Let h be ((-4)\/c)\/((-2)\/6). Suppose -h*s = -9*s + 210. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + (-1 - -1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x - 1173 - 6*x + 14*x - x - 13 to the form p + d*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 + 1749384*q**3 + 1197892*q.\nAnswer: -24*q**2 + 10496304*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:50 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8128*z**2 - z**3 + 8128*z**2 - 836.\nAnswer: -z**3 - 836","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2241*n**2*u**2 + 2*n**2 + 3*n*u**2 - 5083*n*u wrt u?\nAnswer: 4482*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.014, -2\/11, 0, -2, -7.145, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -1\/7, 2 in increasing order.\nAnswer: -4, -1, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y + 5*v - 35, 5*y + 2*v = 0. Let r(j) = -j**3 - j**2 + 2. Let l be r(y). Let z = 10 - l. Let m(p) = p**3 - 5*p**2 + 4*p - 5. Determine m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-9))\/(1\/9). Let r be (u\/9)\/((-3)\/(-9)). Suppose -k + 8 = a, 4*k = 3*a + 5 - r. Solve -k*q - 5*g = -4, -4*q + g - 21 = -1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2 - (-210)\/100. Suppose 2*z + 5*h = -27, 5*z + 6 = -h - 4. What is the closest to z in -2\/11, a, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 2*r**2 - 2*r - 3. Let w be q(-2). Suppose 4*i + s - 3 = 3*i, 4*s = 12. Let y be (-2 - (i - 1))*-3. Solve -y*l - w = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y = -18*y + 2*l + 20, -5*y = 15*l - 20*l - 30 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 15\/4*x + 3\/4*x**3 + 3\/2.\nAnswer: 3*(x + 1)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, h: 7}. What is prob of picking 3 h?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2855, 22272, 75003, 177716, 347079, 599760, 952427, 1421748?\nAnswer: 2024391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -5 + (-5 + (5 - 1) - -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -11931\/869?\nAnswer: -11931\/869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*-3*sqrt(1053)*1)**2*3 + 2.\nAnswer: 255880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13)*-1*-3.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 9. Let k(d) = d**2 + 10*d + 45. Give -11*h(g) - 2*k(g).\nAnswer: -2*g**2 + 2*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7744 is divided by 121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.99 + 0.01. Let q = j + -2.9. Sort -0.3, 4, q.\nAnswer: -0.3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.27931 (b) 33 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1552 + -1550.217. Let q = l + 0.057. What is q rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 457364.61 minutes?\nAnswer: 317.6143125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 3*a**2 + 7*a - 74. Let v be q(5). Solve 0 = 4*u - 16, v = -i - 7*u + 10*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 41*a**3 - 86*a**3 - 2*a**2 + 43*a**3 - 12*a + 41. Let b be n(3). Which is bigger: -69 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28384 is divided by 25167.\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/7, 2, -0.2, 418\/571?\nAnswer: 418\/571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4125, -8246, -12367, -16488, -20609?\nAnswer: -24730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*g = -j - 7, 5*g + 4*j + 1 = 0. Which is bigger: g or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 5:20 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 18*g**2 - 4*g + 2. Let a(o) = -o**2 - o + 1. Determine 4*a(t) - r(t).\nAnswer: -22*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + i. Let b be m(2). Let p = 17 + b. Solve -3*a = -p, -2*s + 3*a - 24 = -9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-15))\/(6\/(-63)). What is the first derivative of 5*p**2 + 9 + 3*p**2 - s wrt p?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -32. Is k greater than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -5 + 7 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(-2*s + 0*s + s) - 19 - 6*s + 19 as u*s + r and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312 by 4.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -3*b**4\/16 + b**3 + 9*b**2\/8 - 27*b\/2 + 77. What is o in s(o) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 14 = -5*i, -165 = 4*p - i. Let z be (-168)\/p - (-1)\/(-5). Suppose 2*w + 2*w - 5*g - 5252 = 0, 5252 = z*w + 3*g. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 + -9 + 8 - 6 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 smaller than -5.87798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 854, 847, 836, 821, 802, 779?\n\"Answer: -2*d**2 - d + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpzpz. Give prob of sequence ppz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s - 20 = -2*c, -3*c + 2*s + 14 = 0. Suppose 0 = -c*j - 3*d + 164, 4*d = 4*j - 0*j - 308. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-21)*(12\/(-8) - 3). Suppose 365 - 110 = 5*h - 5*g, 5*h - 241 = -2*g. Suppose q*s - 53 = h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/3924505 and 161\/9418812.\nAnswer: 47094060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + -5*-4*sqrt(15)\/sqrt(3)).\nAnswer: -80*sqrt(5) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784\/7*v**2 + 1788\/7*v**3 - 1788\/7*v - 1786\/7 + 2\/7*v**4 = 0.\nAnswer: -893, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 46*k - 140. Let v be f(38). Calculate the greatest common factor of v and 17876.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3433 = 7*d + 3496 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 771*s + 15 = -759*s + 1527*s, -151*s - 308 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*g - 2, 0 = 4*g - 2*g - 10. What is the remainder when 36 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 1\/24*v**3 - 1\/48*v**4 + 0*v**2 - 2*v + 0. Suppose n(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48857, -48810, -48653, -48320, -47745, -46862, -45605?\nAnswer: -43908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g - 4. Let c(a) = -a**2 - 225. What is m(c(o))?\nAnswer: 5*o**2 + 1121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 684 = -413 + 17. Calculate the least common multiple of h and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.03, 0.3, -2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.1, 0.08, -0.04, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204755 and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6571009*q**4 + 12827899*q**2 wrt q.\nAnswer: -157704216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*f - 14 - 0, f + 12 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16731*m**3 - 14*m**2 + 2347846 wrt m?\nAnswer: -50193*m**2 - 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 - 293 = 110*t + 161 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.319069 rounded to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2. Let b(m) = 598*m - 65*m - 533*m + 2090*m**2. Determine b(g(l)).\nAnswer: 75240*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537439 is divided by 160.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p + 52*p + 6 = 0. Let q(m) = m. Let z(k) = 3*k - 3. What is p*z(c) + 2*q(c)?\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 341334 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1501479 + 1505777 + 5*s - 3007256.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -66234 (base 7) in base 10?\nAnswer: -16587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((4 + -3)*2\/(-2))\/1. Let f be b\/(-4) + 81\/(-36). Put -4, -6, f, -1 in decreasing order.\nAnswer: -1, f, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25394, -2, -4, -3, 1, -18 in descending order.\nAnswer: 25394, 1, -2, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.53 in 2\/11, -4\/9, -4, -0.13, -70?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 5) + 59 - -10 - 11?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.34\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncve when four letters picked without replacement from nevcefyy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00504978 rounded to four decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45513 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u**3 + 1189642*u**2 - 1189642*u**2.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3)\/x)\/x*x**(1\/4))\/((x\/(x*(x\/(x\/(x*x\/(x\/(x\/(x*x*x\/(x\/(((x\/(x*x**1))\/x)\/x)))))))*x)\/x))\/(x\/(x**(-1\/11)*x))) assuming x is positive.\nAnswer: x**(265\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8430 (base 16) to base 15.\nAnswer: a060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 62. Solve -3 = v*r + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24644 is divided by 2452.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54335, -108671, -163007, -217343, -271679, -326015?\n\"Answer: -54336*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -14*f. Let j(w) = w. Let v(r) = -r**2 - 10*r - 17. Let a be v(-7). Suppose 11 = -5*y - a*c, -5*y + 2*c = -2*c - 21. Give y*q(p) + 8*j(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/3 - 458*h**4 + 119602*h**3\/3 - 429118*h**2 - 1021380*h = 0. Calculate h.\nAnswer: -2, 0, 15, 87, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26a9c - 5?\nAnswer: 26a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -676*-0.3\nAnswer: 202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1455167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*u - 2 - 0, -4*u = -4*a + 4. Let x = -4 + 7. Let -51\/4*z**3 - x*z + 0 - 15*z**a - 3*z**4 = 0. Calculate z.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-80)*-4 - (-342)\/8. Solve 22 = -16*m - f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + d + 0)*(7704*d**2 - 7705*d**2 + 20 + 20) in the form r + k*d**3 + b*d**2 + z*d and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 10*l**2 - 5*l - 46. Let p be c(9). Which is bigger: -16 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 431 + 471 = 5*f, -r + 5*r + f = -19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 82 and -0.2.\nAnswer: 81.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -12. Let p(i) = -3*i. Let w(o) = -10*o - 1. Give h*p(j) - 2*w(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 7, 39.\nAnswer: -5, 7, 13, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156 - -985. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 746\/11 - 68. Let k = 1 - 2. Which is the nearest to -1\/3? (a) z (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (188*s + 250*s - 100*s)*(4 + 6 - 3) + 1 + 0*s + s + s + (-2*s + 1 - 1)*(-4 + 0 + 3) + 2*s - s + s - 2*s - 1 + 1.\nAnswer: 2370*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -302, -235, -116, 67, 326?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/17 (b) 5 (c) -4 (d) 276 (e) 1 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*l**2*u + 9*l**2 + l*u - 123*l - 21*u + 1004388 wrt l.\nAnswer: -10*l*u + 18*l + u - 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1024 - 1021. Put r, 0.1, -1, -6, 2\/7 in ascending order.\nAnswer: -6, -1, 0.1, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-61091\nAnswer: -61090.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 - -115. Which is the nearest to w? (a) -2 (b) 2\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*d**2 - 7*d**2 - 2*d**2 - 7*d**5 + d**2 wrt d.\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -875 divided by 35?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59.11 and 0.095.\nAnswer: -5.61545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*r + 2*t = -8, -4*t = -4*r + 16. Suppose -3*j + 14 + 1 = r. Suppose -j*i = 2*z + 315, 3*i - 4 = -13. Round z to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*15\/300*-36?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 1 e when three letters picked without replacement from pwpepmop.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-46)*2 - (90576\/59570)\/(-51).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 145110.\nAnswer: 1\/72555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583474718?\nAnswer: 2, 23, 59, 214987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684137 to the power of 1\/2, to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*d + 98. Let r = d - 21. What are the prime factors of r?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 5:04 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, 2, 9 in descending order.\nAnswer: 9, 2, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836*r = 696*r + 56684 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 8:34 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320120270 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/87 at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -5 (c) -2\/9 (d) 11370\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5845\/528 + -122\/11. Let k = 1093\/48 + j. Let c(h) = -h**3 - 96*h**2 - 2075*h + 132. What is the common denominator of c(-33) and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Determine s(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1833235 by 7801.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.6 + -2.4. Let i = w + 9.4. Which is the nearest to 2? (a) i (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1053) + 1 - sqrt(1053))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-600)\/28*539\/(-385)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 44 = -f, 0 = -4*f + 24 - 16. What is the highest common factor of 61 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1 (c) 4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-115)*5)\/(-1). What is the second biggest value in k, -24, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264896 > 3443666\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -5*l + 2*l. Suppose 79 = 5*v - l. Calculate the remainder when v is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29561 - 29560.99980003. What is t rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/40 and 89\/1020632.\nAnswer: 5103160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*((2*sqrt(5082)*-3)\/(sqrt(3456)*2))**2.\nAnswer: 4235\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 30 = 0. Suppose 2*i + 3*u = t + 5, 4*i = 2*u - 10. Let h be -2 + -1*(i - -3). Put 0, h, -6 in descending order.\nAnswer: 0, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -27. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/4 (b) 1 (c) 9306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = g - 13, -5*r = -4*g - 85. What is the third derivative of -r*a**2 + 15*a**3 - 119*a + 119*a wrt a?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*p**2*w*y**2 - p**2*y**2 + 2*p*w*y**2 + 2*p*w + 26*p*y**2 + 3*w*y**2 wrt p?\nAnswer: -68*w*y**2 - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.52 - 0.48. Which is the nearest to 22? (a) 0 (b) y (c) -2\/9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 9, f: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 z, and 2 t when four letters picked without replacement from {t: 6, o: 4, d: 4, z: 4, c: 2}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {q: 2, u: 1, i: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 18*q**2 + 30*q - 10. Calculate k(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6816 or -6819?\nAnswer: -6816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = -2193160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: -25*47\/(18800\/(-96))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhyyhhhhyy. Give prob of picking 1 h and 1 y.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/((-1740)\/70)*(-4)\/(-63).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4\/8 + 33*f**3\/8 + 15*f**2 + 21*f\/2 = 0. Calculate f.\nAnswer: -2, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 17\/26 (b) 0.2 (c) 9 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5965968*g**2 + 7030575.\nAnswer: 11931936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -45. Let j = x + 9. What is the units digit of -105*(j + 0 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-5))\/(13*(-44)\/1430)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyfyyyyyyy. Give prob of sequence fyy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -729*c**3 - 2 + 2 + 730*c**3 + 4*c**2. Let n be k(-4). Suppose d - 376 - 619 = n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 16*q**2 - 2017*q - 38918. Give o(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - -3703c8?\nAnswer: 3703ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -13. Let v(d) = 1. Let r(u) = 3*u - 2 + u - 1 + 21*u**3 - 16*u**3. Let b(m) = 4*m**3 + 3*m - 2. Let x(n) = 4*b(n) - 3*r(n). Give o*v(y) + 3*x(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/152 and 45\/4.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**3 - 12*n + 12*n + (-n**2 - 6*n**2 + 4*n**2)*(6*n + 0*n - 23*n) + 0*n**3 - 3*n**3 - n**3.\nAnswer: 39*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 27*m + 8. What is s(14)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -605*z + 1187. What is r(2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 17*c**2 - 19*c - 6. Let o(p) = 23*p**2 - 19*p - 6. Calculate -4*a(s) + 3*o(s).\nAnswer: s**2 + 19*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28077.474 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62, -64, -66, -68, -70, -72?\n\"Answer: -2*n - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.579 + -0.079. Let n = 23 - y. Which is the second smallest value? (a) -1\/4 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.17 - -7.17. Let w = 5 - r. Let x = -13 + 23\/2. Sort -1, x, w in descending order.\nAnswer: -1, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 21. Let v = -8 - q. Factor 9*b**4 - v*b**5 + 6*b**3 - b**2 - 9*b**4 - 3*b**2.\nAnswer: -2*b**2*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7*q - 4\/7*q**2 + 0 + 4\/7*q**4 - 8\/7*q**3.\nAnswer: 4*q*(q - 2)*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 10) to base 16.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6448, -12894, -19340, -25786?\nAnswer: -32232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 3, k: 1}. Give prob of picking 1 s and 1 g.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*-11*14\/(-1155)*18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(4 + sqrt(128) + (sqrt(128) + -1)*4)**2*5.\nAnswer: 31999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*(20\/(-4))\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 1:16 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(2\/85))**(1\/5) assuming y is positive.\nAnswer: y**(-2\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.514 + -0.814. What is the second smallest value in m, -6\/31, 0?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74244*f - 1334 = 74215*f for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -43*x**2 + 19*x - 100. Let k be d(-15). What is the greatest common divisor of k and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/2145 and 61\/8866.\nAnswer: 132990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(0 + 3 - 6) - 3 - 1 + 5)*(2 - 2 - 2)*(3*l - 2*l + l).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2900281429, 2900281430, 2900281431, 2900281432?\nAnswer: 2900281433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -62*(-3 - 2)\/10. Factor -x**4 + 20*x - x**3 - 28*x**2 - 17*x**2 - 4*x**4 + a*x**3.\nAnswer: -5*x*(x - 4)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -8.648779.\nAnswer: -3.648779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 + 2 = 0. Suppose -o*h + 165 = 2*h. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202121 - -11221022?\nAnswer: 102200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzcyzzwccwql. Give prob of picking 2 c, 1 w, and 1 y.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444731145 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 462, 690, 916, 1140, 1362?\nAnswer: 1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 33. Let s be n(-16). Solve -19 = -3*d + 4*c, 3*d - 6*c = -3*c + s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*d + 18 - 315 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + n + 4*n = 0, -4*m = -5*n - 27. Solve 2*x = -m*l - 0*x + 14, -l + x - 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081009.\nAnswer: 151, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 210 - 13?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1.2. Which is the nearest to 1? (a) -4 (b) m (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 31. Let q(y) = 2*y**2 - 26*y + 5. Let b be q(13). Suppose -4*z + 2*z = 2*x - 44, -3*z + b*x = -82. What is the lowest common multiple of j and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -5, 10 in decreasing order.\nAnswer: 10, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -25 - 3 - ((-3)\/(-3))\/(-1). Let n(d) = -3*d**2 + 7*d - 2. Let v be n(5). Let y = j - v. Solve 0 = 5*i - 4*o - o + y, 2*o = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -0.139\nAnswer: 0.00556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/8 of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 50 = 18*x - 8*x, -16*x - 98 = -5*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c)**32*(c\/(c*c*c**(-1\/25)))**13 assuming c is positive.\nAnswer: c**(2088\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1687*q + 142. Let f(y) = -2*y. Let g(r) = 5*f(r) - w(r). Is g(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/8 and -65\/7588726?\nAnswer: 30354904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -85260 divided by -203\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.3821687 rounded to one decimal place?\nAnswer: 128.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 259*s + 12 - 2*s**2 - 259*s as l + r*s + u*s**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*f + 119 = -3*i - 0*i + 211, 0 = -54*i - f + 977 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*w**2 - d*w + 2033*d - 3836*w**2 - 13 with respect to w.\nAnswer: -4*d*w - d - 7672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8*g + 10. Is 14 a factor of n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m. Let r be n(0). Suppose r = d + 4*d + 15. Let k be 1*5 + 1 + d. Solve 0*o - k*o = 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2222 and 512777?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -392, -943, -1790, -2975, -4540?\nAnswer: -6527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 7*b**2 - 39*b - 195. Let s be h(-6). Solve 0 = s*r - 87 + 108 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3534140 and 4150?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 10 + 3 - 8*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, v: 4, f: 3}. What is prob of sequence vf?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/42 and -59\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u**3 + 2*u**2 - 32 + 33 + 4 + 40 + 12.\nAnswer: -58*u**3 + 2*u**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 14*z**2 - 2*z - 26. Let n be a(-14). Suppose 5*t - 46 = -3*l + 44, -3*t - 79 = -n*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -40 - -40 - 4*-1. Suppose -y*c = 1018 + 66. Which is smaller: -270 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39.7? (a) 5 (b) -0.5 (c) 0.099 (d) 0.4 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, h: 2}. Give prob of picking 2 h and 1 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103149831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**3*d)*d*d**(-3\/5))\/((d**(-2\/5)\/d)\/(d*d**(-4))))**(4\/15) assuming d is positive.\nAnswer: d**(-28\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 158 = 5*g, 3*r - 3*g = 67 + 170. List the prime factors of r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 7. What is the units digit of -4 + 4 + 0\/u + 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4374000 rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15257, -30433, -45529, -60545, -75481?\nAnswer: -90337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6 - 4*l - 3*l + 0*l. What is the remainder when 30 is divided by g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2\/10)\/(24222\/(-3670))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35269621 is divided by 247?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t - 5. Let r(j) = 101*j + 47. Let o(l) = 35*l + 16. Let x(a) = -17*o(a) + 6*r(a). What is 7*b(z) + 4*x(z)?\nAnswer: 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 895, 2007, 3569, 5587, 8067?\nAnswer: 11015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0*k**3 + 0*k**4 - 6*k + 13\/2*k**2 + 0 - 13\/30*k**6 + 0*k**5. Find the first derivative of o(z) wrt z.\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*530334\/(-49105)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -451, -3613, -12219, -28999, -56683?\n\"Answer: -455*o**3 + 8*o**2 - o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2472 divided by 2\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*s**3 - d**2 + 913*d*s**3 - 9*d - 2*s**3 - 568675*s wrt d?\nAnswer: 2*d*s**3 - 2*d + 913*s**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwk when three letters picked without replacement from {k: 2, w: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -702*s**2*t**4 - 2*s**2*t - 30*s*t - 133*s + 688*t**2 - t + 1 wrt t.\nAnswer: -8424*s**2*t**2 + 1376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*x**4 + 85*x**3 - 30*x**2.\nAnswer: 5*x**2*(x + 2)*(10*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*s**2 + 96*a - 592806*s**2 - 3650 wrt s?\nAnswer: 4*a*s - 1185612*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3 = -i, 39*i - 42*i - 11 = -5*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-3 + 5*(sqrt(1872) - (sqrt(1872) + (sqrt(1872) + sqrt(1872)*-1 + sqrt(1872))*-3)))*6 + -2)**2 + 0.\nAnswer: -43200*sqrt(13) + 15163598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78404.5 millennia to years.\nAnswer: 78404500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 742995378 divided by -6\nAnswer: -123832563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -11248?\nAnswer: 15\/11248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnmgjwwwjnnjwmgw. What is prob of picking 1 n and 1 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 100*d**2 + 20*d + 1 = 0.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5\/4 - 60*w**4 + 10043*w**3\/4 + 60*w**2 - 2511*w = 0.\nAnswer: -1, 0, 1, 54, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) - (-16)\/6. Let y(c) = -c**3 + 7*c**2 - 6*c + 4. Let f be y(6). Let l = f + n. 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: -121 (base 5) to base 2\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 20 = -4*v. What is the first derivative of 52 - v - 7 - 8*l**3 - 19*l**3 wrt l?\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.11 - 0.89. Let w = -0.76 - -0.7. Which is the third biggest value? (a) w (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -17*x + 8*x + 7*x - 7. Let m = 27 - 22. Let g(r) = r + 3. Calculate m*g(n) + 2*j(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-520)\/50 - (-3)\/(-5). Let u(c) = -3*c - 6. Let i be u(o). Let p = 46 - i. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037588111 rounded to six dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/3059 and 50\/133469.\nAnswer: 2535911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 11*q - 18. Let f be h(-7). What is the third derivative of 10*d**2 - 130*d**3 - f*d**5 + 130*d**3 + 6*d**4 wrt d?\nAnswer: -180*d**2 + 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6940 is divided by 4774.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 10:03 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffffffffffsff. Give prob of picking 1 s and 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 0*w**2 - w + 1 + 4*w**2 + w**3 + 0*w. Let n be z(-2). Solve -h + n = p + 2*p, -15 = -5*h + 2*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h - 28*h + 21*h**3 - 23*h + 81*h.\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - z + 4*z**2 + (3 + 3*z - 3)*(-3*z - z + 3*z) + (-z - 2*z + 2*z)*(-z + 2*z - 2*z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -17, 1205931 in increasing order.\nAnswer: -17, 18, 1205931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 less than 2.169201469?\nAnswer: -30.830798531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 4*w = 12, 5 = u - 2*w - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 2*h**3 + 20 - 39.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2484\/(-20) - 9\/(-45). Let v = q + 261. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0 + (0 + 15 - 1)*(-4 + 0 + 3))*(0*u**3 + 3*u**3 - u**3) to n*u**2 + j*u**3 + s*u + h and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164242 (base 7) to base 13.\nAnswer: 11b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 + 0.2. Let w = 0.4 - k. Let v = 54 + -57. Sort 2, v, w in increasing order.\nAnswer: v, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/12 + a**3\/2 - a**2\/2 + a. Let v = -81 + 77. What is the units digit of c(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -284.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1051130?\nAnswer: -1051132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 16) to base 9\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.96 (b) 14 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 25*p**2 - p - 21. Let a be v(-25). Let y(k) be the first derivative of 1\/20*k**a - 1\/5*k + 5 - 1\/5*k**3 + 3\/10*k**2. Solve y(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or 1\/66?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 457804, 915609, 1373414?\n\"Answer: 457805*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 21*a - 20. Let c be t(-1). Solve -j = -i - 4, 7 = -j - c*i + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -4*a, -4*f = -a - a - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 275197 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 37. Which is smaller: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4\/3 - 118*y**3\/3 - 422*y**2 + 3666*y - 6084 = 0?\nAnswer: -39, -26, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117*t**3 + 126*t**3 - 567*t**3 - 6 + 50 - 2.\nAnswer: -1558*t**3 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 560\/42*(-18)\/(-8). Let m(q) = 109*q + 1. Let b be m(1). Let v = b - n. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35378, -141317, -317898, -565121, -882986, -1271493?\nAnswer: -1730642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 907406810+-0.4\nAnswer: 907406809.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = 3*i - 498. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 11. What is the units digit of j(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 0*q**3 - 2*q + 0*q**5 - 13*q**2 + 1\/30*q**6 - 4 + 1\/4*q**4. What is the first derivative of o(c) wrt c?\nAnswer: 4*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4894 and 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/714*-471 + -11.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/(sqrt(9) - sqrt(36)) - (0 + sqrt(5))*1) + -3)**2 - (sqrt(80) + 3 - 1*(-3 + sqrt(5))).\nAnswer: 9*sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 + 31608*h + 1373715288.\nAnswer: 2*(h + 86922)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 26*x - 2729 = 27*x, 0 = 3*x - 3. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5536 is divided by 1841?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5881 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n - 5 = -4*u, 3*n - 1 = u. Let r be (-1)\/u*(-77 + 1). Calculate the greatest common factor of r and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + 0 + -29 + (1 - 0) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txtx when four letters picked without replacement from xtxtt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.27093 weeks in seconds?\nAnswer: 36451858.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232156 is divided by 184.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 677*l**2 + 112.\nAnswer: 677*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13554 is divided by 13553.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1. Let p be d\/(-36) - (-6)\/27. Let b be ((-168)\/504)\/((-5)\/3). What is the second biggest value in p, 4, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*h + 7047 + 15071 = 7718 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 + 6*r. Let q be d(-3). Suppose -2*k = -7*k + 5*j - 70, q = k + 4*j - 6. Which is smaller: k or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10376.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 1\/3*b**3 + 0*b**2 + 16 + 0*b. Let u(d) = 3*d. What is u(r(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 16*j + 29. Let s(c) = -c**3 + 20*c**2 + 93*c + 66. Let h be s(24). Give a(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a (base 14) to base 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -333\/874 + 6\/19. Is t less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5573, 5574, 5575, 5576, 5577?\nAnswer: 5578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -15*b**4\/4 - 5*b**3\/3 + 11*b + 4. Let y(h) = 3*h**3 + h**2 - 2. Determine -2*r(x) - 11*y(x).\nAnswer: -3*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2944 and 24196.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*x + 6 = 0, 4*x - 7 = -3*m + 5. Let h(k) = -k + 13. Suppose 16 = u + 3*u. Let g(v) = -1. Let i(z) = u*g(z) + h(z). What is i(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 15 - 17)*(4*n**2 + n**2 - 3*n**2)*(-14*n + 9*n**3 + 14*n).\nAnswer: -378*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38967853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 519 = 2*y - 2*r, 4*y - 988 = -4*r. Let l be 9\/54 + y\/12. Let k be 33 - (l\/14)\/(1\/(-2)). What is the greatest common factor of 54 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -246 + 252. What is the greatest common factor of x and 282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 472.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2641*p - 2647*p - 276 = -5265*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120000 divided by 15?\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1363733 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -3)\/(2*3\/3). Suppose b = -2*p + 68412849 + 23187151. Round p to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15186650 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7\/l*l*l**(2\/3)\/l)\/(l*(l**9\/l)\/l*l\/((l\/((l*l**(5\/3))\/l))\/l)))**29 assuming l is positive.\nAnswer: l**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5*c = -4 + 23, -2*c - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16181 and 99.\nAnswer: 145629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12*((-796)\/(-112) + -7)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 30*p**2 + p - 1. Let r be k(-1). Suppose -33 = -4*x + 3*w, w - 2*w = 3*x - r. What is the units digit of 120 - ((-4 - x\/(-3)) + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 671448, 1342901, 2014354, 2685807?\n\"Answer: 671453*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -3) + 1 + (-1 - -4). Suppose 2*r - r - 38 = -d*n, -4*n = -r + 38. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5109\/550 - 3\/275. Find the common denominator of 81\/218 and v.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -25\nAnswer: 66\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 1 - 1)*(-4 - 1 + 15) + 0*y**3 - 5*y**3 + 4*y**3 + (-4 + 0 + 6)*(y**3 + y**3 - y**3).\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 590 + -599. Let x be ((-63)\/m - 5)*12. What is the greatest common factor of x and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 182 = b, -5*t = 3*b - 5*b + 403. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2112?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*g - 23309 = -10269675 - 5936998. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-4))\/((-4)\/(-16)). Which is the biggest value? (a) f (b) 0 (c) 0.3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 r when three letters picked without replacement from {p: 3, r: 1, d: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -28*f + 173. Let b be n(6). Let k be 1*(-4)\/(-6)*(-12)\/(-1). Solve b*d + z = -2*z + 20, -2*d + k = -z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/59 + -128\/295. Let s = 421\/4389 + -2\/399. Let m = 2 - 3. Which is the closest to m? (a) s (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3914*q**4 - 2368*q**4 + 1150*q**4 + (0 - q**4 + 0)*(-1 - 3 + 5).\nAnswer: 2695*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8719375762 and -286.\nAnswer: -8719376048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -121111210020 (base 3) in base 12?\nAnswer: -138096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2774380 is divided by 850.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -139 and -46.51?\nAnswer: 92.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**6\/144 - b**5\/120 - b**4\/6 - b**2. Let u(f) be the second derivative of r(f). Does 29 divide u(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -91. Let o = b + -35. Suppose o = 11*p - 30 - 14. Solve -2*f + 10 = -p*u + 5*u, 2*f = -4*u + 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2471658 to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**6\/24 - x**5\/30 - 4*x**2. Find the third derivative of m(i) wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373704 divided by 552\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/32*-4*(-2)\/11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 0*g - 3*g - 4*g + 8*g. Let q(o) = 1345*o**2 - 645*o**2 - 672*o**2. Give n(q(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 541469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12*(-1)\/40)\/(3 - 116\/40). Let p(a) be the first derivative of 0*a**2 - 2*a**n + 0*a - 3\/4*a**4 + 26. What is the third derivative of p(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 8*b**3 - 3876*b**2 - 85544*b - 540430.\nAnswer: 2*(b - 55)*(b + 17)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(-4 - 342\/(-84)). Solve 2*o = l*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*y + 2 + (-11 + 8 - 11)*(1 - 1 + y) + 5*y + 4 - y - 4.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from akalkykalaklklalk.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q*q**14\/q)*q*q))**(-5\/9))**(-1\/3) assuming q is positive.\nAnswer: q**(55\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 + 72*u**2 + 3029*u\/3 + 938.\nAnswer: (u + 1)*(u + 14)*(u + 201)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 5*l**2 - l - 5. Let j be d(-5). Suppose j*t - 4*t = -12. What is the smallest common multiple of (-20 + 18)*10\/(-4) and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 + 399020808*y**2 = 0. What is y?\nAnswer: 0, 133006936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {o: 1, j: 3, u: 1, d: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-13 - -35) - (-18 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2428 = 4*a, 4*k - 863 = -2*a + 359. Let z = a - 389. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5241 divided by -1747.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -239 + 245. Find the third derivative of 25*w**g - 3918*w**4 + 67*w**2 + 3918*w**4 - w**3 wrt w.\nAnswer: 3000*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 = -31*t - 2054 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33606716 divided by -902\nAnswer: 37258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a millennium in decades?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 1293 = -1245 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkc when three letters picked without replacement from {r: 2, t: 1, k: 1, c: 1, g: 2, q: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4212) - sqrt(4212))\/(-2*sqrt(256) - sqrt(4)))**2.\nAnswer: 4212\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1450\/9 and -162 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 7 + -3 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -83391.49 rounded to the nearest ten?\nAnswer: -83390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-12) - ((-546)\/36 + 10). Solve 4*o - 2*u = -0*u + 28, -j*u = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/11)\/x**(-2))**(-29) assuming x is positive.\nAnswer: x**(-812\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**3*y**3 + 11*g**3*y + 3*g**3 + 3*g**2*y**3 - 3*g**2*y**2 wrt y.\nAnswer: 18*g**3*y + 18*g**2*y - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3788353 kilograms to grams.\nAnswer: 378.8353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 43 = 3*j - 47, -j = 3*h - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1964*n**3 - 5096*n**2?\nAnswer: 11784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*p = -145*p - 147*p + 9936. What is the remainder when 8530 is divided by p?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 23*g**2 + 30*g - 1421. Let t(x) = -11*x**2 - 5*x. Let w(b) = 2*r(b) + 4*t(b). Factor w(c).\nAnswer: 2*(c - 29)*(c + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 2*j**3 + j**3)*(37 - 376 + 20).\nAnswer: -638*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -v + 5*q, v + 2*q + 8 = 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 13*q**2 + 15*q + 4. Let r be o(14). Let j be 174\/r + (-6)\/9. Solve 0 = 4*i - i - j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 470 = 416 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 360375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.9 - 0.1. Let o = b - 0.8. Let c be 2*4\/(-16)*2. Is c less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116946 plus 52498?\nAnswer: 52497.883054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b458 (base 16) to base 10.\nAnswer: -373848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - p - 3*p + (-8*p + 8*p - 9*p)*(-3 - 5 - 4).\nAnswer: 107*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*h + 7448 + 20845 + 5989 = -228*h for h.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2389027?\nAnswer: 17, 89, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + (-162)\/(-24). Solve 0 = q*t - 5*t + 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/3)\/j*j)\/j)\/j)**(-20\/3)*(j\/(j**(-3\/8)\/j))**(-5\/11) assuming j is positive.\nAnswer: j**(7945\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001101110001001100 - 10001?\nAnswer: 100001101110000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 63 - 21 = 0. Let y = m - -3. Is y + 4\/2 + 21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.18 (b) -2\/3 (c) 0.2 (d) -11.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1\/4, -0.556, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**4 - 2 - 4 + 6*y**4 - 3*y - 9*y**4 in the form f + o*y + v*y**4 + j*y**3 + g*y**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (43 + -4 - 5) + (15 - 22) - -10\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -0.08 (c) -0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqvvqvqvvqqq. What is prob of picking 3 q?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 847 - 2016 + 773 = 17*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2168185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*z - y, 0 = -5*z + 2*z + 3*y + 48. Let x be ((-16)\/(-3))\/((-6)\/(-27)). What is the highest common divisor of z and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 + o - 1. Let r be w(1). Solve y - r*a = -4, -a + 0 = -4*y - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -261242 and -4.\nAnswer: -261246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -3*n + 69, 4*q + 2920192*n - 80 = 2920188*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - ((-2)\/(-1) - 1). Differentiate 0 + 3 - 8*m**3 + 5*m**w with respect to m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 23*c - 6. Let d be f(4). Let l = d + -123. Let i = l + 70. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:58 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*h - 3*i, 2630*i - 2632*i = 2*h + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4530720\/168 + (-3)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*h**5*o**2*x - 90*h**5*x + 3*h*o**2*x - 2208*h*o**2 - 2*h*x wrt h?\nAnswer: 280*h**3*o**2*x - 1800*h**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/5*(21\/(-7))\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3759426 is divided by 977.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f*f**(-3\/10))\/f)\/f))\/(f**7*f*f))**(11\/4) assuming f is positive.\nAnswer: f**(-737\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*q + b, q + 4*b + 1 = 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(624) + 2*sqrt(624))\/sqrt(12) + -1).\nAnswer: -6*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 252 = -2*n. Calculate the greatest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*m**2 - 50*m**2 - 85*m**2 - 76*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -15, 24, -2\/219?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*s - 239*s = -234 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:58 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23141.\nAnswer: 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17630?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrhk when four letters picked without replacement from {y: 2, r: 2, h: 1, k: 6}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250033.\nAnswer: 7, 23, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/126 and -113\/6?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*z - 820541, q - 3*q + z = -410263. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -13778?\nAnswer: -13780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*t + 15*t**2 - 29*t to the form w*t + u*t**2 + j and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 1461 = 1256. Let g be n\/(-33) + (-2)\/(-6) + 84. Suppose 183 = 5*l + 23. What is the highest common factor of l and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - 4*z**2 + 5*z + 7. Let g be l(-6). Suppose 4*o = -5*w + 283, -4*o + 0*w + w = -g. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -47 - 22 - (-5 + -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -271*j**3*k**4 + 3*j**3*k**2 - j**3 - 2*j**2 - j*k**2 - j - 373*k wrt k?\nAnswer: -3252*j**3*k**2 + 6*j**3 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*s - 2475526*j**3 + 13746372*j**2*s**4 with respect to s.\nAnswer: j**3 + 54985488*j**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/384 and 91\/40.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (2 + -2)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 77984*i. Let f(a) = -20*a. Determine f(v(b)).\nAnswer: -1559680*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 6*h**2 - 52*h + 302. Let g be m(6). Let y(q) = -q**3 - 10*q**2 - 6*q - 11. Determine y(g).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7579 + -2063. Calculate the greatest common divisor of t and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 64 + 80 = u, -2*u = -p + 20. What is the second derivative of -p*m + 138 + 50*m**2 - 69 - 71 wrt m?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 6. Let u be t(-2). Let r(s) = 0*s + 6*s + 1 - 2. What is the lowest common multiple of r(u) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.437907 + -8.472907247. Let p = m - -0.035. What is p rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4545168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 384092.5km?\nAnswer: 384092500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 6*j - 3. Let z be s(7). Is 4\/((-80)\/(-1475))*z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1378 = 11*j - 1785. Suppose 2*c + 2*c = 720. Calculate the remainder when c is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = 5*g - 2537 + 3138, -j + 2*g - 74 = -4*g for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 6*z + 180. Let n be (z\/4)\/(4\/8). What is the highest common divisor of 18 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 219966.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose g + 1 = -2*a, -a - 1 = 2*g - 5. Let c = v - g. Solve c = -0*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 11*p + 154, 5*h - 2*p - 883999 + 884101 = 0 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3876888 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:51 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -62, -49, -32, -11, 14, 43?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*l - 2228 + 212. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - b - 3*b + 3*b)*(2 - 2*b - 2 + (-1 + 5 + 9)*(0*b - 2*b + 5*b)) - 41*b**2 - 81*b**2 + 70*b**2.\nAnswer: -89*b**2 + 74*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)*(78 + 1). Suppose 3*a + 354 = -v + 4*v, v - 93 = -4*a. Let f = d + v. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3424 (base 6) to base 2\nAnswer: -1100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3, -x + 11 + 4 = 4*j. Suppose x*f + f = -72. What is the smallest common multiple of ((-30)\/8)\/(f\/24) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.513751kg to micrograms.\nAnswer: 3513751000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -2072133?\nAnswer: 2072144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 22 - 8 - 7 - 12*z**2 + z to the form i*z + a + g*z**2 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 14*d - 9. Let p be x(-5). Solve 5*i - p = -2*u, 2*u + 4*i - 8 = -0*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(6)\/sqrt(3) + 3 + (5*(sqrt(80)\/sqrt(4) - sqrt(20)))\/sqrt(10)))**2 + 5.\nAnswer: 72*sqrt(2) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1739 + 3032. Suppose 0 = -g - 2*b + 54, -5*b + 66 = 2*g - 40. Calculate the remainder when g is divided by (0 + (-3)\/(-2))*17240\/c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k**0\/k)\/k*k**5)**(2\/107))**(-26))**(1\/15) assuming k is positive.\nAnswer: k**(-208\/1605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n - 1. Let f be p(-4). Let a = f - -47. Let j = a + -21. Solve -q + 0 = -j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v - 11. Calculate the remainder when 21 is divided by t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.156 - 15.284\nAnswer: -15.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -40*m**2 + 14*m + 32. Let x(w) = 19*w**2 - 7*w - 15. Determine 6*n(g) + 13*x(g).\nAnswer: 7*g**2 - 7*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -299805490310722.\nAnswer: -299805490310722.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + b + 28. Let h be a(0). Suppose -4*p + 35 = 5*m, -2*m + p = -6*m + h. Suppose d = m - 3. Solve 3*o = -5*v + 4*v - 6, 0 = -2*o - d*v - 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4091355?\nAnswer: 3, 5, 23, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 + -62. Let c(u) = u**3 - 7*u**2 - 8*u - 3. Let f be c(8). Let a be (-2)\/4*-10 - f. What is the highest common factor of x and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + k + 8 = 0, 7*d - 6*d + 5*k = 12. Suppose -3*f = -d*n + 1921, n + 2*f - 382 = 575. What are the prime factors of n?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 4 - 3)*(3*g - 2*g - 4*g) - 2*g - g + g + 3 - g - 3)*(4*g + 6*g - 6*g)*(8 - 2*g - 8).\nAnswer: 72*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 21*p**2 - 135277825*p + 135277825*p.\nAnswer: 21*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63170 (base 8) in base 14?\nAnswer: 97ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, and 1 z when three letters picked without replacement from mvzfkkvmmkkvwwmvwmm.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 187521, 187528, 187537, 187548, 187561?\n\"Answer: x**2 + 4*x + 187516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 42\/9)*-3. Let x = -2 + m. Let j = -6 + 11. What is the remainder when j is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from vlzllvlllzllzll?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1582 and 4673165?\nAnswer: 1056135290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 32*p**2 - 9*p - 5. What are the prime factors of k(-2)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, 0.4, 2, -109.7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19112806, 38225615, 57338424, 76451233, 95564042, 114676851?\n\"Answer: 19112809*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4380, 4247, 4010, 3657, 3176, 2555?\nAnswer: 1782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371139, -371096, -371047, -370992, -370931?\nAnswer: -370864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501?\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 15) to base 2.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/35990 and 7\/49410.\nAnswer: 2915190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/20 - o**5\/3 + 25*o**2. Find the third derivative of f(b) wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 1415.\nAnswer: 36790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48801, 195190, 439171, 780744, 1219909, 1756666?\n\"Answer: 48796*p**2 + p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i**2 + 4*i + 4. Let u(t) = 90*t**2 + 25*t + 25. Determine 25*g(a) - 4*u(a).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, h: 1}. What is prob of picking 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2311 - -1010?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.1072591 months?\nAnswer: 0.0175604925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3920)\/(-18) + 0 + (-146)\/(-657). Let p = -652\/3 + i. Let k = -0.1 - -0.1. What is the nearest to p in 0.1, 4, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/22 - (-10)\/55. Let v(q) = -7*q. List the prime factors of v(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*c = 0. Suppose 2*l - l - 29 = c. Let k(m) = -15*m + l*m + 1 - 15*m. Let t(q) = 2*q**3 + q**2 - 2*q + 1. Determine 2*k(g) - t(g).\nAnswer: -2*g**3 - g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(320) - -1*sqrt(320)))\/(sqrt(8) + (sqrt(80)\/(sqrt(20)\/sqrt(2)) - sqrt(8) - sqrt(8)) + sqrt(8)))\/(6*-6*sqrt(8)*2*-6).\nAnswer: 5*sqrt(5)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -50, -0.4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40714.\nAnswer: 2, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -134133, -134136, -134145, -134160, -134181, -134208, -134241?\n\"Answer: -3*w**2 + 6*w - 134136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - o**2. Let y be h(1). Suppose -2*k = -y*k + 5*r - 36, -5*r - 3 = -k. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 9.43.\nAnswer: 1.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - o - 106 = 100, 0 = -4*g - 4*o + 196. Suppose 5*f + g = 6*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/160, 0.4, 4 in descending order.\nAnswer: 4, 0.4, -1\/160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/5)\/i*i)**(1\/8)*i**(1\/9)*i**(1\/9))**(-9))**(-6\/13) assuming i is positive.\nAnswer: i**(147\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -565.9936 + 566. What is t rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3176)\/(-35730))\/((-12)\/(-18)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79793 is divided by 11397?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**2 + 5*b**2 + 13*b**2)*(-443*b + 443*b - 97*b**2) to the form m + l*b + h*b**3 + g*b**4 + p*b**2 and give g.\nAnswer: -1649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 380072250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -100. Let w = -91 - b. Let n = w - -96. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5141*0.4\nAnswer: 2056.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 164818986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 359 = 4*d - 8*d, -3*d + 266 = 4*k. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, 1.78 in decreasing order.\nAnswer: 1.78, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcrz when four letters picked without replacement from {p: 1, m: 9, r: 4, c: 2, z: 4}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619 = 32*m - 819 - 488 + 134 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/10 and ((-158)\/10)\/(504\/120).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-253)\/44)\/((-1)\/(-24)). Let l = 327 + c. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1669.2 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 637.2751 * 1\nAnswer: 637.2751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -828 - -1613\/2. Find the common denominator of r and 80*(-3)\/(45\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 313429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 0*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 9*q + 38 = 0. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j**2. Let h(f) = 8*f**2. Let x(c) = -5*c - 34. Let q be x(-6). What is q*r(z) - 5*h(z)?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 3)*(-2994813*j - 2971*j**3 + 2994813*j)*(j - 2*j + 0*j) in the form p*j + s*j**3 + q + l*j**4 + t*j**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 + 6.9. Let o = -9908 - -9909. What is the closest to o in 0, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d\/d**39))*d)\/d**(-15\/8) assuming d is positive.\nAnswer: d**(-289\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 5*x - 10 = 3*s, 728*s + 5*x + 30 = 729*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9180000 rounded to the nearest one hundred thousand?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.324305 millennia?\nAnswer: 3891.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (5 - -7) + -6 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 21450, 3, 7 in descending order.\nAnswer: 21450, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009497313 to 6 decimal places.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/110 and -71\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3 - -33)\/(-10))\/((-12)\/8). Solve 5*s - 5 = 0, 0*s - p*s = 5*j - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-22) - (-30)\/165. Put -0.3, 2, l in descending order.\nAnswer: 2, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3967402770?\nAnswer: 2, 3, 5, 4111, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 519 + 5307 = -3*c, 2*h + 3*c = 4776. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/18337 and 64\/41675.\nAnswer: 458425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(81) - sqrt(9)))\/(sqrt(24)\/(sqrt(8)*-1)) - (-1 + sqrt(3) + 1 + 1 + (sqrt(3) - (sqrt(9)\/sqrt(3)*6)**2)).\nAnswer: 8*sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2679.\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (234\/(-12))\/(429\/(-33) + 2 + -1).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 5*f - 6. What is j(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {e: 3, b: 1, p: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {m: 2, z: 2, o: 1, j: 1, b: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 2842 - 2842.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = g - 2616, 0*g = -2*g + 15*t + 5327. Calculate the greatest common divisor of 78 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 + 755\/7. Let a = -253 + 256.06. Let q = a - 3.46. What is the third biggest value in u, q, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -22222044200?\nAnswer: -22222044142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*v - 2 = -0*v, 2*v + 4 = 4*o. Let k(r) = 5*r**2 - 10 - 3*r**o + 7*r - 5*r**3 + 5. Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*d - 140*d + 74*d + 36*d - 35.\nAnswer: 37*d - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29085379 is divided by 2357?\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*p = 13*p - 186560000. What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(13 + -7) - 18\/3. Is r*(-1)\/5*(-18940)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-159 - 6*r**3 + 6*r**4 + 159)*(-25 + 29 + 82) + r**3 + r**4 - r**3 in the form x*r**2 + u*r + p + h*r**4 + f*r**3 and give h.\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162) + -4*sqrt(288))\/(sqrt(225)*-1*-2).\nAnswer: -19*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0\/(2 + 0). Let p = d - -44. Is (54\/21)\/(9\/p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6669553025 + -0.3363\nAnswer: 6669553024.6637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*j**2 + 498*j**2 + 65*j**2 + 423*j**2 + 21 + 529*j**2 - j.\nAnswer: 1642*j**2 - j + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -66. Suppose 0 = -18*n - 121 - 167. Let f = r + n. Calculate the least common multiple of f and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*u - 57*u = 1, 21*u - 24*u - 51 = -6*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 5*d**2 - d. Let z(r) = 15*r**3 - 697*r**2 - 4094*r. Let q(s) = -13*k(s) - z(s). What is the second derivative of q(n) wrt n?\nAnswer: -12*n + 1264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5941\/110 + -54. Let f = i + 217\/330. Which is the second biggest value? (a) -1 (b) 1\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0122 and 0.1.\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 16*j = 354. Let f = 343 - j. Suppose -2*r + 3*u = -f + 38, -u = -r + 65. List the prime factors of r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 3*g - 38400. Round g to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/5058 and 145\/459108.\nAnswer: 129009348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -324*0.49\nAnswer: -158.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (-2 + (sqrt(70) + (3*sqrt(70) - sqrt(70)))\/sqrt(10) + (2*sqrt(42))\/sqrt(6))**2 + -1.\nAnswer: -20*sqrt(7) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28, 121, 280, 511, 820?\n\"Answer: g**3 + 27*g**2 + 5*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -3, -4, 5, -3\/56?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 862827755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -374, -884, -1878, -3518, -5966, -9384?\nAnswer: -13934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26020, 52217, 78594, 105151, 131888, 158805, 185902?\nAnswer: 213179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 25 = 3*s. Let m = 1749\/7 + -249. Let h = 55\/56 - m. Which is the nearest to -1? (a) s (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 923, 949, 975, 1001, 1027?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-39)\/36 + 1). Suppose d + 2*d - p = 0. Suppose k - 2*j + d = 0, 0 = 4*k - 4*j + 4 - 0. Solve l + 3 = k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1\/m)**(-14\/9) assuming m is positive.\nAnswer: m**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = -3*z. Let n(s) = -s**2 + z*s**2 - 1 + s**2 + s**3 + s. Suppose -3*k - 10 = -4*x, -k - 4*k - 4*x - 6 = 0. Determine n(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.167184 to three dps.\nAnswer: -0.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 40452*o - 81415280.\nAnswer: -4*(o - 7340)*(o - 2773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221787 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11426, 22408, 33390, 44372, 55354, 66336?\n\"Answer: 10982*r + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)*h\/((((h*h\/h**19)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/45*(-155)\/(-124)*-10\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -17?\nAnswer: -35\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 7*r**6\/30 + r**3\/6 + r**2\/2 - 2*r - 27. Find the second derivative of t(m) wrt m.\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g + 4. Let x(c) = -c - 1. Let w(m) = -m**3 - 5*m**2 + 5*m - 7. Let a be w(-6). Calculate a*k(h) - 6*x(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.173 - -0.073. Which is the nearest to -0.3? (a) -0.2 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2369 at most -2328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2620213192 + -2620211783.000619. Let b = l + -1409. What is b rounded to 5 decimal places?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h + 3*b + 88 = 0, -3*h - 3*b + 72 = 0. Suppose 66 = -12*f + 15*f. What is the least common multiple of h and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1782, 1719, 1612, 1461?\n\"Answer: -22*o**2 + 3*o + 1801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*c + 6374 - 445 = 277 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 0*v - 3*v**2 + 0*v**4 + 3*v**3 - 74 - 11\/5*v**5. What is the third derivative of h(n) wrt n?\nAnswer: -264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*i**3*u**4 - 2*i**3 + 41965*i**2*u**2 - 2*i*u**2 + 21*u**6 wrt u.\nAnswer: 3336*i**3*u + 2520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = 7*v, 4 = 5*z - 2*v. Which is the nearest to 4? (a) z (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3279 = 4*m - 2*x - 3307, 6*x = 4*m - 28 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431715?\nAnswer: 3, 5, 17, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2980 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*k - 10 = 0, n = 2*k - 5*k + 15. Suppose 3*m - 4*m - 3 = 0, 0 = -4*p - 2*m + 18. Let r be 2\/6 - (-16)\/p. Solve r*w + n*w = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:57 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, 2\/85, -1 in descending order.\nAnswer: 1\/3, 2\/85, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 1. Let o be y(-1). Suppose o*z = 3*z + 106. What is the units digit of z\/(-4) + 2\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-19\/2)*v**15*v**(-1\/51)*v**(9\/10)\/v assuming v is positive.\nAnswer: v**(1372\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*sqrt(65) + sqrt(65))\/sqrt(5) - (sqrt(13) + sqrt(520)\/sqrt(10)))**2 + ((-5*sqrt(65)*1)\/(sqrt(405)\/sqrt(9)))**2.\nAnswer: 2206\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c. Let s(l) = 31*l + 1. Suppose 2*m - 1523*m - 1663 - 1379 = 0. Let h(w) = -w - 4. Let g be h(7). Calculate g*f(x) + m*s(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68157013.\nAnswer: 79, 191, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aao when three letters picked without replacement from aoma.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**3 + i**2 - i. Suppose 8*r = 6*r + 2. Let s be g(r). Solve -s = l + 5*b, 3*b - 4*b = 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -5*y**3\/6 + 2*y**2 - 9*y. What is the first derivative of u(b) wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 4*y - 2*y)*(3 - 5 + 1)*(90 + 12 - 46).\nAnswer: 112*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 432472084*h**3 - 93*h**2 - h + 85459 wrt h.\nAnswer: 2594832504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 3. Let b be x(8). Suppose -t - 3*c = -19, 4*t + c + 27 = b*t. Let w = -9 + t. Solve 5*a - 7 = -2*z, z = 3*a + a - w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 18, -1 in descending order.\nAnswer: 18, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 859258 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -8\/7*i**2 + 1\/7*i**5 + 0 + 2\/105*i**6 - 2\/147*i**7 - 1\/21*i**4 + 161*i - 16\/21*i**3. Factor r(g).\nAnswer: -4*(g - 2)**2*(g + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127032060 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3285, -2\/15, 3\/4, -0.1, 0, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5844942 days in microseconds?\nAnswer: 50500298880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 8.5\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, -0.5, 1\/12, -1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 545221.6ml in litres?\nAnswer: 545.2216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/108*(-69)\/(-184) - (-1)\/(-12)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7405749*t - 2516849.\nAnswer: -7405749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2077*k - 2527*k - 1239*k - 892*k as o*k + i and give o.\nAnswer: -6735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -101.021. Let i = 0.086 - t. Let h = -5.605 + i. What is h rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 5*v + 1, 5*t = 3*v + 20. Suppose -4*w = r + t*r + 162, -4*r = -5*w - 223. Let q = 212\/5 + w. Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.0627 to two decimal places.\nAnswer: 5.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*y - 7 = -92*y. Let o(h) = h**3 + 2*h + 1. Let w be o(-1). Put y, 0, w in ascending order.\nAnswer: w, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18053 + 18056. Put 9, c, 23 in ascending order.\nAnswer: c, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1485 - -1485.1. Let g be -2*(1 - (-5)\/(-4)). Let l = -2614 + 2610. What is the closest to n in g, l, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1363, 11766, 22169, 32572?\n\"Answer: 10403*r - 9040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 6125?\nAnswer: -6124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 83810*d**2 - 23*d. Let i(n) = -2*n. What is i(x(p))?\nAnswer: -167620*p**2 + 46*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91679690 is divided by 946.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6650 - -b8?\nAnswer: 6738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-80) - ((-238)\/10 - -2). What is the highest common divisor of c and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 192429?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**4 - 21*k**3 - 980132 + 0*k - 3*k + 4*k**4 + 980134 to r + i*k**3 + t*k**2 + v*k**4 + p*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.446887um?\nAnswer: 0.0000446887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94508615*p**5 - 23086620*p - 1?\nAnswer: 1890172300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71913, 143894, 215941, 288054?\nAnswer: 360233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.665 and -3?\nAnswer: -22.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12*4)\/((-2)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710248 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 common denominator of -155\/65052 and -71\/108?\nAnswer: 195156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5682, 5940, 6198, 6456, 6714?\nAnswer: 6972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/147669 and -37\/8?\nAnswer: 1181352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -30 + 8*a - 3*a - 38 - 24. Let k be u(0). Let h = 38 - k. What are the prime factors of h?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 44224?\nAnswer: 44226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -37. Sort -3, 5, g.\nAnswer: g, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1635.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from rzz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 - 34*b\/5 - 253\/5.\nAnswer: -(b + 11)*(b + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/3 (b) -1.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 168030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16252514*d + 493 = 16252531*d for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*p - 4, 0 = 101*p - 96*p - 15. Let y be 36\/(-15)*(-20)\/3. What is the highest common divisor of y and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14359 is divided by 1794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -184106 divided by -120\nAnswer: 92053\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4352 = 4*g, 3*g - 1115 - 2149 = -5*j. What is the remainder when g is divided by 93?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 348, 1012, 2120, 3672, 5668, 8108?\n\"Answer: 222*q**2 - 2*q + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 22. What is the remainder when 120 is divided by q(10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -103.4 from -126.91.\nAnswer: -23.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/23783634 and 97\/276?\nAnswer: 1094047164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11987300 divided by 92210?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l = -31*l - 25. Let a(f) = -f**2 - 5*f - 5. Give a(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173906 <= 173906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74130 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745725 is divided by 381?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756539?\nAnswer: 3, 67, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcffffffcf. What is prob of picking 3 f?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/403 (b) -0.4 (c) 4\/39 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 8905367.\nAnswer: 2\/8905367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 2\/25 (b) -1\/19 (c) -0.6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 24 = 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14749*u = 2*a - 14738*u - 124, -2*a + 4*u + 64 = 0 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*v + v - 28 = 0, -2*v - 10 = -4*h. Suppose -3*b = -3*u - h*b + 144, 100 = 2*u + 2*b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**5 + 699*m**4 - 6*m**3 + 2*m**2 - 7364*m - 5?\nAnswer: 120*m**2 + 16776*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11100010100111001001 (base 2) to base 10\nAnswer: 928201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61278465 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 + 192 - 428*f - 389.\nAnswer: -428*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/10 + (-819)\/(-65). Solve -4*v - b = 18, -5*b + d = -5*v - 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*g + 774, s - 3*g - 482 - 292 = 0. Let u = s - 253. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44.4413466 = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38050 or 38041?\nAnswer: 38041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 5*m**2 + 2*m**2 - 24*m - 6*m**2 + (-11 + 23*m**2 + 7 + 5)*(0 + 5 - 3) - 2*m**2 + m**2 + 9*m**2.\nAnswer: 55*m**2 - 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 10, 801 in descending order.\nAnswer: 801, 10, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 5 (c) -4\/9 (d) -8\/9 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 293 from 15593207.\nAnswer: 15592914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.62? (a) -160 (b) 2\/3 (c) -19.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*k - 5. Let x be 5\/k*8\/(-30). Which is the nearest to x? (a) 2\/3 (b) -3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -24. Suppose -2*k = q*o - 36 - 36, -5*o + 3*k + 101 = 0. Round o to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h + 49*h + 38*h + 39*h - 179*h + 33*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 91212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(266*u + 4 - 2 - 272*u) in the form t + f*u and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -3953*z**6\/30 - 2735*z**2 + 6771*z. Find the first derivative of v(x) wrt x.\nAnswer: -15812*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 78, 194, 378, 642, 998, 1458, 2034?\nAnswer: 2738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6878440199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7549111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 5, w: 4}. What is prob of sequence jh?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*i + 3*i + 13*i + (3*i + 2*i - 3*i)*(3 + 0 - 2) in the form j*i + k and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17264 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: Let o(z) = z**2 + z + 34. What is the tens digit of o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74386234 and 45776144?\nAnswer: 595089872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * -14.86\nAnswer: -3.1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 8:34 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13*o**2 + 177*o - 509. What is m(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11455*h**3*t**2 - h**3 - 22*h**2*t + 9*h*t + 9*t wrt t.\nAnswer: 22910*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 3)*(-5)\/3. Let b be 1 + 3 + 0\/4. What is the nearest to -6 in a, 0, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 15, l + p - 2 = 10. What is the hundreds digit of -3 + 153 + 7\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.6 - 4.91. Let y = -0.09 + d. Let v = 0.3 - y. What is the second biggest value in 5\/2, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 11)*2\/(-10). Is (v + 21\/(-6))*-12 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 4, -3, 2 in increasing order.\nAnswer: -3, 2, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(108\/(-405)) + 3\/(-3). Let o(m) = 5*m + 5. Determine o(d).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 51 + 3. Let r = 13 - b. Let l be ((-4)\/r)\/((-6)\/14). Sort -5, 2\/9, l in increasing order.\nAnswer: -5, l, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 2, w: 1, l: 1}. Give prob of sequence flw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -884, 3 in decreasing order.\nAnswer: 5, 3, -884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.19, -4, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/25)\/(120\/(-100))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2. Let a(n) be the third derivative of 27*n**5\/20 - 1835*n**2. What is x(a(o))?\nAnswer: 32805*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6730, -26702, -59922, -106390, -166106?\n\"Answer: -6624*t**2 - 100*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -36*k**3 + 13908*k**2 - 18496*k + 6160 = 0.\nAnswer: 2\/3, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 - 6924*x**2 + 257511*x + 2880630 = 0. Calculate x.\nAnswer: -9, 47, 2270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25051112?\nAnswer: 2, 43, 72823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**3\/3 - 2*t**2 - t - 34. Differentiate o(b) wrt b.\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -13423?\nAnswer: 13423.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvctvcvcvcvccctct. What is prob of picking 3 t?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1 - 3*p**3 + p - 10*p**3 - 3*p + 5*p**3 + 2*p**3. Let a(f) = -11*f**3 - 3*f + 2. What is 4*a(l) - 7*n(l)?\nAnswer: -2*l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 6:00 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318340 is divided by 7401?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18623, 145803, 490917, 1162931, 2270811, 3923523, 6230033?\n\"Answer: 18161*i**3 + i**2 + 50*i + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7251191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)\/t)\/t**(2\/13))**(12\/7)\/((t**(-5\/4)*t*t\/(t*t\/(t\/t**3*t)*t)*t)\/((t*t**5)\/t**1)) assuming t is positive.\nAnswer: t**(1763\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**3 + 15*a**3 + 3*a**3)*((-1 + 1 + 1)*(a + a - a) + 0 + a + 0 - 7*a - 10 + 10).\nAnswer: -55*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tattat. What is prob of picking 2 a and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - -13)*(0 - -1). Suppose 2*t + 40 = h*t. Solve 0 = -5*u - b + 7, u + 3*u + 3*b - t = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58.743729 + 58.706. Round j to 3 dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 281*y - 14497. What is z(213)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiiiiiiiifi. Give prob of picking 1 i and 1 f.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + o**2 + (1 - 1 + 2*o)*(2*o + 2*o - 2*o) - 61*o**2 + 70*o**2 + 42*o**2)*(4 + 0 - 1).\nAnswer: 168*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 74, 111, 148, 185, 222?\n\"Answer: 37*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k\/k**(-10)))\/k))**(-4\/7)*(k\/(k\/(k*k*k**(-1\/5)\/k)*k)*k)\/(k*k**15*k) assuming k is positive.\nAnswer: k**(-807\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(77)*2*-2*5)\/(5*1*((sqrt(7) - (sqrt(7) - sqrt(63))) + sqrt(7))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + 1 + 0 - 13 - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y + 4 = 0, -2*y + 16 = 3*s. What is the highest common divisor of s and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*t - 128. Let z = t + 97. What is the remainder when 37 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1590 and 64236.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-8 - (-4 - 5)) + (-1 - 21).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g + 9. Calculate c(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e34af - -5?\nAnswer: e34b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -1 + -4 + 3. Factor 1\/3*f + 0 - 1\/3*f**b.\nAnswer: -f*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -13 + 4*z**2 - 2 + 8 - 3*z**2. Let h(p) = -9*p. Determine f(h(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-5 - ((-8 - (8 + -1)) + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6)*3 - -25. Let l = 28 - c. Suppose -5*s = -2*g - 0*g - 35, -5*s - l*g + 5 = 0. Solve -s*d - 4 = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 61250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + 7.1. Let a = -2.6 + t. Round a to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -180\/13, 104, -0.01, -1\/2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a + 135. Determine b(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 1:36 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from dppdp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 444 or -486\/11?\nAnswer: 444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386, 766, 1146, 1526?\nAnswer: 1906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17247, 17248, 17249, 17250, 17251?\nAnswer: 17252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4861 or 4872?\nAnswer: 4861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 5*g**2 - 4*g - 3. Is v(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 14 = 2*g, 4*g - 1 = 3*t - 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-5) + (-2)\/2. Solve -5*u + 10 = 3*x - n*u, 3*x = 2*u - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -98, -105, -122, -155, -210, -293?\n\"Answer: -k**3 + k**2 - 3*k - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/30)\/1)\/((-17)\/(-34))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*a - 14*a - 6, -3 = 4*w + a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20431 = 240*q + 6511. What is the fourth smallest value in -3\/7, q, -5\/3, 2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 5762.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 981740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 17*p**3 - 6*p**2 - 861*p + 861*p.\nAnswer: 17*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -157 - -67. Let q be 0 + s\/(-21) - (-2)\/(-7). Solve q*g = 2 + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350777.\nAnswer: 11, 13, 17, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2066 (base 8) to base 7.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21442558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22413455 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let j = 1 + w. Let y(q) = -q**3 - 2*q**2. Let s be y(-2). Sort s, j, 1 in ascending order.\nAnswer: s, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 825466680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 339\/8 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(0 + 0 + 1) - 4 + 1 + 6)*(0*k**4 - 2*k**5 + 0*k**4).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p + 3. Let f(i) be the third derivative of -5\/12*i**4 - 5\/3*i**3 + 0*i - 3*i**2 + 0. Calculate -7*d(g) - 2*f(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 56*j**2 + 2. Let n(t) = 508*t + 1. Calculate p(n(c)).\nAnswer: 14451584*c**2 + 56896*c + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4850*s**3 + 234*s**2 + 7773855.\nAnswer: 14550*s**2 + 468*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/11 - 32198*u**2\/11 + 105101350*u\/11 + 205691438750\/11 = 0. What is u?\nAnswer: -1351, 8725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -15 + 8*p - p**2 + 15. What is j(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17*1*2\/(-14). Let b = 143\/56 + t. Let j = -3.6 - -3.2. Put j, b, 0.5 in descending order.\nAnswer: 0.5, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1050 by -350.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -27, 0.17, 2\/9, -3, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-22))\/((13*(-60)\/(-1300))\/((-4)\/(-90)))?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14.5? (a) 0.3 (b) -2\/47 (c) 0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1678, 2\/13, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 897597307 to the nearest integer?\nAnswer: 29960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2292 + -2068. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 - 36*v**2 - 59*v + 62. Let u be g(-14). Calculate the highest common divisor of u and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, and 2 n when four letters picked without replacement from fwwwfhn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4218505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3. Suppose -9 = 26*j - 113. Let o(k) be the second derivative of 0 - 6*k - 1\/6*k**3 - j*k**2. Give 8*a(m) - 3*o(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7722031?\nAnswer: 71, 108761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - g = 5*o - 103, -3*g = o - 39. Let f be (-82)\/(-5) + 4\/(-10). What is the common denominator of (2\/f)\/(3\/o) and 31\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 42 = 2*w. Suppose -2*m + 4*n = -16, -m + 0*m + 5*n + w = 0. Let c be (3\/(-18))\/((-2)\/(-4)). Is m at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*q + 12, 4*c - 2*q = -0*c + 24. Let y(i) = -32*i**2 + 2 + 34*i**2 - c + 8*i. What is the tens digit of y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2, 3, 1\/50, -4.\nAnswer: -4, -2\/7, 1\/50, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3 + 21*x**2 - 37*x**2 - 3*x + 18*x**2. What is the units digit of d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 j when three letters picked without replacement from jjuccccjujjjucjj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4 + 1441*t**3 - 2889*t**2 - 4329*t = 0.\nAnswer: -1443, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvgvbjbgvjjjjxjjbg. What is prob of picking 1 b and 1 v?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 4:51 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/6, -1\/5, 953 in decreasing order.\nAnswer: 953, 1\/6, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355 a factor of 18104155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.46 - 0.06. Let p = -509 - -508.6. Which is the third biggest value? (a) p (b) i (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/25))\/k**(2\/65))**(-2\/3))**(13\/4) assuming k is positive.\nAnswer: k**(-341\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d + 3. Let j(b) be the first derivative of -2*b - 4*b - 2*b - 7*b**2 + 2. Let w(a) = 3*j(a) + 8*v(a). Let h(i) = i. Calculate h(w(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12804786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2182, 2183, 2184, 2185, 2186?\n\"Answer: g + 2181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4\/w*w)\/w)\/(w*w**(2\/3)*w))\/(w**2*w**4) assuming w is positive.\nAnswer: w**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33285 and 36?\nAnswer: 399420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - -4 - 5 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-4))**41)**(4\/11))**(-46))**(1\/27) assuming i is positive.\nAnswer: i**(30176\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1329\/1103?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 506, -3, -5 in decreasing order.\nAnswer: 506, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*c*r**6 + 4*c*r**3 + 3946*c*r + 109*r**4 + 2*r**2 - 3*r + 1 wrt r?\nAnswer: -1320*c*r**3 + 24*c + 2616*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 10*v**2 - 15*v - 52. Let f(u) = 2*u**2 + 2*u - 13. Let b(h) = 4*f(h) - n(h). Let z(j) = 6*j**2. Determine z(b(y)).\nAnswer: 24*y**4 - 552*y**3 + 3174*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 31. Suppose -y + q - 1 = 0. Let r(u) = -25*u**2 + 3*u - 20. Let b be r(y). Round b to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in minutes?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1628 - 1606.6. Round m to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3812b7 (base 12) in base 5?\nAnswer: -213231124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44\/8 + -7 + 3\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*m - 377*m - 15 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 0, 21.2, 7\/3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6474 divided by 3237.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 6 = -s. Suppose 4*l + 38595 = 5*n, -s*n + 5*l = -7*n - 38600. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298633141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 970 - -878. Calculate the smallest common multiple of 504 and q.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*f*h**2*v**3 + 7*f*h*v**3 - 3*f*v**3 + h**2*v**3 - 3*h**2*v**2 - h*v wrt h.\nAnswer: 28*f*v**3 + 2*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/68 and 85\/4231868?\nAnswer: 71941756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7563\/15 + (-72)\/60.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12989 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 + 111. Which is bigger: 569\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from lokoqeo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(2*x - 3*x + 3*x) - 2*x + 4*x - x + (2 - 2 - 2*x)*(4 + 2 - 4).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:02 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 183 = 117. Let k = 69 + m. Suppose k = -5*f + 8*f. Let i(c) = -2*c**2 + 2*c - 1. Let t(y) = 3*y**2 - 3*y + 2. What is f*t(g) + 5*i(g)?\nAnswer: -g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5887 - 5497. Calculate the greatest common factor of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5151 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174 + 179. Suppose -q*f + 68878955 = 19178955. What is f rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*d**2 + 142*d**2 - 232*d**2 - 8 - 34*d.\nAnswer: 4*d**2 - 34*d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61 + 14*h**4 - 32*h**4 - 4*h + 3*h**3 - 4*h**2 + 33 + 15*h**4 - 3*h**2 + 78*h**6 wrt h.\nAnswer: 9360*h**3 - 72*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m + 29*m - 28*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z + 16. Suppose -5*m + z + 11 = 0. Suppose 0 = 2*c - 5*h + 24, h = -m*c + 4*c + 6. Sort 4, c, 3 in ascending order.\nAnswer: c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 - j - 1)*(-283*j**2 + 1929*j - 1929*j) in the form q*j**3 + p + u*j**2 + z*j and give q.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*o - 23*o + 1649 = 0. Solve -t + 10 = 5*r, 5*t - 11 = -3*r + o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 195*n**2 + n + 3. Let q(g) = -g**2 + g. Suppose 3*a = -m - 6 - 7, 0 = -3*a + 4*m - 8. Let t(h) = a*q(h) + v(h). Is t(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2\/5 + 4932171*s\/5 = 0 for s.\nAnswer: 0, 1644057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + k + 1)*(-4*k**2 - 2*k**2 + 4*k**2) - k**3 + 7*k**3 - 3*k**3 + k**3 + 3*k**3 - 7*k**3 + 243*k**3 - k - 3*k**2 - 483*k**3 + 248*k**3.\nAnswer: 6*k**3 - 3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4314 + 4323. Let o = 1 - 1. Solve 3*z - 6 - w = o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -132.053 and 0.29?\nAnswer: 132.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + w - 6*w = -12, -2*w = -2*f. What is the derivative of 267 + f*v**2 - 2*v + 0*v + 231 + 5*v - 272 wrt v?\nAnswer: 6*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27790000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -17 - 5) + 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 2, c: 2}. What is prob of sequence cb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 5*r + 12. Let n be m(4). Solve n*v = -5 - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 12. Let b(k) = k - 3 - 5 + 3*k. Let c be b(5). What is the greatest common factor of a and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-130)*396\/792.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49776, 99422, 149066, 198708?\nAnswer: 248348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*r - 222*r = 4*s + 32, -7*r + 12 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 6\/386064661 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m - 5*m + 0*m + (3 - 1 - 3)*(3*m - 2 + 2) as r*m + g and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0 + 0*k**5 + 0*k**2 + 0*k**6 + 33\/14*k**7 + 103*k - 35\/3*k**3 + 0*k**4. What is the second derivative of f(s) wrt s?\nAnswer: 1980*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-24)*2*(-29)\/(-29)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65 + -4?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 + 32*s - 21 - 16 - 17 in the form x*s + v and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349048 is divided by 2492?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/2 + 2)*-3. Suppose g - 9 = -y*n, 0 = 2*g - 3*n - 2*n - 29. What is the remainder when 22 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(80) - (sqrt(605) + 1)**2.\nAnswer: -604 - 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 164218*d*i*z - 131789*d*i - 2*d*z**2 - d + 21*i*z**3 - 60 wrt z.\nAnswer: 164218*d*i - 4*d*z + 63*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2331117757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 23*t + 161. Let p be m(-7). Is p not equal to 1\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/64 and 71\/8668?\nAnswer: 138688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = -4*b + 16, 5*z + 3*b - 34 = 0. Let m be 1\/1*(-6)\/(-2). Solve -2*n = m*n + z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -257163, -257158, -257143, -257112, -257059, -256978, -256863?\n\"Answer: x**3 - x**2 + x - 257164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73507 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-1)\/((-6)\/4))\/(-9 + 578833\/64311) and 26.\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = 2*b - 3*t, -2 = 3*b - 2*t. Let p(r) = -1 + 34*r**2 - r - 16*r**b - 17*r**2. Calculate p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 0)*(4*y**3 - 19*y + 2*y**2 - 4*y**3 - 2*y**3) in the form s*y + b*y**3 + l*y**2 + w and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65078 is divided by 32485?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7785 and 528370545.\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 1\/5, -4, 3, 197?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 485178428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 16*c. Suppose 27*v = -c*v + 189. Solve 2 = g + v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 4\/11 (c) 0.3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (2 + -2) - (-73 - -97). Calculate the remainder when 174 is divided by (-7)\/c - 262\/(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1595*a + 1632106 = 3196*a - 1587*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/4, 2\/53, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 438994*b**3*j**3 - 5*b**3*j**2 - 153*b**3 - 3065*b**2 + 10*b - 3 wrt j?\nAnswer: 1316982*b**3*j**2 - 10*b**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-72))\/((-23)\/(-483))?\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -5. Suppose 3*g - 3 = -9. What is the units digit of a\/g - (-9)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9*w**2 + 5*w. Let n(u) be the second derivative of -u**4\/24 + 97*u**2 + 28*u - 1. Let g(o) be the first derivative of n(o). Determine s(g(v)).\nAnswer: -9*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 + (-15 - -20) + -2 + -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-56))\/(-1))\/(3\/18)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 3*x. Let c be s(-4). Let p(g) = 6*g - 1. Let t(n) = -11*n + 2. Give c*t(d) - 7*p(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54360 by 20.\nAnswer: 2718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b + 69. Let g = 45 - b. Calculate the remainder when 42 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:21 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109 and 21909.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -682290 by 12635.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 4 + 4*x + 2*x - x in the form d*x + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 246 and 64698?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 12, -22 in descending order.\nAnswer: 12, 1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56667216?\nAnswer: 2, 3, 23, 51329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anbbnbbo. What is prob of picking 1 n and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8997.382nm in micrometers?\nAnswer: 8.997382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12240 + 401522?\nAnswer: 414202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from {a: 2, x: 1, z: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*(-8)\/33\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9 + 7*m**3 + 13*m**3 - 22*m**3 with respect to m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = 45*i + 84 + 116 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*d = 8*d + 12238320, 2*f - 4895330 = 2*d. Let k be (2\/16 - 0)\/((-69)\/f). Let s = 4445 + k. Find the common denominator of s and -22\/91.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-1365)\/(-60)))\/(-2*9\/(-7))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (18 + -1)) + 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 9*f = -171 + 105, -2*b - f = 8 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*k = -524715 + 183901. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 6) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2736\/108 + (-1)\/(-6)*4. Let k = 3 + -2. Let i = t - k. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -12*(-696)\/18. Let g = o + 259. What is the highest common factor of g and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4819336 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7939*-2\nAnswer: 15878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -49. Solve q*b + 21 = 81 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 3 - 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(242) + (2*sqrt(242))**2 + 3 - (1*sqrt(2)*4 - 6*-1*sqrt(2)).\nAnswer: sqrt(2) + 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 148. Let b be r(-24). Let o = b + 932. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/3 + 11\/12. Let d = -11\/824 + -110751\/5768. Let r = d - -117\/7. What is the third biggest value in r, q, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -38. Let c = j - 15. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 41 - 38)*(0 + 3 - 22)*(g**2 - 2*g**2 + 2*g**2).\nAnswer: -380*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 6, v: 2, f: 2, a: 5}. What is prob of sequence ava?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (3 - 2) + 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**5*z**3 + 130*r**3*z**3 - 3*r**2*z**3 + 2*r**2*z**2 + 10*z**3 wrt r.\nAnswer: 180*r**2*z**3 + 780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -695 divided by 5?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.61 * -11.369.\nAnswer: 18.30409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 56 - 29 = -5*k, -4*k + 43 = -x. Let h be 0\/((-3 + 10\/3)*k). Solve l + w - 2*w = 6, w + 3 = h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5\/583, -49.\nAnswer: -49, -0.3, -5\/583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167493 divided by -776?\nAnswer: -167493\/776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -18. Let v = 1\/26 + 49\/78. Let u be (-4)\/(-6) - (-5)\/(-3). Which is the biggest value? (a) x (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + -10 + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/29, 3, 1, 13, -2\/11 in descending order.\nAnswer: 13, 3, 1, -2\/11, -6\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and 299?\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 3*l + 5. Let b(n) be the second derivative of n**4\/12 + n**3\/6 - 3*n**2\/2 + 85*n. Give 5*b(h) + 3*f(h).\nAnswer: -h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2049 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 = -t. Suppose t*f - 3*f = 28. Let b(l) = l**3 - 6*l**2 - 7*l + 3. What is the least common multiple of f and b(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1100 and 1320.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + q = 93, -o + 4*q + 0*q = -51. Suppose -o*y = -49*y + 28. What is the remainder when 135 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15868 + -15862. Which is the nearest to -1\/4? (a) 3\/29 (b) 7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a + 3. Let o(j) be the first derivative of -2*j**2 + j - 197. Suppose -p - 2 = -b, b + 4*p + 14 = 3*b. What is b*c(u) + 8*o(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.512*-27\nAnswer: 40.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/24284 and 27\/13076.\nAnswer: 169988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62.5 + -72. Let s = h + 4.5. Which is the fourth biggest value? (a) -0.2 (b) 5 (c) 0.2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.86 - 0.16. Let r = 0.707184911 - 0.007184771. Let g = r - l. Round g to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/24)\/((-3)\/(-9)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - b**2 - b + 1. Let w(u) = -u**3 + 4*u**2 + 2*u - 4. Let s(o) = 2*t(o) - w(o). Determine s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*w - w - 10993734, 5*n - 13742152 = -4*w. Let a = -4588432 + n. What is a rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47370518 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {j: 1, m: 1, o: 2, y: 1, e: 2, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1879 - 1869.33. Let n = -0.73 - w. Let l = -10.4000127 - n. What is l rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 30041 and 3.3?\nAnswer: 30037.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7111417.\nAnswer: 7111417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 g when four letters picked without replacement from {l: 10, g: 4}?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - h - 13, -18 = 4*v + 3*h - h. Which is greater: -21\/23 or v?\nAnswer: -21\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1689*b + 109740. What is c(-65)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 - v. Let t be k(1). Let f = 2 + t. Suppose 0 = -3*y + o + 133 + 102, 4*o = f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129706 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1823*l = 4*y - 1821*l + 30, 0 = 2*y + 5*l + 51 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 512 - 541 = -43*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 749, 734, 719, 704, 689, 674?\n\"Answer: -15*h + 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 4*x**2 - 48*x + 213. Let j be h(4). Solve 0 = j*q - 25*q + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -14*h + 47 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -30 - 24) + 50?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.1 (b) -43 (c) 118613\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and -29093\/1714 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -504, -348, -88, 276, 744?\nAnswer: 1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1993296 and 18?\nAnswer: 5979888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41841 + 12?\nAnswer: 41853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 200\/90 + 2\/(-9). Suppose 15*r - 8 - 22 = 0. Differentiate 8*h**2 - 20*h**r + 4 + 4*h**f with respect to h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + b - 2. Suppose -2 = -o - 5*x - 14, 0 = 5*o - 5*x. Let z(j) = -j - 1. Let t(u) = o*k(u) + 2*z(u). Suppose t(i) = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*p - 41*p + 27*p**3 + 8*p + 7*p wrt p?\nAnswer: 162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -1, 1 in descending order.\nAnswer: 1, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 71*k + 706. Calculate the lowest common multiple of m(60) and (-128)\/(-7) + 2\/(-7).\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 12:37 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 + 0 = 0. Suppose 5*v = c*v - 26. Solve -2*k - 17 = -3*l, -v = l - k + 5*k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13208853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -14, -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3658057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 858*p**2 + 2*p + 881 wrt p?\nAnswer: 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4704954?\nAnswer: 2, 3, 17, 193, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -0.3, -46, 46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (((21 - 6) + -10 - 0) + (-11 - 2))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*h**2 + 57*h**2 + 16*h**2 as s + c*h + x*h**2 and give x.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -16, -4*g = -2*n - 12 - 8. Suppose g*j - 4 = 2*j. Let c be 996\/(-83)*6\/9. Sort j, c, 0 in descending order.\nAnswer: j, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147)*2 - (sqrt(60)\/sqrt(2))\/sqrt(10))**2 + 2 - (sqrt(24) + sqrt(216)*2)\/((sqrt(64)*2 + sqrt(64))\/sqrt(8))) + -4)*3.\nAnswer: -7*sqrt(3) + 1515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Suppose j*p + p = 108. Suppose -2*c - 38 = -3*r + 3*c, 5*c = 2*r - p. What is the remainder when 20 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 132 = 2*p - 890, 4*p + 3*w - 2016 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975470231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 2, w: 2, m: 2, n: 1}. Give prob of picking 2 s and 1 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 305595475 to the power of 1\/2, to the nearest integer?\nAnswer: 17481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.2.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3391 = 37439. Suppose q - 6*q = -s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 520 - 415. What is the remainder when v is divided by 10 + (-4)\/(-2) - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13602 = 3*u - s, 106*s = 111*s + 15. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*o = -65, -18*u + 13*u + 5*o = -115. Which is the third smallest value? (a) 0.5 (b) 1.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*u - 77*u - 8, -v + 9 = u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 20504404*t\/3 - 27339216.\nAnswer: 2*(t - 10252206)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 34*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 674a + 1?\nAnswer: 674b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-20)*21\/322*(-45)\/(-27).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sccptp. What is prob of sequence stcp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/25)\/(((-2592)\/990)\/(-36))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -1\/10*z**6 + 2*z - 1\/36*z**4 + 0*z**3 + 0*z**2 + 0 + 2\/63*z**7 + 1\/10*z**5. Factor g(a).\nAnswer: a**2*(a - 1)**2*(4*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 32486001 = -2*y, y = 20*y - 2*n - 308616998. Round y to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001976 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w**3 + 4*w - 4. Let c(a) be the second derivative of 9*a**5\/20 - 5*a**3\/6 + 5*a**2\/2 - 6*a + 16086. Let j = -9 + 14. Calculate j*m(d) + 4*c(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -4082\nAnswer: -1224.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-4 + 2)\/(-4). Let r(x) = 4*x**2 + 3*x - 1. Let d(h) = 9*h**2 + 7*h - 1. Let q(i) = 3*d(i) - 7*r(i). What are the prime factors of q(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7748623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 28543*t - 11 - 39 - 28539*t. Let k be g(18). Solve 2*a - 5*m + k = a, 4*a - 2 = 2*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 5 (b) 1\/3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.97 - -31.03. Let g = f + -30. What is the closest to 0 in 3, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose r*z + 5*z - 160 = 0. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10461078 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1327*k**2 - 5845*k**2 - 8604*k**2 - 37381*k**2.\nAnswer: -53157*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39641 + -0.2.\nAnswer: 39640.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -165? (a) 14 (b) -80 (c) -0.4 (d) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/6)*n*n*n**9)\/(n*n**(-7\/5)*n*n**(-29)) assuming n is positive.\nAnswer: n**(1207\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59.4598 + 0.5718. Let j = v - 0.112. Let g = j - -59.00000023. What is g rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68918 less than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 8*r**2 - 4*r - 8. Does 5 divide a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:58 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 807790121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117318372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25130433414 - -5?\nAnswer: -25130433405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 122814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 - 2*b**2 + b**2)*(429 - b**2 + 9*b**2 - 392 + 2*b) as c + x*b + d*b**2 + a*b**3 + n*b**4 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*l - 344. Let n = l - -90. List the prime factors of n.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65906926 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*b = 51, 50 = -8*z + 6*z + 2*b. What is the nearest to -7 in -2, z, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 23717928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862912 is divided by 143817?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/132*308\/(-1). Let k(c) = c**3 + c**2 + c - 1. Let g(t) = -84*t**3 - 77*t**2 - 77*t + 77. Give y*k(b) - 2*g(b).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2450*o**4 - 3*o**3 + o**2 + 359468*o wrt o.\nAnswer: -29400*o**2 - 18*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 + 187. What are the prime factors of k?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -587 + 5287\/9. Let o(g) be the second derivative of 0*g**2 - w*g**4 + 0 + 1\/10*g**5 - 7*g - 4\/9*g**3 + 1\/5*g**6. Suppose o(c) = 0. What is c?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - 2*g**3 - 2*g**4 + g + (3*g**4 - g**4 - 3*g**4)*(1 + 2 - 1) + 3*g**4 - 2*g**4 - 6*g**4.\nAnswer: -9*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d**2 - 2331*d - 376. What is p(194)?\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 5*s - 8. Let o be p(8). Let d be (o\/(-20))\/((-2)\/25). Suppose f - 13 + d = 0. Solve 0*y - 12 = f*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 3. Let u(v) = 12*v - 17. Give -4*h(o) - u(o).\nAnswer: -16*o + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6081\/5 - 1206. What is the common denominator of 1\/11 and q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1409*y**2 - 3 + 3 + 16*y**3 - 1409*y**2.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72121223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 3, j: 3, q: 5, u: 3, b: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:16 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*y + 18*y. Let u(h) = -h**3 + h**2 - 1. Let p(q) = -3*q**3 + 5*q**2 - 4. Give y*p(n) + 5*u(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4201\/8 + 527. Which is smaller: n or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490005241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 + 5*d**2 - 3*d**2. Let b(r) = -57*r**2 + 9*r + 9. Let v(o) = -14*o**2 + 2*o + 2. Let q(n) = -2*b(n) + 9*v(n). What is -22*f(m) + 2*q(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 4*o**2 + 6*o + 3. Let a be g(-5). Let j(z) = 23 - 6*z - 25 - 19. Let y(t) = t + 4. Give a*j(b) - 11*y(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 2497?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126 + 5?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68, 411, 986, 1793, 2832?\n\"Answer: 116*w**2 - 5*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 5*n**3\/6 + n**2\/2 - n. Let k(p) be the second derivative of 11*p**3\/6 + 3*p**2\/2 - 3*p. What is 3*k(b) - 7*s(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1.92323, -2\/3?\nAnswer: -1.92323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -214245366 (base 7) to base 5\nAnswer: -11243300434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 24718.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3132*z + 580*z + 2096*z - 6 + 6 to u*z + q and give u.\nAnswer: 5808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/3 + 4792*f**2\/3 - 1423360*f\/3 + 95289344\/3.\nAnswer: 4*(f - 128)**2*(f + 1454)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*((sqrt(245)*-2)**2 - sqrt(245) - sqrt(245)) + (sqrt(245) - (sqrt(245) - (sqrt(245)*-1 + 5))**2) + sqrt(245)*1*6.\nAnswer: -2965 + 217*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 3:25 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -6*a + 44. Let p(t) = t**2 + 9*t - 19. Calculate the remainder when p(-15) is divided by 128\/7 + a\/(-77).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-11 + 24) - (9 + 1) - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*f - 0*q - 1, -5*q - 13 = -2*q - 9 - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*q - 4*q - 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 34, 19, -14, -71, -158, -281?\n\"Answer: -q**3 + 4*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -246989 + 246930.9897. Let v = -1.3957 + b. Let r = v - -59. What is r rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1171?\nAnswer: 7026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u\/u**(-8)*u))**(-24)\/((u**(-1\/4)\/u)\/u*u*u*u\/(u*u*u**(-14)\/u)) assuming u is positive.\nAnswer: u**(1001\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45\/2 - -769\/34. Suppose -y + 9 = 7. Let v(a) = a - 1. Let d be v(y). Which is bigger: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-102) - (4*(-75)\/(-100))\/(16 - -2)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 2 + 3*j + 3*j**2 - 3*j**2 + 3*j**2. Let a = -75 - -72. Let r(i) = 4*i**3 - 7*i**2 - 7*i + 5. Give a*r(s) - 7*d(s).\nAnswer: 2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 43891744*w - 481621297840384.\nAnswer: -(w - 21945872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 33659270 and 83868.\nAnswer: 33743138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14743583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2118 - -2857. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.225573 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 45. Suppose 14*w = 18*w + l. Let s(x) = 19*x**2 - 12*x - 19. Is s(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 617.601 - 618. Let z = p - 0.101. Which is the second smallest value? (a) -10 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -28*b + 25*b. Suppose -4*v + 5*v - b = 0. Calculate the highest common divisor of 18 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(20))\/(3*(sqrt(40) + sqrt(10)))*-6.\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 1, -0.9 in ascending order.\nAnswer: -48, -0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -6*d**4 - 90590*d**3 - 345192006*d**2 - 24492815754*d + 16481989348 = 0.\nAnswer: -7513, -73, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.539, -3\/2, -2\/11, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 388, 1025, 1662, 2299?\nAnswer: 2936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 2*x + 4. Let n(f) be the third derivative of f**6\/120 - f**4\/24 - f**3\/6 + 42*f**2. What is -2*n(v) - t(v)?\nAnswer: -2*v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 + 0.5. Let n(q) = q**3 - 5*q**2 + q - 6. Let j be n(5). Let a = 67\/4 - 35\/2. Sort h, j, a in ascending order.\nAnswer: j, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -288, -432?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(175)) + sqrt(175))**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 7337804*a - 7337800.\nAnswer: -4*(a + 1)*(a + 1834450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 7193*y**3 - 4*y + 7202*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*z - 267*z = -504 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-10)))\/r)\/r**(8\/3)*((r\/(r\/(r**(-1\/6)\/r)))\/r)**(-18) assuming r is positive.\nAnswer: r**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 197255, 197245, 197229, 197207, 197179?\n\"Answer: -3*f**2 - f + 197259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) -4\/9 (c) 2\/7 (d) -0.2 (e) 2\/3 (f) -154651 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.2 and -5?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 629521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -470601 or -470318?\nAnswer: -470318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 287*h**3 - 2 - 6*h**2 + h + 289*h**3 to f*h + a + d*h**2 + y*h**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**3 - 4*n**3 + 2*n**3)*(-8 + 31 + 0)*(n - 2*n - 3*n) to l + x*n + a*n**2 + g*n**3 + b*n**4 and give b.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1960\/21)\/8 - (-2)\/6. Suppose -7*a - 12 = -z - 4*a, -3*a = -4*z + m. Suppose z*v + 361 = v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 94*s**2 - 686*s + 196. What is the remainder when 3501 is divided by x(-86)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -713*o + 712*o = -208600. Suppose -2*d = 3*v + o, 14*v - 19*v = 0. Round d to the nearest one thousand.\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.629 take away 0.56?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 42 = -4*r - 14, -4*v - 9*r - 37*r - 128 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4496 - 5*l + 4496. Let n(v) = -2*v**2 + v**2 - v**2. Give n(c(s)).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 28*m**2 - 11*m - 1. Let h(u) = -42*u**2 + 17*u + 2. What is 5*h(w) + 8*n(w)?\nAnswer: 14*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 2420652.\nAnswer: 2420652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:55 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 11:41 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2 + 10 - 1 + 4*o + 2. Let y be h(-5). Let c = y - -14. Solve -c = -5*d - 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/(-6)*1192\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -4*x + 4*r, 3*x - 2*x + 4*r = 88. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 0 + 1\/6*h**3 + 1\/6*h**2 - 1\/6*h**5 - 1\/6*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 7*v**2 + 8*v + 7. Let j be b(-5). Suppose 0 = 5*h - j - 78. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91362787 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -1 + -4 + (-3 - 14).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23\/5 + -26\/5. Suppose 0 = 3*w - b - 13, -w = -2*b + 6*b + 13. Let i = -1.6 - -2. What is the nearest to c in w, i, 3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 420473\/11 + -38225. What is the fourth biggest value in 4, 1, u, -817?\nAnswer: -817","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 161*z**2 - 1869*z + 3950. Give a(-172).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5738*k + 17. Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a8b - 5?\nAnswer: a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**2 + 15 + 8*z**3 - 16 - 7*z**3 + 2*z**4 as a*z**4 + d*z**2 + r + f*z + w*z**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, -3, 0.123, 0, 1?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 32 - 38 = 0. Let y = -10 + s. Suppose 0 = -3*v - y*l + 60, -4*v + 103 - 23 = -l. Solve -v = -5*p + p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 172, -1, -798, 1 in increasing order.\nAnswer: -798, -1, -0.1, 1, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvlgoglll. Give prob of sequence ugg.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -17 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -31 + 88 - 256.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w**3 + 7*w**3 + 8*w**4 + (-3*w**2 + w**2 + 0*w**2)*(0*w + 0*w - w**2) - 8 + 8 + 12*w**4 + w**3 - w**3 - w**4 - 7*w**4 - 6*w**4 + 54*w**4.\nAnswer: 62*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - -0.07. Let n = -3.02 + g. What is the third biggest value in -4\/9, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -177*o**2*p**2 - 124237*o**2*p - 4*p**2 - 28*p - 21178 wrt o.\nAnswer: -354*o*p**2 - 248474*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 24 = 3*g, 26*a - 7 = 21*a + 2*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20393359*c**3 - 32396934*c.\nAnswer: -122360154*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 z when three letters picked without replacement from mmmmzmzmmzmzmmmzmz.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10951, 43657, 98173, 174505, 272659, 392641, 534457?\n\"Answer: w**3 + 10899*w**2 + 2*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83510?\nAnswer: 2, 5, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745*x**3 - 762*x**3 - 754*x**3 - 750*x**3 + 3008*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5452528718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10438 by -307.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2170935 is divided by 434166.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/3 - -2*5294\/4?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 112*j + 424 + 134 + 114 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1207 - -1261. Let z be (-4*3\/w)\/((-4)\/6). Suppose 0*y + 1\/3 - z*y**2 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 + 23043010?\nAnswer: 23042421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*y - 2, 0 = 626*x - 627*x - 3*y - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -397 by -272231.\nAnswer: 397\/272231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430 divided by 486?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1908*u + 1876*u - 32 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 347653459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1944))\/sqrt(8) - (-2 + (-2 + sqrt(432))**2).\nAnswer: -434 + 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1839182.436 nanoseconds to weeks.\nAnswer: 0.00000000304097625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254972, -509940, -764910, -1019882, -1274856?\nAnswer: -1529832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2843146*m**2 - 2*m - 8106266.\nAnswer: 5686292*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -b2 (base 14) to base 5\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-20)\/(-5)*(-2)\/4. Is -14\/11 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-33) + 96\/44. Suppose -s = -x*c - 106, 5*c - 400 = -4*s + c. Is s a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28\/85 + 8\/17. Let g be 60\/275 - (-2)\/(-5). What is the nearest to -0.1 in g, k, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 827 = c - 429, 4*c = 2*t - 646. Is t a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 4*s + 2*s + 3*s - 3*s + (-2 + 5 - 1)*(-2*s + 2*s - 2*s) + s + s - s + 2*s + 0*s + 0*s)*(-25*s - 10 + 10).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -968, -1, 4 in ascending order.\nAnswer: -968, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1490\/3 bigger than -496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 - 69*b**2 - 29912*b\/5 - 29568\/5.\nAnswer: -(b + 1)*(b + 168)*(b + 176)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/9)\/((-9)\/(-27)). Let z(p) = 11*p**2 + 3*p + 4. What are the prime factors of z(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:24 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j*j**(-2\/9))\/j*j*j**0*j)\/(j**(-3\/4)*((j\/(j*j**(2\/7)*j))\/j)\/j))**13 assuming j is positive.\nAnswer: j**(25597\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2087054 by 34214.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + d**2 - 1 + 3*d - d. Let k be (-4)\/6 - 1\/3. Let c(t) = -3*t**2 - 4*t + 3. Calculate k*c(s) - 5*i(s).\nAnswer: -2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 2. Let p(z) = -2*z - 11. Calculate p(k) - 3*q(k).\nAnswer: -8*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168 - 61. Calculate the remainder when p is divided by ((6 + 4)\/2 - 1) + 4*6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 13) to base 12\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 1. Let q = 10 + -7. What is the smallest value in -4\/3, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 753 and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 5 = 37*h - 2. Factor -14\/11 + 2\/11*p**h - 12\/11*p.\nAnswer: 2*(p - 7)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122760 = -11950*w + 13314*w for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 + 2*j**3 - 4*j - j**3 + 6*j - 3*j to the form s + v*j**3 + q*j + i*j**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**3*x**2 + 13967*b**3 + 63392*x - 40 wrt x.\nAnswer: 6*b**3*x + 63392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 40. Calculate the remainder when 17 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:45 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 11*n**2 - 5*n - 77. Let h be b(12). Suppose -h*a = -13*a. Solve a = -u - 3*u + 4*v, 0 = u + 2*v - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267 a factor of 11554422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - 1 - 1634*m + 1634*m + 2 - m**3 as i + r*m**2 + q*m**3 + p*m and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177076?\nAnswer: 2, 44269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125402420 by -5380.\nAnswer: 23309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 608 - 603. Let t = 12 + -6. Suppose 0*u + 2*u = t, -a*o - 2*u + 1781 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8) - (-25)\/(-60). Factor -k**2 - d*k**3 + 2\/3*k**4 + 1\/3*k + 1\/3.\nAnswer: (k - 1)**2*(k + 1)*(2*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22003 + 2?\nAnswer: 22005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6 - 9 - 13 + r + 23. Suppose -2*n + 3 = -7. Calculate x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 38*c**2 + 1665*c - 26. Give i(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*o + 7258 - 1867 = -1471 - 2162 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.032. Let y = 0.020663 - -0.011258. Let r = y + x. What is r rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/96 and 13\/1227198.\nAnswer: 19635168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*v - 32, -5*v - 46 + 9 = -3*w. Let s(z) = z - z - w*z + 1 + 3*z. Give s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 1369 - 1697. What is the highest common factor of 41 and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k - 4*b + 17 = 0, 0 = -k + 4*b - 7. Suppose 3*x - x = 4*w - 60, 0 = 2*w - k*x - 30. Calculate the remainder when 43 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t**3 + 6*t - 8. Let b(c) = -c**3 - c + 1. Determine -6*b(d) - z(d).\nAnswer: -6*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 869 = 2*s - w, -4*w = -3*s + 1301. Let i be s\/21 - 16\/12. Suppose i*j - 8*j = 913. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 1 - (-5)\/((-5)\/(-6)). Solve -17 + 2 = -c*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 229232 - 229218. Calculate the remainder when 364 - -3*(-6)\/9 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let m(q) = -2134554*q. Give m(a(u)).\nAnswer: -4269108*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*p - 77, t + 2*p = -2*p + 12. Suppose -t + 1 = -3*b. Calculate the smallest common multiple of b and (28\/140)\/(((-1)\/25)\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + k - 1. Let u(h) = -4*h**3 + 13*h**2 - h - 3. Let i(t) = 5*q(t) + u(t). Factor i(x).\nAnswer: -4*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n**2 + 114*n - 114*n to the form q*n**2 + p + l*n and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442703504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 259, 276, 311, 370, 459?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 - 1525470?\nAnswer: -1525553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (5*sqrt(162))**2*-4.\nAnswer: -16201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -1\/2*j**2 - 196 - 12*j. Let o(b) = -2*b. Give h(o(q)).\nAnswer: 2*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.9604264 days to weeks.\nAnswer: 0.5657752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 13*v - 11*v**3 - 2*v - 11*v**2 + 3*v. Let p(l) = 4*l**3 + 4*l**2 - 5*l. Suppose -35*t - 52*t - 1880 = 148*t. Calculate t*p(j) - 3*r(j).\nAnswer: j**3 + j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 2390 + 1012 = 213*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5956613 is divided by 2978236?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 1272\/(-612))*3\/2. What is the nearest to 0.1 in 0.3, 2, j, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28044*b - 60136*b + 30436*b to u + s*b and give s.\nAnswer: -1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 22*o - 14. Let c be a(10). Suppose 6*i = 3*i - c. Does 4 divide (i - -28 - -1) + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/56)\/((1\/((-8)\/5))\/(3230\/1292))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37112573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 34*s - 22. Determine l(-5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxcxeccmm. What is prob of picking 1 c, 1 g, and 1 x?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 61*f**4\/24 + 1667*f**2. Let v(d) = 18*d**2 - 2*d. What is v(l(t))?\nAnswer: 66978*t**2 - 122*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -28. Let k = 25 + m. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 6. Let h be p(-4). Suppose h*s = s + 4. Is s > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.99 + -0.01. Let a = 12.4888 - 22.4905. Let r = a - y. What is r rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -80, -138, -232, -374, -576?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let b(y) = 204 - 27*y**2 + 28*y**2 - 107. Determine t(b(c)).\nAnswer: c**2 + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Let x = -530 + 1454. Suppose -2*g - x + 124 = j. Round g to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*w**3\/3 - 154*w**2\/3 + 128*w + 96.\nAnswer: 2*(w - 12)*(w - 4)*(5*w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 0.11885, -4 in decreasing order.\nAnswer: 0.11885, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b + 2\/5*b**5 + 8\/5 + 0*b**4 + 8*b**2 - 4*b**3.\nAnswer: 2*(b - 1)**4*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-4)\/(-72)*6*-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3 + 4*z + z**3 + 0 - z + 3*z**2. Let c be 4\/6*54\/(-12). Give d(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y + 2. Let m = -12 + 18. Suppose m*b = 3*b + 15. Put y, -4, b in ascending order.\nAnswer: -4, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 13*q**2 - 4*q - 46. Calculate the lowest common multiple of 10 and j(12).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 96\/3)\/2. Let x be (-46)\/(-4) - (-8)\/o. Is 13 a factor of ((-4)\/6)\/(x\/(-234))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-5)*(-24)\/153*(-3)\/4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 7}. What is prob of sequence mmc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9358 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v. Let x(g) = -13*g + 5*g**2 + 27*g - 14*g. Determine x(k(w)).\nAnswer: 125*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 1 + 1 - 3 + 3 - m + (-2 - 3 + 7)*(-4*m + 3*m - m) + 0*m - m + 3*m)*(5 - 5 - m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 - (14 + 2 - 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + (8 - 5) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 273 - 265. Is 4 a factor of (h*1 - (10 - 7)) + 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 51\/1367908?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2 + 10*n - 9. Let t(c) = 3*c**2 + c - 1. Let r(o) = i(o) - 4*t(o). Calculate r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1, -10\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 3*k**2 - 6*k - 12. What are the prime factors of o(-6)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuhxxxzxhhhhzzh. What is prob of sequence xzhh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 16. Suppose w*r - 32 = -2*g, 1 = -3*r - 3*g + 22. Let s(z) = 3*z**2 - 4*z - 7. Let b be s(r). Calculate the highest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 = -s, -s - 22 = 5*r - 5. Let o(v) = 2*v**2 + 50*v + 96. Determine o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7\/h*h*h*h**(-2\/21)\/h)\/((h*(h*h\/h**(-8))\/h*h)\/(h**7\/h)) assuming h is positive.\nAnswer: h**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, -724 in descending order.\nAnswer: 13, -4, -724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -11*t - 8. Let c be (-2)\/t + (-42)\/(-8). Suppose 8*i - 27 = c. Solve 3*n - 3 = -0*n, 2*g = -i*n + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 2:42 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8683 = -194*h - 2863. Solve 0 = -4*d - h + 38 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -178*m - 532. Let c be b(-3). Let l(u) be the first derivative of 1 - 1\/2*u**c + 0*u. Let f(z) = -39*z**2. Calculate l(f(q)).\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00356 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 367 - 360.1. Round g to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 3 (c) 3\/2 (d) -0.119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970 = 134*i - 132*i. Does 30 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/o**0))\/o*o**(2\/147))\/(o*(o\/(o*o**17))\/o*o*o*o\/(o**(-9\/11)\/o)) assuming o is positive.\nAnswer: o**(19720\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnn. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x = 10. Suppose z = -x*z + 9. Solve -z*n = -6*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28908 divided by 7227?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 0.2, -273, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Suppose 0 = -4*o + d + 44, 0*o + 4*o - 28 = -r*d. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 974321 - 974321 - 437*u + (-3*u + 3*u + u)*(2 + 0 - 1) + u - 3*u + 0*u.\nAnswer: -438*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -17a8372?\nAnswer: 17a8375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*w + 566*w + 1921*w to y + q*w and give q.\nAnswer: 2512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggfmjdjof. Give prob of picking 1 g and 1 o.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 18. Let d be -2*22*8\/h. Let o = 27 - d. Solve 2*g = o*b + 25, 2*g - 15 = 2*b + b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 1389 = u + 13*l, 1424 = u + 5*l. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + -57 + 13 + -2 + 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -10. Let f be -15*(-1)\/j*-1. Solve 5*w - 4*u - f = -0*w, 5*w - 5*u = 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1)*(-11)\/22. Solve 4*v = -12, 2*j + v + 2*v + 9 = g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -30, 2 in ascending order.\nAnswer: -30, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 3 + (-12)\/(-6 - -3). Suppose 3*q = 3*l - 3, -p*l = -4*q - 4 - 3. Solve -q - 1 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586 (base 9) to base 15.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 - 1220220100021?\nAnswer: -1220220021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158726 + -0.1.\nAnswer: 158725.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**2\/2 - 2*n - 1. Let t be q(7). Suppose t = -r - 3*a, -r = -4*r + a + 35. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnb when three letters picked without replacement from {n: 2, b: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -9.2?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 595 + -599. Let i be (-22)\/(-30) + 1\/(-3). Let z = 298 + -2678\/9. Sort z, k, i in decreasing order.\nAnswer: z, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -7*f**3 + 3*f**2 - 6. Let n(y) = -41*y**2 + 11*y. Let q(d) = -5*a(d) + 2*n(d). Find the second derivative of q(s) wrt s.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/145977 and -79\/3552?\nAnswer: 172836768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/(-60)*(-10)\/(-12)*-3*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*z**2 - 340215*z + 3700529 wrt z.\nAnswer: -8*z - 340215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-44))**(1\/12)\/(s**29*s**(22\/9)))**(1\/25) assuming s is positive.\nAnswer: s**(-316\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 98038.08 centuries?\nAnswer: 9803808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -12 + 0*z - 2048\/9*z**3 - 1\/360*z**6 - 32\/3*z**4 - 4\/15*z**5 - 2*z**2. Factor m(q).\nAnswer: -(q + 16)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - t**2 + 324*t**4 + 323*t**4 + 2 - 649*t**4 + t**3 - 36*t as k + w*t**2 + n*t + p*t**3 + g*t**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 180?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2. Let x(d) = -11*d**2 + 2*d + 2. Let n(p) = -p**2 + 2. Let c(t) = n(t) - x(t). Give c(q(v)).\nAnswer: 40*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7045 and -2?\nAnswer: 14090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*p**5 - 1946*p**4 - 77092*p**3 + 145962*p**2 - 80360*p + 13448 = 0. Calculate p.\nAnswer: -82, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 122010?\nAnswer: -121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-12) - (-88)\/(-6). List the prime factors of 8\/20 - 774\/v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62199*j**4*s**2 + 2*j**4*s + j*s**2 + 285*s**2 - s wrt j?\nAnswer: -746388*j**2*s**2 + 24*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 8478?\nAnswer: -29\/8478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(484) + sqrt(484) + 1*sqrt(484))\/(sqrt(2) - sqrt(20)\/sqrt(160) - sqrt(2)) + -1*(sqrt(72) + sqrt(2)) + sqrt(162) + -3)*-2)**2.\nAnswer: 3120*sqrt(2) + 135236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 809 + -806. Differentiate -4*w + 61*w**3 + w + 185*w**f + 3*w - 82 wrt w.\nAnswer: 738*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v + 25. Suppose -6 = 4*o - 6*o. Solve 5*w - v = -g + 2*w, 4*g = -o*w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1814917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115204109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.7 + 15.5. Which is greater: l or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 163 + 40)*(1 + 1 + 0)*(-1 - 74*o + 14*o + 42*o) in the form b*o + j and give b.\nAnswer: -6876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -2, 605 in ascending order.\nAnswer: -2, 2, 4, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64, 52, 28, -8?\n\"Answer: -6*t**2 + 6*t + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 5*x**2 - x - 8. Suppose -2*d = -z + 5*z - 34, 2*z = -3*d + 27. Let s be v(z). What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7.5 (b) 49 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 8*u**2 - 2*u + 8. Let s be q(8). Let t = -0.166 + -0.034. Which is the smallest value? (a) -2 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45, 236, 571, 1062, 1721, 2560?\n\"Answer: 2*m**3 + 60*m**2 - 3*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*(l**(-41)\/l)\/l*l))\/(l*(l*l\/l**21*l*l*l)\/l*l*l))**(-35))**(2\/81) assuming l is positive.\nAnswer: l**(-3920\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**5\/10 + v**4\/12 - v**3\/6 - v. Factor s(c).\nAnswer: c*(c + 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3) + 19\/(-38))*1*45\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u + 1939 = 5*w, -5*u = -5*w - 2480. Suppose -3*z - 737 = 3*h + h, -1205 = 5*z + 2*h. Let q = z + u. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1252069382.\nAnswer: 1252069386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-18)\/4)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73227297?\nAnswer: 3, 11, 13, 131, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*f**2*x - 2*f**2 + 2*f*x - 67*f + 4608*x with respect to f.\nAnswer: 22*f*x - 4*f + 2*x - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 922*q. Let a(n) = 5*n + 3. Give w(a(m)).\nAnswer: 4610*m + 2766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from nnnnnnxxxxaxxnnpn?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*v + 2*o - 272, 5*o - 272 = -v. Calculate the remainder when v is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37.2 or 1?\nAnswer: 37.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by -4\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -45 + 5 - -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31654.\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/15 in 217, -4, 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.835003688 + 0.835. What is m rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 15, a: 5}. What is prob of sequence kakk?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -19*d**2 + 1377426 - 1377426. Let s(q) = -4*q**2 + 5*q + 5. Let p(l) = -2*l**2 + 2*l + 2. Let h(x) = -5*p(x) + 2*s(x). Give h(v(z)).\nAnswer: 722*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 11:44 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 3*m**2 + m**2)*(3*m - 3*m - m**3) + 2*m**2 - 13*m**2 - 9*m**5 + 9*m**2.\nAnswer: -10*m**5 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604218 is divided by 120842.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 6*o**2 + o - 4. Let f be l(6). Solve -3*x = f*x - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1640\/574*(-3 + 1)\/((-4)\/(-7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1.361\nAnswer: -0.4083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + ((sqrt(396) + 2 + sqrt(396))*-4 + sqrt(396))**2 - sqrt(396))*4 + sqrt(396)*3*5 + -4)*3.\nAnswer: 8334*sqrt(11) + 233604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130 + 124. List the prime factors of u + (399 - (-6 + 1)).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/160)\/(6\/240)*(-2 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*b**4 + 2*b**5 + 6 + 14*b**4 + (3*b**3 + 0*b**3 - 2*b**3)*(-5*b**2 + 3*b**2 + b**2).\nAnswer: b**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Suppose a + 5 = -2*f, 4*a - 5*f = -4*f + 25. Sort h, 2, a in ascending order.\nAnswer: h, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -718464, -718475, -718494, -718521, -718556, -718599?\n\"Answer: -4*o**2 + o - 718461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1255, -924, -595, -268, 57, 380?\n\"Answer: -n**2 + 334*n - 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 3*i - 5. Let k be d(-5). Suppose 2*f = 5*w - 10 - 0, k = 3*w - f. Solve 4 = 2*r - w*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:45 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2220 - 2240 = 10*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i*i)**(-1\/2)*i*i*i\/i**10*i**(-2\/9)\/i assuming i is positive.\nAnswer: i**(-157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from {v: 1, m: 9, j: 3, s: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -125. Which is greater: f or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 639803 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = 8288 + 28760. Is -3367 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 0.5, -6, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 - 8*g - 10. Let o(y) = y**3 - 4*y**2 - 4*y + 7. Let c be o(5). Is m(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p - 66*p + 81*p = -2289 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + k**2 + k + 2. Let y(r) = -r + 3. Let q be y(9). Let z = q + 9. Suppose -9 = -v + 3*m, -v - 2*m = z*m + 15. Determine i(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1651844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppd when three letters picked without replacement from {d: 7, p: 2, w: 1, o: 4}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20127324?\nAnswer: 2, 3, 7, 239611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + -0.03. Let p = b + 2.32. Let i = 2 - p. What is the second biggest value in 3, 3\/2, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293703 is divided by 146847.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -593, 2, -12 in decreasing order.\nAnswer: 3, 2, -2, -12, -593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**6\/120 + 23*h**5\/60 + 5*h**4\/6 + 9*h**3 + 660*h**2. Let m be (-1)\/(-2 - -1) + -23. What is the tens digit of i(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*x - 3, 4*j - 55*x = -107*x + 50*x - 22 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(-6)*v*v))*v*v\/v**(-2\/21)*v)**(-23)\/((v\/((v*v*(v**(-9)\/v)\/v)\/v))\/v**(5\/3))**40 assuming v is positive.\nAnswer: v**(-7886\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34569263 rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 948 + -692. What is the smallest common multiple of 224 and h?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 176 - 57*s**2 + 57 - 3*s**4 + 95*s**2 - s**4 wrt s?\nAnswer: -16*s**3 + 76*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(28\/(-56)). What is the highest common divisor of 6 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 16) in base 5?\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 + 0.3856?\nAnswer: -142.6144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. Let c(g) = -6*g. Let l(s) = -11*s. Let y(k) = v*l(k) - 7*c(k). Let w(u) = 0*u - 2*u + u. What is y(w(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (-2 + (sqrt(50)\/(sqrt(30)\/(sqrt(12)\/sqrt(4))) - (sqrt(7920) + (2*sqrt(7920) - sqrt(7920)))\/sqrt(11)))**2).\nAnswer: 368*sqrt(5) + 10592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*(sqrt(72)\/sqrt(4) + sqrt(18)))\/(sqrt(99)\/sqrt(275)) + -5) + 5.\nAnswer: 25 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/2*a**5 + 0*a**2 + 0 + 0*a - 15\/2*a**4 + 25*a**3 = 0 for a.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 2*l - 6*l + (8 + 3 - 3)*(30*l + 7 - 71*l + 34*l).\nAnswer: -58*l + 56","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -217693?\nAnswer: 217693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3288, -1, 103 in ascending order.\nAnswer: -3288, -2, -1, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -19. Find the common denominator of 314\/z - 3\/(-18) and ((-2)\/30)\/(30\/(-2425)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 5. Let w be l(-6). Let b = 18 - -17. Let n = w + b. What is the greatest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -620*v - 24809. What is t(-40)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13725 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: Calculate ((-5002)\/2684)\/(5\/(-110)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.203706 rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/5 + 128062*y**4\/5 - 1024644*y**3\/5 - 1280764*y**2\/5 + 1024642*y\/5 + 1152702\/5 = 0.\nAnswer: -64039, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-151333)\/(-9978) - (-32)\/(-2))*(-4)\/(440\/18).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2088 divided by -9?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*a - 8. Suppose a*i = -i + 18. Calculate the least common multiple of 20 and 99\/i - (-1)\/(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*j - 43*j = -470. Let b be 4\/18 + (j\/9 - -10). Solve -r + 3 = -a + 3*r, -5 = a - b*r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n**3 + 34*n**3 + 2*n**4 - 19*n**3 - 6*n to z + l*n**4 + v*n**2 + q*n + y*n**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 17. Does 24 divide (-635)\/(-10) + 3\/v*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 59 and -592450959.4.\nAnswer: -592450900.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1572574mm to centimeters.\nAnswer: 0.01572574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 969 - 970. Let g = -72 - -218\/3. Which is the third biggest value? (a) g (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 18. What are the prime factors of (6\/4)\/(s\/32)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8695, -8697, -8699, -8701?\nAnswer: -8703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 9 + 17 - 47 + 7 - t**3 - 2*t**4 + 2*t**2 + 7 in the form f*t**4 + k + b*t**3 + i*t**2 + x*t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4691 - -31. What is c rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r + 4*r - 3*r)*(1 + 62*r - 7 - 1 + 2354*r + 6).\nAnswer: -16912*r**2 + 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183974524*r**4 + 290518077*r**2 wrt r?\nAnswer: -4415388576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiqmxnq. Give prob of sequence ki.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 9149916661567.\nAnswer: 9149916661566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000053098136 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -89, -24, 10, -136 in increasing order.\nAnswer: -136, -89, -24, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 5*(2 - -8). Let d = j + -46. Suppose -s = d*s - 88. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:33 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.006698 to 2 dps.\nAnswer: 18.01","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -1)*(737744\/84 - 13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -37\/20, 0, 0.3, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -8. Let h be -15*((-15)\/v - -1). Calculate the greatest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*x**2 - 60 + 60)*(-410*x**2 - 79*x**2 + 77*x**2) + (-4*x**2 + 0*x**2 + 3*x**2)*(5*x**2 - x**2 - 3*x**2).\nAnswer: -4945*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4\/6 - 4*a**3 + 20*a**2 + 400*a\/3 - 86. Factor r(t).\nAnswer: 2*(t - 10)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 20 = -3*h, 0 = 1524*h - 1520*h - 32 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*v - 30. What is the remainder when 27 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (267\/178)\/(-3*(-1)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4110 + 1270 = -4*j. What is the tens digit of j\/(-30) + 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + y + 48 + 33 - 102 + 16.\nAnswer: y + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d - 2. Let x(g) = -1 + 3*g + 0*g + 4*g - 5*g. Let s(m) = -7*m + 4. Let f(w) = -4*s(w) - 18*x(w). What is 5*f(c) + 6*l(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3843216 and 83\/6725628?\nAnswer: 26902512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4 - 39*n**3 - 987*n**2 - 3969*n = 0.\nAnswer: -7, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(396) + sqrt(396)*1))\/(3*(sqrt(9) + 1*sqrt(9))))\/(sqrt(576)*-1*3*3).\nAnswer: sqrt(11)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2\/7 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21630594 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -220293 divided by -41?\nAnswer: 5373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 4 = -26 - 24 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 - 5. Let v = 79 + d. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + h - 0*h, 5*h = -2*y - 12. Let o(x) = -5*x**2 + 3*x - y*x - 4 - x**3 - 6*x. Suppose 10*p - 8 = 12*p. Give o(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/965 + 12919\/3860. Find the common denominator of c and (1\/2)\/(2\/134).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 3*y**2 - 4*y**2)*(2*y + 0*y + 0*y) + 8*y**3 - 2*y**3 - 11*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 149771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 0*r - 2*r**4 - 4*r**4 + 6*r**4 - 3*r**4 - 5*r + 5*r + 2*r**4 + (-r + 1 - 1)*(-2*r**3 - r**3 + 7*r**3).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**5\/8 - 5*z**4\/8 + 5*z**3\/12 + 15*z**2\/4 + 24*z + 15. Let t(r) be the first derivative of d(r). Let t(p) = 0. Calculate p.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121020211002 (base 3) in base 11?\nAnswer: 1a9387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 0, -9\/920, 0.3, 108?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2798 (b) 1\/2 (c) 1.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1137 + 11?\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0069106 + 11.\nAnswer: 11.0069106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 1.5. Let o = 19.08 - 19.6. Let a = -1.52 - o. Which is smaller: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20101058183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 6 (c) 4 (d) 0 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 62*b**2 - 122*b + 101. Give i(60).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -11. Let o = t + 8. Suppose -o*c - 6 = -3*f - 7*c, -2*c + 4 = 0. Solve f = 2*u - u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -59*p**6\/30 + 13*p**3\/6 - 2*p**2 + 13*p - 1. What is the second derivative of r(b) wrt b?\nAnswer: -708*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3002 is divided by 2961.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/25)\/((-2)\/(-5)). Let s = -38\/15 - -124\/45. Let d = -0.1 + 4.1. Which is the nearest to s? (a) -0.4 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 897543 and 12.\nAnswer: 3590172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -25*z - 28. Let t(s) = 13*s + 12. Let w(b) = -6*k(b) - 14*t(b). Determine w(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 4*s - 2*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:04 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(7) + -4 - sqrt(252)*-1).\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 9:29 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -2.4 (c) -7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 15 = 5*l, 3*z - 115 = -5*l - 108 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4524)\/(-8294) - (362\/(-22) + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 1. Let i be v(-3). Let x be -7 - -7 - (1 - i). Which is the third biggest value? (a) 2 (b) 0 (c) x (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31808 and 5396.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.044 - 19.084. Let r = x + 19. Let f = r + 0.04000057. Round f to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 345?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 788.9 + -789. Which is the nearest to f? (a) -2 (b) 0 (c) -13 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-376)\/12 + (-10)\/15. Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 0 + 1038)\/(-2 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(1\/13)*b*b\/((b*(b\/(b\/(b*b**5*b)))\/b)\/b) assuming b is positive.\nAnswer: b**(-40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4037796 - -2417796. What is t rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7332?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**7\/12600 + i**6\/225 - i**4\/12 + 4*i**3 + 70*i**2. Let x(z) be the second derivative of h(z). Find u, given that x(u) = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -972*p + 484*p + 1093*p**2 + 488*p in the form r + k*p + a*p**2 and give a.\nAnswer: 1093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**2\/2 + 10*f + 11. Let p be x(3). Calculate the greatest common divisor of p and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) - (sqrt(250) + 4*-2*sqrt(250)))\/sqrt(10))\/(sqrt(5) + (sqrt(45)*1)\/sqrt(9) - sqrt(720)*2).\nAnswer: -4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - b)*(2 - 1 + 1)*(-5*b - 8*b - 13*b - 3*b - b + 2*b + (-b + 2*b + b)*(5 - 3 - 3)).\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429104?\nAnswer: 2, 13, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 37.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-36)*2)\/((-8)\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1369 = -132*c - 2161 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 14.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpipoi. What is prob of picking 1 o and 2 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 5967. Let n(s) = -192*s. What is d(n(o))?\nAnswer: 384*o - 5967","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 1 - 3 - 8*v**2 + 4 + 0. Is 11 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1 + 4*n**2 - 9 + 4*n + 16. Let a(k) = -k. Let j be a(3). Let w be i(j). What is the highest common divisor of 12 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16, -0.006496, -2\/11, 2\/67?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7 + 4*z - 4*z + z - 10 + 16. Let t(a) = 2*a**3 + a**2 - 4*a + 3. What is t(l) + 4*y(l)?\nAnswer: 2*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34 - -35)*((-1)\/(-3) + (-662)\/1734). Is 1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 5*c**3\/3 + 5. Let t(x) = -4*x**2. Determine t(j(s)).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(3\/957) - -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 4) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, 0.8, -0.5, -8, 5, 0.439?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 229 + -254 + -7 + -5.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*s + z, -3*z = 1620*s - 1618*s + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29778515951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/24 and -31\/105?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i. Let p(m) = -5174*m**2. Give p(s(y)).\nAnswer: -20696*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 + v + 1. Let i be n(2). What is the lowest common multiple of (-1 - i)\/(-3 - -2) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 12, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7788 and 176.\nAnswer: 31152","meta":{"dup_signals":{},"source":"numbers__lcm_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: -0.039 times 964126\nAnswer: -37600.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 743930?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**3 - 2*i**2. Let h(z) = -62*z - 374. Let f be h(-6). Give w(f).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-28 - (-55 - 39)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.8 - -4.2. Suppose 0 = -w + 3*t + 3 - 5, -4*t = -2*w + 2. Put w, -1, x in ascending order.\nAnswer: -1, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84360, -84362, -84368, -84378, -84392, -84410?\nAnswer: -84432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millisecond in microseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1930 + 14*y + 2475 + 2*y.\nAnswer: 16*y + 545","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06 and 1231924222923?\nAnswer: 1231924222922.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 1:08 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 = -2*j, 0 = -4*j - 5*i + 3*i. Suppose -6 = -3*f - 3*a, 3*a + 2 = -j*f - 2*a. Does 18 divide 0 + (f\/(-4) - -58)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h - 2*h + 2*h)*(1 - 5 + 1)*(3 + 2 - 3) to the form s*h + v and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62524\/(-4872))\/((-14)\/6).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48311?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 755255, 755236, 755215, 755192, 755167, 755140?\n\"Answer: -m**2 - 16*m + 755272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/7, -2\/3, 2\/1987, -8, -3?\nAnswer: 2\/1987","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -79175 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (176\/3784)\/((-2211)\/(-1419))\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66054 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 0*a - 3\/5*a**5 + 0*a**4 + 0*a**3 - 9\/2*a**2 + 45. What is the second derivative of t(g) wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 6*y - 1. Let i be l(-15). Let j be (i\/255)\/(2\/(-3)). Let a = 1.14 + -1.13. What is the third biggest value in a, j, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - m + 5 - 4. Let w(b) = 11 - 2 - 1 - 5 + 4*b. Let y(g) = 2*w(g) - 6*x(g). Let d(q) = 2*q. Calculate y(d(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64720 is divided by 21563?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 3232312230031?\nAnswer: 3232312230010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 7:21 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1007 in -1, 3, -2, -16\/155?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101001111011 (base 2) in base 10?\nAnswer: -19067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 2*u + 27. Let c be d(5). Calculate the greatest common factor of c and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 1 = -4*y, 2*j + 3 = -4*y + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 - 9*x**2 + x + 5. Let w(o) = 9*o**3 - 26*o**2 + 3*o + 14. Let p(k) = 4*w(k) - 11*y(k). Factor p(h).\nAnswer: (h - 1)**2*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmprkkkqrqprspp. Give prob of picking 2 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32, 2\/7, -3, -0.2.\nAnswer: -3, -0.2, 2\/7, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 17*x = -48. Let t be (x\/10)\/(3\/(-30)). Let h be (-4)\/12 + 49\/3. Calculate the highest common factor of h and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590 = 191*u + 1275 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**(4\/3)\/n))*n**(-2\/23)*n*(n\/((n\/(n**(1\/4)\/n))\/n)*n)**(-3\/7)*((n\/(n\/(n*n*n\/((n**1\/n)\/n))*n))\/n**5)**(-10) assuming n is positive.\nAnswer: n**(40013\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 32, -10619.\nAnswer: -10619, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 812371*m**3 - 12*m**2 + 13045*m wrt m?\nAnswer: 4874226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*w**2\/3 - 4352*w\/3 + 24.\nAnswer: -2*(w + 18)*(121*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 15*k**3 + 9*k**2 + 4*k + 9. Let u(h) = -7*h**3 - 4*h**2 - 2*h - 4. Calculate 4*p(l) + 9*u(l).\nAnswer: -3*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 100, 99, 100, 103?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 5*r**2 + r - 4. Let w = -205 + 341. Suppose -w*y = -138*y - 10. What is j(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3075*g + 45. Let b(l) = -512*l - 8. Calculate 34*b(f) + 6*u(f).\nAnswer: 1042*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 2*v - 35. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6765, -6762, -6757, -6750, -6741?\nAnswer: -6730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1239*v + 9 - 625*v - 616*v. Let y = -7 - -10. Let i be k(y). Solve i*q = -6 + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -1.05 (c) -30 (d) 3 (e) 1 (f) -773\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037261385 to the power of 1\/2, to the nearest integer?\nAnswer: 32207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, 15, 0, 0.2, 0.4.\nAnswer: 0, 0.2, 0.4, 1.9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 3*g + 5. Suppose -4*a - j + 5 = 0, -2*a - 10*j = -5*j + 11. Suppose -a*v + 26*v = -120. What is u(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 211*x**2. Let o(f) = -f. Calculate a(o(g)).\nAnswer: 211*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.7 + -6. Let n = 1.53 - 10.23. Let i = -14.7 - n. What is the closest to 2 in -0.1, p, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -92. Calculate the remainder when f is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81589.3 millilitres to litres.\nAnswer: 81.5893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 586 - 1786\/3. Let h = -19\/2 - y. Let o = -4.7 + 0.7. Which is the smallest value? (a) h (b) -2\/9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + r + 2977 = 0, 1825 + 10081 = 4*a - 3*r. Suppose 101400 = 25*m + a. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 - g + 6. Let t(a) = -4*a**2 - 2*a + 7. Let o(d) = -5*c(d) + 4*t(d). Calculate o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (418120\/564462)\/(-1 + (-51)\/(-45))?\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**4\/8 - r**3\/6 + 6*r**2 + 5*r. Calculate j(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 - q**2 + 2 + 8 in the form l*q + c + g*q**2 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 11:24 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*k**5 + 15*k**5 - 69*k**5 - 4 - k**5 + 4 + (3*k**3 - 2*k**3 + k**3)*(3*k**2 - k**2 - 4*k**2) + 0*k**5 + 2*k**5 - k**5 + 2*k**5 - 2*k**5 + 2*k**5.\nAnswer: -99*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 a when four letters picked without replacement from auuuaauaauuaa?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 1)*25\/(-20). Suppose 5 = -4*x + b*x. Suppose 4*w = 3*r - 2, -1 = -2*w + 5*r + x. Sort 2\/15, 4, w in descending order.\nAnswer: 4, 2\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375 divided by -68?\nAnswer: -5375\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9) + 26\/6. Let b(i) = -p + 10 - 7 - i. Let y(d) = 4*d + 3. Determine 7*b(c) + 2*y(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.004*-0.023366.\nAnswer: 0.000093464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k - 2 + 2 + 0. Let z(r) = 40 - 2*r**2 - 40. What is u(z(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 35*y - 26 - 26*y + 71*y + 69.\nAnswer: 10*y + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -73 (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001101111111010101 (base 2) in base 13?\nAnswer: -9442ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:16 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20838*w + 44 = 3*s - 20833*w, 2*s + 0*w + 22 = 4*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 + 3*g**2 + 2*g**2)*(192 + 335 - 87 + 1338) in the form f + q*g + u*g**2 and give u.\nAnswer: 7112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23092 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (-1 - -5) + (-11 - (-15 - 11)) - 69\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -642? (a) 6\/23 (b) -1\/2841 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11478 (b) -7 (c) 2\/3 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 57*z**3 - 108 + 106.\nAnswer: 57*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13552 and 97?\nAnswer: -1314544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -392539 divided by -7\nAnswer: 56077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 555.319 - 555. Let u = i - 21.619. Round u to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47, -86, -125, -164?\n\"Answer: -39*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 - 4*f**4 + f**4)*(-3 + 1 + 0 - 1 + 2 + 0 + (0 + 4 - 2)*(-1 - 1 + 4) + 1 + 5 - 10).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*6\/15 - -3. Let z = -155 - -1393\/9. Which is the third biggest value? (a) 2 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 67\nAnswer: -8\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143\/54 + 14\/27. Is -0.4 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-50)\/(2152\/(-536) - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 11*x + o + 1716, 0 = 4*x - 4*o + 976. Is -252 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 43 + -74 + (-2 - (9 + -11))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 109\/(-5884)*5*-251. Let f = k + 2\/1471. Calculate the common denominator of f and 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ab81 (base 13) to base 6\nAnswer: 302450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jljkqjqkdlddlkddldqk. Give prob of sequence kq.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17429 and 3255617?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*q + 9787 = -1661 - 3942 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/101 or 22?\nAnswer: -3\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 1, 0.4, -0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.5, 4, -0.051, -2\/3, -5, 9, 0.\nAnswer: -5, -2\/3, -0.051, 0, 4, 9, 9.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338, -677, -1016, -1355?\nAnswer: -1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1649*s**2 - 45*s + 4. Let q(v) = v - 19. Give l(q(u)).\nAnswer: -1649*u**2 + 62617*u - 594430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, -3, -0.5 in descending order.\nAnswer: 15, 4, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 363 = 4*w, -6*w + 2*w = 3*v - 213. Let j be -2*(v\/6)\/(-5). Suppose -m + 18 = -4*a, -2*a - 39 + j = -3*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 665117 + -247266. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -2) + -2 - -3. Suppose 0 = -0*m - t*m + 28. Let r(g) = -g**3 + 6*g**2 - 8. Let f be r(m). Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 27. Put 4, -2, g in descending order.\nAnswer: 4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aazn when four letters picked without replacement from {o: 3, y: 1, z: 1, n: 5, a: 3, w: 4}?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 846 = -5*v, 2*v = 4*x - 218 - 112. Let c = -177 - v. Which is smaller: -2\/59 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 20. Let b = 13 + r. Let i = 21 - b. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -2*o**5\/15 - 5*o**4\/6 - 36*o**2. Find the second derivative of q(r) wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from selug. Give prob of sequence su.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 3*o. Let p(d) = 3*d - d - 2*d - 4*d - d. Calculate c(p(x)).\nAnswer: 50*x**2 + 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 37*d = 41*d + 1326 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21941602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 + 87 = -6*n. Let u be 1944\/30 - 2\/(-10). Let b = n + u. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = 26*v + 4*f, 154 - 143 = -v + 5*v - f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 51*x. Let m be d(0). Solve m = 5*v - 4*p - 1, -4*v + 3*p - 5 = -6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m**2 + 1. Let w(f) = -2*f**3 - 4*f**2 + 6*f - 4. Let v = -269 + 270. Give v*w(y) + 4*n(y).\nAnswer: 2*y**3 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 127494450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 4 (b) -3\/5 (c) 2 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -50852*i - 111. Is w(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 280.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 66339.\nAnswer: 66339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 1489, -0.3, -1, -35.\nAnswer: -35, -1, -6\/11, -0.3, 1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m - 2 - 11*m + 1 + 16*m + 0*m. Let i(c) = -c**2 + 6*c**2 - 5*c - 5*c - 1. Let o(f) = -i(f) + r(f). What is the second derivative of o(s) wrt s?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 58. What is the remainder when m is divided by 56\/9 + (-6)\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9893447 years in decades?\nAnswer: 0.09893447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/12*-27*3731\/(-1638).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72560?\nAnswer: 2, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 516, 2096, 4730, 8418, 13160, 18956, 25806?\n\"Answer: 527*k**2 - k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 440 divided by -8\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 677 - -65. Let j(u) = u**2 - 5*u - 6. Let y be j(13). Suppose -6*q + y = -o. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 48*t - 462. Give d(-12).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016194576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4949*h + 168342. What is b(-34)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-537)\/(-18) + 0 + (-1)\/(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226 * 4\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2556, 0, 3, 9\/5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 3*m**2 + 201*m**3 - 387*m**3 + 192*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*o - 18 = 0, 6*o - 15 = 5*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*a**4 - 2*a**4 + a**3 - 2*a - a**2 + a**4 to k*a**3 + n*a**4 + v + w*a**2 + g*a and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (169\/26)\/1*2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 5. Let j(a) = -a**3 + 6*a**2 + 7*a - 7. Let p be j(7). Let f be t(p). Suppose -i + 3*i = 4. Solve -4*o + i*s + f = 0, -2*s = o - 0*s - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + 176\/6. Suppose -g - 3*g + 4*w = -164, -2*w + 90 = 2*g. Suppose -38*z = -g*z + 375. What is the greatest common divisor of x and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -2\/23, -0.2, 3, 3\/2, -4 in descending order.\nAnswer: 3, 3\/2, -2\/23, -0.2, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1120 - 1116. Solve -4*y - 2*p - 24 = 0, 8*p - 12 = v*y + 4*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6384000 to the nearest 100000.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 + 2)\/((-2)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3825346.16 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 48*k**2 - 14*k + 720. Calculate u(48).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t - t**4 - 4 + 2 - 10*t in the form m*t**4 + g*t**2 + z*t**3 + o*t + a and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/257, -3\/8, -2\/13 in descending order.\nAnswer: 4\/257, -2\/13, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**3 + 2043720*s**2 + s - 6405519.\nAnswer: -24*s + 4087440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edlcg. Give prob of sequence edc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 124756?\nAnswer: 124756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*f**2 - f**2 + 2*f**2)*(0 + 1 + 0) - 2*f**2 + 0*f**2 + 6*f**2)*(-868 + 868 - 1218*f) to c*f**2 + t + d*f**3 + h*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-6) + 0 - 2\/(-3). Suppose -5*z + 3*u - u = 23, 0 = v*z + 4*u + 19. Put z, -4, 3 in increasing order.\nAnswer: z, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59\/(-7434)*-18)\/(((-24)\/7)\/(-4))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 32 and 0.02646.\nAnswer: 32.02646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.077183, -1\/6.\nAnswer: -1\/6, -0.077183, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**3*x - 849*u**2*x - 5*x + 29 wrt u?\nAnswer: 3*u**2*x - 1698*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44205990481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.814 - -1.8. Let m = 62.014 + z. Let v = 61.9942 - m. What is v rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - g - 24. Suppose -l = -24 - g. Suppose -3*h - 2*w + 50 = 0, -5*h + w = -20 - 72. What is the greatest common factor of h and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 2057632.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**28*t*t*(t*t**(10\/3))\/t)\/(t**(-49)\/t*t*t**(2\/7)) assuming t is positive.\nAnswer: t**(1723\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04172 - -149.45828. Which is greater: l or -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15511 or 1\/16?\nAnswer: -15511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5581*d**3 - 4*d + 154?\nAnswer: 33486*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 11*o + 14. Suppose 5*i - 1 + 51 = 0. Let h be n(i). Suppose -32 + h = -4*w. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 34250509?\nAnswer: 4\/34250509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 12073 + 11236 - 2*c + 4*c.\nAnswer: -2*c**2 + 2*c - 837","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - 2*y**2 + 0*y**2 + (-4*y + 2*y + y)*(7*y - 2*y - 3*y) + 0*y**2 - 8*y**2 + 0*y**2.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53150 is divided by 352?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3) + 35 + -37. Which is the nearest to 1\/3? (a) -4 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 297 = 5*u. List the prime factors of u.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46653484 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 28138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -505352 - -5015553\/10. Let n = i + 3801. Find the common denominator of n and 8\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 2. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 422 = 436. Suppose o - 1 = 5*r - 16, 0 = -5*o + 3*r - 31. Sort v, o, 3 in decreasing order.\nAnswer: v, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15224614 (base 7) in base 8?\nAnswer: 5423551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 923084 and 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - b - 2. Let w(l) = -2109*l**2 - 259*l - 518. Calculate -259*k(t) + w(t).\nAnswer: -2627*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20804, -20912, -21200, -21758, -22676, -24044?\nAnswer: -25952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -2\/27, 35169 in increasing order.\nAnswer: -2\/27, -0.02, 35169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 21797916.\nAnswer: 21797916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 13. Let d be -2*2\/z*6. Suppose -d = -3*b - 0. Calculate the remainder when 4 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*w + w**3 - 78*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 13. Let b be ((-4)\/x)\/((-4)\/40). Let h = b + -1. Solve -h*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/(1\/(-20)). Suppose -5*s - 2*i = 84, s - 5*i + 2*i = -27. Let a = d - s. Solve -11 = -g - g + 3*n, 3*n + a = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*s**2 + 2*j**2*s + 179*j**2 - 56071*j*s**2 - 2*j*s + j wrt j.\nAnswer: -4*s**2 + 4*s + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -577, 1319, 1, -3 in descending order.\nAnswer: 1319, 1, -3, -577","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 0 + 1 - 19*i**3 + 23*i**3. Let j be a(1). Solve j*c + 20 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/12*(-4 + 2). Let v = 10 - 11.2. Let f = 0.8 + v. Which is the third biggest value? (a) p (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from qccccccqccqccc?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31440 + -22261. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59754 rounded to the nearest 1000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*149\/174 - (405\/(-30) + 16)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 257 + 288 + 2*d**2 + 248 - 628 - 41*d. Let h be s(6). Let a = -19 + 27. Is a < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 2*o - 166*o - 66*o.\nAnswer: 2*o**3 - 234*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/9 + (-6)\/(-27). Is 7 a factor of 1\/(z\/(0 - -51))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1043*m**4 + 46409*m**3 + 932305*m**2 + 3?\nAnswer: 25032*m + 278454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*(-2 + 16\/5). Let l = -6 - g. Suppose -21*k + 3*k + 972 = 0. What is the highest common divisor of l and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, -7\/10, -6, -5, -0.5, 1\/5, 0.48?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 3\/19 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -5, 60, 0, -3 in descending order.\nAnswer: 60, 0, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = y + 5*v, -4*y + 4*v + 2 = y. Let r = -188 + 2066\/11. What is the third biggest value in 3, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*i = 5*i + 71, -4*a + 98 = -3*i. Suppose -25*z + 70 = -a*z. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1378\/231 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, 0.343, -1 in descending order.\nAnswer: 0.343, 0, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**7\/1260 - g**5\/12 - 4*g**2. Let t(m) be the third derivative of u(m). Let h(n) = 5108 - 5108 + 2*n**2. Determine h(t(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from yyoyoyyyyyyyy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let v = 121 + -118. Let j(a) be the second derivative of -2\/3*a**v - a + 0*a**2 + 0. Give j(s(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -2*l. Suppose -2*j + 7 + 3 = 0. Suppose 8 = -t + 5*n, 4*t + 5*n - 4 = 14. Solve l*w + 2*d - 13 = 1, j*w - t*d = 22 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b + 3*m - 6 = 0, -4*b - 2*m = -20. Suppose n - 10 = -3*x, b*x - n = x + 5. Let h(d) = 29*d - 4. Is h(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0 - 1\/210*f**7 - 13\/60*f**5 + 0*f - 1\/2*f**4 - 2*f**2 - 2\/3*f**3 - 1\/20*f**6. Factor h(n).\nAnswer: -(n + 1)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 67*l**4\/12 + 3*l**3 - l**2 - 29*l - 2. What is the second derivative of p(h) wrt h?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**2 - 15*k - 11. Let h(q) = -q**2 - 3*q - 2. Let d(n) = -11*h(n) + 2*r(n). Let p be d(3). Suppose p*b - b + 14 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 110021301?\nAnswer: 110021300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 2*y - 20. Let r(k) = -4*k**2 - k + 21. Let n(i) = 2*r(i) + 3*s(i). List the prime factors of n(8).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 19*u - 13. Let n be d(10). Let r be ((-12)\/18)\/(2\/n). Which is smaller: r or 1\/332?\nAnswer: 1\/332","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {c: 2, v: 2, g: 1, m: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*k - 7*k - 0 - 135 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/50574 and 55\/518358?\nAnswer: 4369239582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3431803*81.\nAnswer: -277976043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 591 divide 79823415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v + 5*v + 8*v + (v - 3*v + v)*(-5 - 6 + 3))*(14 - 14 + 14*v).\nAnswer: 154*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3426006 is divided by 1478.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2638121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96832 divided by -178.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 11*b**4\/4 - 7*b**3\/3 + 6*b + 68. Let c(i) be the first derivative of 5*i**4\/4 - i**3 + 3*i - 9. What is 7*c(p) - 3*h(p)?\nAnswer: 2*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/12*34\/(850\/(-105))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < 6\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*x - 6 + 4234 = 1091 - 1615 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13535491, -13535515, -13535539, -13535563, -13535587?\nAnswer: -13535611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.11 + -16. Which is the second biggest value? (a) -1\/7 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 3*t + 78, -2*t + 5*t + 735 = -m + 713 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -37*v**4\/12 - v**3\/3 - 3*v**2 + 2*v + 25. Find the second derivative of d(b) wrt b.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbffbbfbffbb. What is prob of picking 4 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 66. Let k = c - 66. Does 14 divide (-6)\/k - (-151)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(475)*2 + sqrt(475) + sqrt(190)\/sqrt(40)).\nAnswer: 31*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*r + 8 - 40, -2*n + 3*r - 9 = 0. Suppose -156 = -l - n*l. Suppose -2*b = -61 + l. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 - 89*d**3 + 810*d**2 wrt d?\nAnswer: -48*d - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v = 32*v. Let p(b) be the third derivative of 0 + 0*b**3 + 0*b + v*b**4 + 7*b**2 + 13\/60*b**5. Let a(q) = q. Calculate a(p(w)).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (3 + (5 - 9)) - (8 - 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 540*j**2 - 5*j + 540.\nAnswer: 5*(j - 108)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + sqrt(242)*1 + 1)**2 - (sqrt(242) + 4 + -1 + sqrt(242) - -3*(sqrt(242) - 1*sqrt(242))).\nAnswer: -88*sqrt(2) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = 0. Suppose -f + 5 - 2 = q. Suppose 0 = -7*d + 3*d - 5*z + 15, -f*d - 5*z + 10 = 0. Solve -4*s = -d - 3, s = 5*y + 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 776613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/2*68\/(-96390)*-45\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 12) in base 11?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848 divided by 2.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 2aab5493?\nAnswer: -2aab5493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 - 1 + 1 + 2*l + (18 - 18 - 3*l**2)*(3*l - l - l).\nAnswer: -5*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*o**3 - 2*f**2*o**2 - 2*f**2*o*u**3 - f*o**3*u**2 + 14*o**3*u**5 - 37*o**2 wrt u.\nAnswer: -12*f**2*o + 840*o**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 1. Let y(v) = -5*v**2 + 3*v + 21. Let d(p) = 4*w(p) + y(p). Let l be d(-4). Put l, -2, 2\/13, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/13, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.47 + -0.53. Let u(x) = -x**3 - 5*x**2 - 3*x. Let s be u(-4). Which is the smallest value? (a) 2\/9 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -583 - -583. What is the nearest to h in 3, -4, -1\/90, 0.1?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqaz when four letters picked without replacement from {j: 5, q: 1, y: 2, a: 1, z: 1}?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-10*s - 8*s + 6*s)*(-s**4 + 6*s**4 - 3*s**4).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53291645, 106583288, 159874931, 213166574?\nAnswer: 266458217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-4) + 3\/(-6). Suppose 0 = y + 1 - n. Suppose -2*z + 5*z = -a + 22, -y*z = -a - 41. What is the remainder when 26 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5843 (base 10) to base 5.\nAnswer: 141333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 406 + -407. Let x = 914\/63 - 100\/7. What is the biggest value in 2, o, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z + 5*w = 8, -2*z + 1 = -w. Suppose -b + 4*b + z = 2*g, -4*g = 2*b - 10. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 13. Suppose -3*x = -x + 16. Let r = -1 - x. Determine w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 135857\nAnswer: 8\/135857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47559678, 95119360, 142679042, 190238724, 237798406?\nAnswer: 285358088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -503505*j**2 - 556693*j wrt j.\nAnswer: -1007010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-3 + 1 + 0)*(1 + 2 - 2)*(-1 + 3 - 4)*(-73*i + 41*i**3 + 73*i).\nAnswer: 328*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 1 = -11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/25 (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 10*d + 3 = u, -22 = -d + 4*u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*v + 30, 0 = 14*t - 19*t - 5*v + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (2 + 1 + sqrt(52))) + -3 + 2*sqrt(13) + 4 - (-4 + -2*sqrt(13) + -3 + sqrt(13) + -1 + (sqrt(117) - -2*sqrt(117))\/sqrt(9)*4).\nAnswer: -9*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/527 or -1?\nAnswer: 6\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1568).\nAnswer: -140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 7*v**2 + 9*v. Let l be c(-5). Suppose -s - l*w = 4*s, -4*w = 2*s + 2. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4*m - 12, -8*m - 36 = 4*w - 4*m. Let h(x) be the second derivative of -x**5\/20 - x**4\/2 + x**3\/3 - 3*x**2\/2 - x. Calculate h(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -0.22. Is -0.1 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -10\/213, 28183 in descending order.\nAnswer: 28183, 1\/7, -10\/213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 5\/24*r**4 + 0 + 0*r**3 + 0*r - 1\/20*r**5 - 2*r**2. What is the second derivative of i(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2630 + -2632. Let k(f) = 6*f**2 + 11*f + 41. Let p(o) = o**2 + 2*o + 8. Give m*k(x) + 11*p(x).\nAnswer: -x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 616218112 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 prob of sequence enmx when four letters picked without replacement from exnmeww?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2016 + -1076?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 3:47 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 0 - (12\/3 + -94). Suppose 15 = -3*h + m. What are the prime factors of (-608)\/(-6) - (1 - h\/15)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**2 + 269*m - 2350. Give g(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**4)\/d*d**(-3\/4))\/(d**(2\/17)\/(d**6\/d))*((d*d**(-1)*d)\/((d*d**5)\/d))**(1\/45) assuming d is positive.\nAnswer: d**(27673\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3230704, -3230705, -3230712, -3230731, -3230768?\nAnswer: -3230829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p**3 + p**3 - p**3)*(-p + 3*p - 4*p) + (3*p**3 - 4*p**3 + 3*p**3)*(-2*p + p - p) in the form v*p**2 + h + f*p**4 + c*p**3 + d*p and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-924)\/126)\/(1\/(-8751))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2. Let o(p) be the third derivative of -p**6\/180 + p**3\/2 - 3*p**2. Let f(i) be the first derivative of o(i). Determine f(z(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/15)\/(i*i**(-2\/33)) assuming i is positive.\nAnswer: i**(-59\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 56*r**2 - 721*r - 8. Calculate o(20).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-1 - -2))*9. Let g(m) = m**3 - 9*m**2 + m + 11. Let x be g(i). Suppose 0*q + 2*q - x = 0. Solve -4*k = k - q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Let o be a\/(4\/(1*12)). What is the greatest common factor of 42 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/3*11175\/108025\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 151419437*o**4 - 1151696806*o**3 - 469434420*o**2 - 62337800*o - 2744000.\nAnswer: (o - 8)*(533*o + 70)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukkg when four letters picked without replacement from guggukgugu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -16*f**2 - 228*f - 18. What is the remainder when y(-12) is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -28670*j**2 - 14*j + 7. What is q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 28*y + 9735 = 0. Let r = -288 + y. Calculate the least common multiple of 15 and r.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137, 545, 1225, 2177, 3401, 4897?\n\"Answer: 136*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**4 + o**2 + 1. Let u(l) = 4*l**4 + 19*l**3 + 2*l**2 + 12*l + 5. Let n(w) = -5*b(w) + u(w). What is the third derivative of n(h) wrt h?\nAnswer: -24*h + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 20*v + 23. What is s(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 5*p = -26*q - 51, -5*q + p - 23 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.07315 weeks in milliseconds?\nAnswer: 3673041120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:46 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + 2*z**4 + 4 - 3*z**3 + z + 4*z**4 to the form t*z**4 + b*z + w + x*z**2 + g*z**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 364?\nAnswer: -364.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-9)\/k*k)\/k)\/(k**(-3\/2)*k))\/((((k\/(k*k**(-3\/10)*k))\/k)\/k)\/k**(-3\/10)))**30 assuming k is positive.\nAnswer: k**(-213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 2587579765.17.\nAnswer: 2587579761.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 99, 1\/2, -73, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -129, -120, -107, -90, -69, -44?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 36 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*y - 18*y - 208. Calculate the highest common divisor of 26 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44594 = -106*r + 50000 for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/54 - j**3\/9 - 2*j**2\/9 - j. Factor w(b).\nAnswer: -2*(b + 1)*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 251 and 2523711377.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*j**2*w**3 - j**2*w - 2*j**2 + 2*j*w**2 - 291*j + 14*w**3 wrt j?\nAnswer: 298*w**3 - 2*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.1903 + -0.2803. Let j = 1.81 - x. Round j to zero decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*2 + ((-660)\/2145 - 356\/26). Determine o so that 2*o - 2\/7*o**d + 0 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 1 - 7 + 3*a**3 - 4*a**3 + 9*a**2 - 4*a. Let w be u(8). Let o(j) = -j**2 + 10*j + 4. List the prime factors of o(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 23 = -u + 3*u, 2*u - 3*k - 17 = 0. Suppose -2*a - u = -z + 2, -2*a = -2*z + 12. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -14. Let z = 4.92 + v. Which is the smallest value? (a) -3 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 25*i + 44. Let k be s(-6). Suppose k*d = 1128 + 2568. What are the prime factors of d?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x**2 - 4*x + 4. Let s = -15 - -16. Let g be l(s). Let h(r) = -r + 15. Calculate the remainder when 23 is divided by h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 + 6b3?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-6))\/(4\/40). Let p(c) = c**2 - c - 3. Let x be p(0). Let r be -1 + (0 - (4 - 5)). Sort f, r, x in descending order.\nAnswer: r, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 52957755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 20*b**2 + 29*b + 12. Let s be t(-23). Which is bigger: s or 934?\nAnswer: 934","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szk when three letters picked without replacement from szskzszzzzzzsskz.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y + 50. What is the least common multiple of 16 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-2))\/((-2)\/4). Suppose 3*k = -4*c + 9, 0 = -3*c + 4*k - 5*k + 3. Let f = 3 + c. Solve f*h = 2 + v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.8 + 7. Let y = 4.2 - z. What is the nearest to 1\/3 in -2, -4, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2360 + 10496. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27410207 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -144586227 = -144586225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6 - 2 = 3*r, -2*x = r + 2. Let h(i) = 83 + i + i + 3*i - 85. Let s(f) = -6*f + 1. Calculate r*s(m) - 5*h(m).\nAnswer: -m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-9)\/(-24))\/3.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 7)*(-2)\/(-3). Let n(x) = x**3 + 3 - x**2 - 4 - 4*x + 5*x**q + 0. Calculate n(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 2. Suppose 4*u + 0*u = 5*a - 32, -4*u = 4*a - 4. Let v(g) = -2*g**2 + 10*g - 5. Let h be v(a). Suppose h*k = -k. What is f(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -116*u + 1056. Let z be h(9). Calculate the highest common factor of 528 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**3 - 6*z**3 + 20106*z - 20121*z as u*z**2 + q*z**3 + p*z + f and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 4, -87 in increasing order.\nAnswer: -87, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + g = 12, n - 2*g + 0 - 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + 2*s)*(59*s - 17*s**3 - 59*s)*(-2 - 2 + 2)*(0*s - s + 2*s + 2*s - 1 + 1 + (-4*s + 3*s + 0*s)*(1 - 2 + 2) + s - s + s + 19*s + 3*s - 5*s).\nAnswer: 1360*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from cwwwywywwyyccwyyyw.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8.67 - -1228.396\nAnswer: 1219.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2\/u*u*(u**27\/u)\/u*u assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, -7, 204, -1, 5, -36.\nAnswer: -36, -14, -7, -4, -1, 5, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 25828.16 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 59*b**2 + 2*b + 1. Is m(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + 19*u**3 - 5*u - 69*u**3 - u + 34*u**3. Let w(g) = 3*g**3 - g**2 + g. Determine 2*m(c) + 11*w(c).\nAnswer: c**3 - 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.043, 21, 0.14, -2\/9, -0.1?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*x + 30, -2*x - 2*i = -6*x - 28. Let q be (x\/(-6))\/((-4)\/(-24)). Let w(m) = 4*m + 0*m + m**2 - 4*m - 1 - q*m. What is w(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 216997?\nAnswer: 1518979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 2*c**2 + 99*c + 3. Calculate z(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*q**2 - 289*q**2 - 142*q**2 + 110*q**2 - 6*q**2 + 496.\nAnswer: -718*q**2 + 496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*m - 10 = 0, 3*m = 3*d + 9 + 6. Suppose d = 4*a + a + 3*b - 11, 0 = a + 4*b + 8. Solve -z = -f - a, 2*f - z = 2*z - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**3 - 2*o**3 - 2*o**3 + (-2*o + 3*o - 3*o)*(-o**2 - 5*o**2 + o**2) - 26*o**3 - 38*o**3 + 3*o**3.\nAnswer: -50*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -4. Let p = q - -5.8. Let s = p - -1.1999932. What is s rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Suppose 0 = u*t - 4. Let i be (135\/(-54))\/(10\/20). Sort t, -2, 5, i in decreasing order.\nAnswer: 5, t, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 4 - 7) + -1 + 3 + -14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2231*l - 2226*l + 5 = 0, 3*c - 4*l = 3 + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -11*j + 31. Let g(w) = -1. Let l(k) = -21*k + 57. Let o(c) = 4*g(c) - l(c). Let z(p) = -7*i(p) - 4*o(p). What is the tens digit of z(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 9 = 3*d - 8, -d + 7 = -3*m. Let r(j) = -j**2 + j + 1. Let z(t) = t**2 + 7*t + 5. Let b be z(-6). Let a be r(b). Put a, d, 3 in decreasing order.\nAnswer: d, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.43 and 0.48397.\nAnswer: 0.2081071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5)\/b*b**(1\/3)*b)**(-11) assuming b is positive.\nAnswer: b**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266553 is divided by 15679.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 8, 4*f - 2*r - 6 = 2. Let w be 0\/(-2 + f - -4). Suppose j = -w*j + 12600. What is j rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -62848\nAnswer: 35\/62848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 186499513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 290? (a) 0.1 (b) 10998 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 2, z: 2, w: 2, n: 1}. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-10) - -5 - (-3)\/(-2). Suppose 27*m - w = 29*m. Which is the nearest to m? (a) -2\/9 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**3\/3 + 11*p**2\/2 - 7. Let m be d(5). Let u = m + 4. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58\/4)\/(-1)*12\/(-9)*(-27)\/54\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41640059 and 0.01.\nAnswer: -41640058.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a factor of 12895465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2. Let m(p) be the third derivative of p**6\/180 + p**3\/2 + 2*p**2. Let j(c) be the first derivative of m(c). What is j(s(y))?\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 1197. Suppose -3*t + z = -7*t - 3*v, -4*t = 2*v + 402. What is t rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s**(2\/7)*s)\/s))*s)\/(s*s*s*s*s**(-1\/23)))\/(s*s\/((s*s*s\/(s*s**1)*s)\/s)*s*s)**(-1\/9) assuming s is positive.\nAnswer: s**(-1129\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 20 + 5. Sort 2, z, 1, 4 in descending order.\nAnswer: z, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 279*z - 5. What are the prime factors of m(1)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 126780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 3*r + 24, -5*r + r = -l + 23 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 704343145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 9. Let q(u) be the third derivative of -3*u**4\/8 + 92*u**2. Calculate b(q(x)).\nAnswer: -81*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/15 + 1521\/(-15). Let d = v - -108. Suppose 0 = -2*c + 5*p + 51, p - 40 = -2*c - d. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-4)*0)\/1. Suppose q = -4*m + 3*m + 20. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 - 4*h - 3. Determine q(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/3 - 482*o**2 - 15700*o\/3 - 8544 = 0. Calculate o.\nAnswer: -712, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.61 (b) 12 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000752814 rounded to 7 decimal places?\nAnswer: -0.0000753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99783186?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 26.9. What is the second biggest value in -2\/13, g, -0.7, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1 = -u + 22, -5*u + 40 = 2*p. Solve -u*j - 10 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3.3. Suppose 0 = 3*m + m. Let k = -5 - m. Put b, -1, k in descending order.\nAnswer: b, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1963 - 2706 - 4394*d - 2340 + 1203 + 1431 wrt d?\nAnswer: -4394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473 is divided by 138?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 383, 611, 841, 1073, 1307?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32942, 65910, 98904, 131936, 165018, 198162?\n\"Answer: 2*t**3 + t**2 + 32951*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*n - 3, -4*i - 3*n + 3 = 14. Is -2*((-33)\/6 - i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = s - 5*j, 2*s - 8 = -0*s + j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46711*w - 47146*w = 34365 for w.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2. Let f(c) = 413936*c. Give f(g(z)).\nAnswer: -1241808*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 16*c**2 - 4*c - 2. Let g = 377 + -379. Let d be u(g). Solve -30 + d = 8*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44696\/4 - 1\/(8\/48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - x + 26. What is the remainder when 76 is divided by d(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/91, 37, 4?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 284 - 280. What is the fourth biggest value in -1, r, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 2123?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7189 - 4418 = 1906*k + 49886 + 24277 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (84 - (-65 - -140)) + -17 + -1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:05 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - h + 3, -4*i - 2*h + 553 = 551 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45, 70, 133, 252, 445, 730, 1125?\n\"Answer: 3*k**3 + k**2 + k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 4.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 9. Let x be b(0). Let i(c) = c + 9. Calculate i(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1140074777 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*l - 157 + 877. Solve 11*v = -v + l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.34 - -0.16. Suppose -1367*s = -1358*s. Which is the third biggest value? (a) s (b) f (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 850233 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42*42\/2205*(-1180)\/16\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2376 + -507. Suppose 0 = z - 5*i - b, 255 + 3467 = 2*z - 2*i. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.1001. Round t to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -11)*715\/(-35035)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(4\/(-2)) + -2. Let v = z - -8. Let w be (-2)\/(-7) + (-38)\/(-14). Solve -w*c + 2 = -4*q, -v*q + 1 = -2*c - q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 0)*(2*p**4 - 1 - 263*p + 5895*p**3 + 38*p - 5896*p**3).\nAnswer: -8*p**4 + 4*p**3 + 900*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/35, -947.2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-2 + 2 - (0 + sqrt(1872)*2) - ((-1 + sqrt(1872))*-1 - (3*(1 + sqrt(1872)) + sqrt(1872))))**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + -4 - (1 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1079*w - 3. Let z(h) = 720*h + 2. Let d(b) = 2*g(b) + 3*z(b). Let s = 2 + 0. Let a(i) = 2*i**2 + 0*i**2 + i**s. Determine a(d(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52259 is divided by 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-6 + 5 + -1). Suppose m*g - 13*g = -60. Suppose -4*s + 57 = -5*c, -3*s - 4*c + c = -63. Calculate the highest common divisor of s and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wflfigo. What is prob of sequence lfig?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = 6. Suppose 8*h = -21*h + 145. Solve -2*k + h*t = 6, v*t = 3*k + 3 + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -1 (c) 5 (d) 3\/13 (e) 2183 (f) 1 (g) 1122\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 54 = -4*f, -19*f - 20 = -2*p - 17*f. Suppose 0 = -p*x + 12175 - 1899. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8\/w**(2\/5)*(w**1)**12)**(-22\/5) assuming w is positive.\nAnswer: w**(-2156\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in 0.5, 4, 0.011?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivv when three letters picked without replacement from vviv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.192 nanograms in grams?\nAnswer: 0.000000095192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57633688 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + 4)\/(1\/(-2)). Let w be (-4)\/n + (-22)\/(-24). Which is the nearest to 0? (a) -1 (b) w (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -111, 2, 1, 2\/9, -3\/2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i - 22*i - 25*i - 30*i - 54*i - 25*i + 186*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -494 + 531.46. Round v to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.6 in -3\/4, 2\/3, -1, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Factor -2*o**3 - 8*o + 16 + 60*o**y + 52*o**3 - 64*o.\nAnswer: 2*(o + 2)*(5*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -2*t**3 - 144. Let z(d) = -7*d - 35. Let f(g) = 1. Let w(l) = -35*f(l) - z(l). Calculate r(w(y)).\nAnswer: -294*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -727 + 1160. Let v = -391 + r. Calculate the smallest common multiple of 49 and v.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -30 - (216 + -299)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(1*sqrt(144) - sqrt(144)) + sqrt(144) + sqrt(144)))\/(sqrt(2) + (sqrt(2) - sqrt(2)*-1)*-2 - (sqrt(70)\/sqrt(5))\/sqrt(7))*-2.\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v - 1467. Let t(s) = -8*s + 969. Determine -5*q(x) - 8*t(x).\nAnswer: 4*x - 417","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = 14 - 62 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 5*f**2 + f + 6. Let a(y) = y - 1. Let p(x) = -6*a(x) - b(x). What is p(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4699760, 9399518, 14099276, 18799034, 23498792?\nAnswer: 28198550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 9*n**2 + 4*n - 14. Let q be v(9). Find the second derivative of -4 + 21*d**5 - 4*d - 20*d**2 - q*d**5 + 2 wrt d.\nAnswer: -20*d**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9632.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 5:27 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 93919611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30240\/(-192))\/63 - (-257)\/102.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 24*m + 3. Let x(o) = -8*o - 1. Let s = -13 + 24. Let a(y) = s*x(y) + 4*j(y). Calculate a(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28827 (base 10) in base 13?\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**2 + 145*c + 660 = 0?\nAnswer: -4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.714 + -0.37361.\nAnswer: 0.34039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13164 by -4.\nAnswer: -3291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - z + 1. Let d(c) = -2512*c**4 - c**3 - 3*c**2 + 3*c - 601. Let x(t) = d(t) + 3*v(t). Differentiate x(s) wrt s.\nAnswer: -10048*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1838*l**4*y + 3*l**4 - l**3*y + 3*l**2*y - 2*y - 1281 wrt l.\nAnswer: 44112*l*y + 72*l - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/594)\/(7\/(-21))*-1*1.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -182*o + 190*o - 6960. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**3 + 19*m**2 + 5*m - 8. Let v(n) = -2*n**3 + 6*n**2 + 2*n - 3. Determine -3*u(w) + 8*v(w).\nAnswer: 2*w**3 - 9*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33639 - 33639.00095688. Round j to 6 decimal places.\nAnswer: -0.000957","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - 4*u**2 - 5*u - 1 + 0*u as g + y*u**2 + v*u and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*179.5.\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.954275 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {q: 2, a: 1, d: 1, l: 2, b: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 3\/(9\/21). Suppose 2*j = f, -n = 5*j - 2*j - 3*f. Suppose -2*d + j = -2. What is the least common multiple of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -11. What are the prime factors of (-29)\/(-3) + b\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13023397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, and 1 r when three letters picked without replacement from qwqsqsqbbssxsrq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1447 = 3*s + 158. Let d = s + 781. List the prime factors of d.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 6) to base 11.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*l**4 + 7*l**4 - 11*l**4 + (-5*l + l + 2*l)*(-l**2 + l**2 + 3*l**3) - 16*l**4 - 12*l**4 + 3*l**4.\nAnswer: -43*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1500986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:33 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -384215261355 from 1.\nAnswer: 384215261356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*2\/6. Let g = -8681\/35 + 247. Let z = g + 10\/7. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 6*r - 10. Suppose 3 = 2*f - 11. Let a be h(f). Let x be (a\/(-6))\/(2\/12). Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3908 - 505?\nAnswer: -4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 9. Suppose 3*h + 19 = 244. Let t be (0 - -1)\/((-145)\/h + r). Solve -c + 4*c = -t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 7)*(-3*d**2 + 2*d**2 + 2*d**2)*(6 - 3 - 1).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**5\/30 - 5*d**4\/24 + d**3 - 2*d. Let g(o) be the second derivative of q(o). What is the first derivative of g(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q - 3. Let l be k(2). Suppose -3*s - 80 = -5*j, -j + l*s = -0*j + 6. Let x be j\/(-76) - (-5)\/(-28). What is the nearest to 1 in 1, 3\/2, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 14) in base 7?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-360)\/(-104))\/((-14091)\/11102)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 68, 89, 128, 191?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-370)\/(-20))\/((-9)\/6 - -2). Let r be 8\/52 - p\/(-13). Suppose -v = r*v - 4*t - 28, 4*v + 12 = -4*t. Solve 3*w + 2*w = v*i - 2, -3*w = 3*i + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least as big as 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 23*p. Let t(z) = -2*z**2 + 113*z - 113*z. Determine h(t(f)).\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a61 (base 12) in base 16?\nAnswer: 5e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + -13.2. Let w = j - -10.99935. What is w rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*b - 25, -h - 6 = b - 3. Let i be (0 - h)*9\/((-36)\/8). Solve 4*o - 18 + i = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/(-45))\/(18\/(-735)) and 99\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 5*d**2 - 59*d + 95. Calculate t(12).\nAnswer: -1621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*l - 22, -10*l = -15*l. Solve 3*o - u = -i, 9*o + 11 = 8*o - 4*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvvzvvwwfvzvvvvzvv. Give prob of sequence vzv.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 8. Let i(g) = 4*g + 12. Let z(w) = 7*f(w) + 5*i(w). Let u = 1 + -1. List the prime factors of z(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2502465 + 333?\nAnswer: -2502132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 3034.2?\nAnswer: -3038.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4332855974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 44*x**3 + 2*x**2 - 5*x + 7. Let h(a) = 89*a**3 + 4*a**2 - 11*a + 15. Let y(j) = -13*d(j) + 6*h(j). Let r be y(-1). Is r less than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -171, -160, -145, -126, -103?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 616448 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/12 - (-1639300)\/4656. Calculate the highest common divisor of o and 1848.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m**2 + m. Let v be n(-1). Suppose -19*l + 3 = -20*l. List the prime factors of l + v - -3 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)*n**12)\/(n**(8\/9)\/(((n\/(n\/(n\/n**(1\/6))*n)*n)\/n*n)\/n)) assuming n is positive.\nAnswer: n**(53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t + 153*t = 2952. Solve -8*b - 144 = -t*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 20*v - 94. Let k be j(24). Suppose 3*m + 20 = 2*c + 2*m, -5*m = k*c + 4. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 24 - (-139 + 111 + -78)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560021 and 6974807.\nAnswer: 76722877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -50. Let o(q) = 5*q**2 - 3 + 8 - h - 3. Let w(z) = -z**2. What is w(o(l))?\nAnswer: -25*l**4 + 20*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -97, -142, -205, -292, -409, -562, -757?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + (sqrt(14)\/sqrt(18) - sqrt(7)))*3 + 5 + (-1*sqrt(70))\/sqrt(10))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -16) + -11 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -394 - -396. Solve h - 2*w + b = -w, 5 = 5*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/10*-3 - 72\/40.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3388*u**2 - 12588*u?\nAnswer: 6776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 37*c**3 - 10*c**2 + 18*c + 369. Let h(q) = 56*q**3 - 14*q**2 + 27*q + 554. Let u(m) = -5*h(m) + 7*j(m). What is the first derivative of u(x) wrt x?\nAnswer: -63*x**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(5) + 5 + 1 + sqrt(605) + -1)**2.\nAnswer: 192*sqrt(5) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84873 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.01 + 14.03. Which is the closest to 1? (a) p (b) 3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*k - 16. Solve 0 = 2*z - 3*h + k + 7, -z - 3 = h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236\/105 + -74\/35. What is the nearest to -15 in 4, -5, -0.5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 23 + 5 = 0. Let r be (-3)\/(-1) + 4 + v. Let l be (-2)\/(-2 + r - -3). Put l, -0.4, 2\/11 in increasing order.\nAnswer: l, -0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3741 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 3*d**2 - d - 3. Let t be y(4). Let a = t + -6. Let f(r) be the third derivative of r**6\/120 - r**5\/30 - r**4\/12 - r**3\/6 - r**2. Give f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -716*v**3 + 8*v**2 - 259*v + 16. Let i(r) = -238*r**3 + 3*r**2 - 86*r + 6. Let w(q) = -8*i(q) + 3*j(q). What is the second derivative of w(c) wrt c?\nAnswer: -1464*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 5*p**2 - p - 4. Let c be q(-5). Let d(t) = -1. Let a(b) = -6. Let u(w) = c*a(w) - 5*d(w). Let m(h) = -h - 5. Determine -m(l) + 3*u(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 14154306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1095787.791ns?\nAnswer: 0.0000000018118184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7)*(c\/((c\/(c*c*c**(-2\/15))*c)\/c))\/c*(c**(12\/7)\/c)**47 assuming c is positive.\nAnswer: c**(2881\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 14*q**2 + 24*q. Let g be t(12). Let d(o) be the second derivative of 0*o**2 - 1\/30*o**5 + g*o**3 + o - 1\/9*o**4 + 0. Factor d(p).\nAnswer: -2*p**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.56 - -14\nAnswer: 13.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 60190*k + 181141805.\nAnswer: 5*(k + 6019)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, -673, -679?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1337.96 times 0.23\nAnswer: 307.7308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 62*z**2 + 128*z - 478. Let u be q(60). Solve 0 + 2\/9*l**u + 0*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:49 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*h - 16, m - 3*m - 8 = 0. What is the smallest value in h, 16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**7\/252 - 7*x**6\/180 + 11*x**5\/120 - x**4\/72 - 2*x**3\/9 - 90*x**2. Factor t(j).\nAnswer: (j - 4)*(j - 1)**2*(5*j + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-2 - 0\/(-4)). Let p = -364 + 369. Suppose 0 = 4*s - 3*d + 21 - 8, p = -5*d. Is s bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5646, 5652, 5662, 5676, 5694, 5716?\nAnswer: 5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d + 18. Let n be d\/12 + (-31)\/(-2). What is the highest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51370871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 84, -3, 0.3, 5\/3, 0?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.26917054 rounded to three dps?\nAnswer: 1.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)\/((-1)\/5). Let z(r) be the second derivative of r**5\/20 + r**4\/3 - 5*r**3\/6 - r**2\/2 + 13*r + 7. What is z(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w. Suppose w = -c - 0 + 4. Suppose c*q = -4*u + 116, q + 4*u - 7 = 19. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29041\/30 + 2935\/3. Let h = -39 - -42. Calculate the common denominator of g and -4*(h - 129\/66).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-495)\/63 + 2\/(-14). Let m = p + 14. Solve 5*d = -4*z - 31, m = 2*d - 5*z + 2*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 6. Let w = 25 + -11. Suppose -2*u + 1 = z - 5, 3*u - w = z. Does 10 divide x(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c - 58 = 0. Let n be -4 + (-48)\/(-9) - 388\/(-6). Suppose 102 = 18*s + n. What is the highest common factor of c and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/5 + (-1)\/5. Suppose 26 = -0*c + j*c. Let a = c - 10. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 14. Let j(k) = 2*k**2 - 10*k + 9. Let l be j(t). Let z = 14 + -9. Solve 2*c + 0*c + 7 = -o, -4*o + l = -z*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1064858*m. Let n(y) = 30*y**2. What is f(n(s))?\nAnswer: 31945740*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b - 3. Let t(q) = q + 1. Let o(m) = l(m) + 2*t(m). Let v = 2 - 1. Give o(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 6a?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 124, 324, -1\/7, 0.3 in decreasing order.\nAnswer: 324, 124, 4\/5, 0.3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2\/11 (c) -3\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) + sqrt(1331) + 0)*1)**2 + sqrt(1331) - (-1 + -2*sqrt(1331))**2) + 3.\nAnswer: -33*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26138, -52146, -78152, -104156, -130158, -156158?\n\"Answer: z**2 - 26011*z - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90825 divided by -15.\nAnswer: 6055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -6. Let d(l) = -l + 5. Let v be d(1). Suppose 27 - 39 = -v*w. Which is the nearest to -2\/5? (a) m (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*n - 5*o - 5, 0 = 4*n + 2*o - 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4621*n = 4618*n + 3, 3*k + 33 = -5*n for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3748 + 39c?\nAnswer: 3b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from {k: 7, u: 1, f: 3, i: 1}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14731027 from -1.\nAnswer: -14731028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5307)\/(-9) - (145\/15 + -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 11*k - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -23. Let a(n) = 9*n - 3. Give a(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -19*m + 283. Calculate d(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**3 - 3*h**2 - h + 3. Let p be d(-1). Solve 0 = 2*z - p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17340093 and 39843?\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 5*g**2 - 7*g + 1. Let y be x(-4). Let n(d) = 10*d - 7*d + 23 - y. What is n(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60, 127, 196, 267?\n\"Answer: a**2 + 64*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(19) - (1*sqrt(38))\/sqrt(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7526 is divided by 993.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.21 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.297 from 77603804.\nAnswer: 77603803.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by -57.\nAnswer: 67\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 7562 = -10*o. Does 30 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-58)\/(-6) - (-4)\/(-6). What is the greatest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*c = 1103743 + 762056. Is 39 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**6\/120 + 4*k**5\/15 - 13*k**4\/8 - 10*k**3 - 2414*k**2. Calculate m(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 124.71 and 1.7.\nAnswer: 212.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 8 = 4*h + 12, -4*h = -x - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 23*p + 30*p - 6 - 61*p. Give u(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (sqrt(85)*1 + sqrt(85) + sqrt(85))*2)\/sqrt(5) + 2.\nAnswer: 2 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -7a?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 5:10 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 179*h - 758 + 3431, -60 = -5*m + 3*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 215 = 1951. Let s = 22 + -15. Suppose b = -g + s*g. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 - 156.99. What is b rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w + 27*w = 48. Let i be (-18)\/(-8)*(-16)\/w. Suppose 0*b + i*b - 219 = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:37 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (76\/1710)\/((-2)\/(-6)) + (-152)\/(-210)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 13) to base 3.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572, -808, -1044, -1280, -1516, -1752?\nAnswer: -1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9805778.2 + -9805795.2000007. Let a = -35 + 18. Let c = a - u. What is c rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002173263 to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 8*l**5\/5 + 9948*l**4\/5 + 14888*l**3\/5 - 19884*l**2\/5 - 14896*l\/5 + 9936\/5 = 0.\nAnswer: -1242, -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + k - 1. Let o(h) = -h**2 - 27*h - 64. Let f(s) = -4*n(s) + 2*o(s). Factor f(r).\nAnswer: 2*(r - 31)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.5 - 2. Let r = i - 6. Put 2, r, -11 in descending order.\nAnswer: 2, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/r**(1\/9))))\/r**3)\/(r**(5\/4)*r*r**8*r))**31 assuming r is positive.\nAnswer: r**(-14911\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 3 (c) 1 (d) 0.2 (e) 0.79 (f) -55 (g) -6\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13863 = 1677*t - 85974 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/133 and -113\/3920.\nAnswer: 74480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1\/2, 1, 0.3 in decreasing order.\nAnswer: 1, 1\/2, 0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 60\/9 - (-1)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44504 = -70*x - 240504. Which is greater: -2797 or x?\nAnswer: -2797","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 42) + -19 + 8 - -108?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -34*p + 969. Determine h(27).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = q - 7, 5*m = -1 - 4. Solve -5*b - 40 = -u + q*u, 32 = -3*b - 4*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0869*-0.00379.\nAnswer: -0.000329351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*o + 24*o - 2*o - 129*o.\nAnswer: -186*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, z: 1, j: 2, h: 1, m: 1, u: 7}. Give prob of picking 2 u and 1 j.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -6*q. Suppose q*b + 2*b - 21 = -u, -30 = -3*b - u. Let g(v) = -v**3 + 10*v**2 - 9*v + 14. Is g(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -617 + 617. Let j(o) be the third derivative of f*o + 1\/12*o**4 - 5\/6*o**3 + 0 + 7*o**2. Differentiate j(w) with respect to w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.06 - 7. Let o = z + -2.26. Let d = o + 0.2. Put 2\/3, 4, d in decreasing order.\nAnswer: 4, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21723607357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/107 in 0, 1, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.99, 10, -0.09?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 times 0.102?\nAnswer: 62.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.106 * -25.1\nAnswer: 2.6606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 190333?\nAnswer: 190338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-90)*(-6)\/(-5).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epjeeej. Give prob of sequence pj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030008601 rounded to 5 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -654437, -1308876, -1963315, -2617754, -3272193, -3926632?\n\"Answer: -654439*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110*h**2 - 114*h?\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7+0.35298\nAnswer: 7.35298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 18270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1650*p. Let n(l) = 198*l**2 + 22*l - 3. Calculate n(z(k)).\nAnswer: 539055000*k**2 - 36300*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 30*y - 61*y. Suppose 2*l - 1790 = 5*f, -8*l - y*f + 3580 = -4*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 2*i - 378. Let h = 118 - i. What is the remainder when 149 is divided by h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93206 divided by -2?\nAnswer: 46603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96940, 96954, 96964, 96970, 96972?\nAnswer: 96970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52885?\nAnswer: 5, 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -890.0932 - -0.0932. Let p = 889.7955 + j. Let u = p + 0.2. What is u rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at most 4.458916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*p + 17, -5*d - 5*p = -9 + 39. What is the biggest value in -2.09, d, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*sqrt(80) + 5)**2 + -5*(sqrt(80) + 1).\nAnswer: -140*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 + -4.03. Let w = -1 + 0.5. Let o = 0.0446 - 0.0046. What is the closest to -1 in b, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, g: 2, y: 4}. What is prob of picking 1 w and 2 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 1)*(3*o - 3*o - o) - 3*o + 7*o - o)*(-3 + 0 + 1)*(-4 + 1 + 1)*(-o**3 + 2*o**3 - 3*o**3 + (-2 + 6*o + 2)*(-2*o - 2*o**2 + 2*o)).\nAnswer: -224*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -8 + 2. Sort 1, m, -3.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207 + -202. What is the second derivative of 22*v + b*v - 29*v + 142*v**3 - 35 wrt v?\nAnswer: 852*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959667418?\nAnswer: 2, 17, 31, 59, 31513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b + 2*b)*(-13 + 12 - 33).\nAnswer: 68*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*r + 3*k + 3 + 21, 16*k + 136 = -8*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12458728855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.54 at most 3.2785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-1)*(15 + 1). Let q(o) = -o**2 - 13*o. Let i be q(-9). What is the greatest common factor of i and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 531, 0 in ascending order.\nAnswer: 0, 1, 2, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53079 by -1.\nAnswer: -53079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/3*(-39)\/((-4719)\/110).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 9. Let k(z) = -z**3 - 7*z**2 - 4*z + 7. What is k(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - -24. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5778, 5786, 5806, 5844, 5906, 5998, 6126, 6296?\nAnswer: 6514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542 + u**2 - 542.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -27, -20, -13, -6, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -13) + 13 + -19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -638b + 20286?\nAnswer: 15ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11983, -11985, -11979, -11959, -11919, -11853, -11755?\nAnswer: -11619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 3072.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*l**3\/8 - 969*l**2\/8 + 2013*l\/4 - 387 = 0. Calculate l.\nAnswer: 1, 4, 258\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*r - 46, 114*a - 110*a + 2*r + 6*r + 104 = 0 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -411 + 1237\/3. Let n(b) be the first derivative of 4 + 0*b + u*b**3 + 0*b**2. Let r(a) = -a. Give r(n(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13298608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7672, 8072, 8472, 8872, 9272, 9672?\n\"Answer: 400*d + 7272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -65, 0.2, -72\/7, 0.3?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -12*k**2 - 6*k. Let i(u) = 11*u**2 + 5*u. Suppose w = -6, w - 274 + 275 = -r. Determine r*v(c) + 6*i(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 33 + -17 + (11 - 17).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -125, -12342, 0.07 in descending order.\nAnswer: 0.07, -19, -125, -12342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36347 rounded to 3 decimal places?\nAnswer: 0.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from ysdsclsys?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + 2*(sqrt(76) + 4 + sqrt(76)))*4 + -4)*6)**2.\nAnswer: 80640*sqrt(19) + 1122624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y - 5. Let j(q) = 3*q - 2. Give 10*j(z) - 4*s(z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 - 0)\/((-3)\/14). Let h = p - 39. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 - 130. Suppose 4*x = 5*m + 544 + 786, -x + 324 = s*m. List the prime factors of x.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 62*z + 1221. Determine k(-20).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v - 2. Let q(c) = c. Let b(z) = -d(z) - 6*q(z). Let s = 183 - 183. Suppose -48 = 12*y - s*y. Calculate b(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-28)*(-3)\/(-12)*6.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/((-294)\/(-444)) + 7. Is -4 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q - 1. Let m be b(1). Let f be (-62)\/(-36) - 6\/m. Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-6))\/(8\/36). Suppose -z*a + 9 = -3*g, 0 = g + 3*g + 12. Suppose 7 = 5*u - 38. Solve -t = 2*x + 13, a - u = 3*t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -13. Suppose -5*n = -0*n - 2*d, n = j*d - 13. Let a be (-4 + 4)*1\/(-2). Solve n*x - 2 - 2 = a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*x**3 + 22*x**3 + 5*x**2 - 41*x**3)*(3*x - 51 + 14 - 2*x).\nAnswer: 3*x**4 - 106*x**3 - 185*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -353994 or -353987?\nAnswer: -353987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*2\/6*1*-2. Let w be ((-3)\/y)\/((-21)\/70). Suppose 2*l - 65 = -5*z, w*l + 35 = z - 5. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -143*v. Let h(p) = 4*p**2. Determine m(h(r)).\nAnswer: -572*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, w: 2}. What is prob of picking 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100001100011011 + 0?\nAnswer: 101100001100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 209\/5 + 8\/5*q - 1\/5*q**2.\nAnswer: -(q - 19)*(q + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -1 + 13 + -12. Suppose g + 3*g - 68 = h. Let z = 23 - g. Solve 2*d - 5*d + z = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11)*746295\/(-63322).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 0.11?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - u - 12304, -4*a - 2*u - 1121 + 10981 = 0. What is the remainder when a is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 412 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqdeeeddbdbddbbd. Give prob of picking 1 d and 1 e.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2025 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 12. Let y be q(5). Suppose 4*z - 18 = y*z. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/120 - x**5\/10 + x**3\/3 - x**2. Let s = 17 + -11. Let j be q(s). Solve -5 = -3*f + j*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1471395 and 1165?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 18) + 420\/28. Put -78, m, -23 in descending order.\nAnswer: m, -23, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10595*q + 63575. Give i(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32520391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2649 - 2410 + 39858 = 397*g. Solve d = g - 99 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 6806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2\/3*h**3 - 32\/3*h + 44\/9*h**2 + 64\/9 = 0.\nAnswer: 4\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9616, -39756, -90428, -161638, -253392, -365696, -498556, -651978?\nAnswer: -825968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.8.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42527 - -42542. Let o(g) = -g**3 - 6*g**2 - 2*g - 2. Let l be o(-3). Let u = -6 - l. Which is bigger: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9049 - 174.2351. Let r = -175 - y. What is r rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - z - 2 = 2*t, t = -4*z - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = 9057. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1128\/329)\/((-138)\/(-644))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -55564?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8773365 divided by -5?\nAnswer: -1754673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r + 8. Let q be d(-3). What is the biggest value in 0, -1, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4914893 times -0.4?\nAnswer: 1965957.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -721 less than -5237351.05?\nAnswer: -5236630.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5023 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.7449 to one decimal place.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5925087 to the nearest integer?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3669803*b**4 - 3695997*b?\nAnswer: -44037636*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -40.29.\nAnswer: -41.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.0976 + -2.0976. Which is the closest to 77? (a) m (b) 3 (c) -2\/13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**3 - 3*j**2 + 5*j - 9. Let n(a) = -4*a**3 + a**2 - 3*a + 5. Determine -5*n(k) - 3*s(k).\nAnswer: -k**3 + 4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 12*b**2 + 7*b + 7. Let g(u) = 4*u**2 - 2*u - 2. Suppose 4 = x - 3. Suppose -212*j + 276 = -30*j - 88. Determine j*w(i) + x*g(i).\nAnswer: 2*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 1. Let w(q) = -q**3 + 8*q**2 + 12*q + 12. Let f(z) = -5*c(z) - w(z). Let r be f(9). Sort -12, r, -2 in increasing order.\nAnswer: -12, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 + 99. Let u(g) = 5*g**2 - 9*g - 10. Let x(y) = -4*y**2 + 8*y + 9. Let z(p) = l*x(p) - 3*u(p). What is z(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -3. Suppose 18*n - d*n = 300. What is n rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/2))**(-27)*(v**1)**(-33))**(24\/13) assuming v is positive.\nAnswer: v**(-1116\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 49?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(22)\/(sqrt(77)\/sqrt(7))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Suppose -5 = -5*t - 0, 2*p - w*t = 11. What is the least common multiple of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144832005 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.051939633 or 2?\nAnswer: -0.051939633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -66\/10501, -3, 11, 3?\nAnswer: -66\/10501","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7495, -4673, 31, 6617?\nAnswer: 15085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -13. Let m be 7\/((-28)\/40)*(-1077)\/(-66). Let n = 163 + m. Which is the nearest to -1? (a) n (b) -4\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4508 and 21482?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20132 - 10?\nAnswer: -20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.129 - 1149772183.9?\nAnswer: -1149772184.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 3:31 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 3. Let p be z(0). Let h be (-18)\/p + (2 - 0). Let v = h + 5. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 442 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:50 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -35) + 47 + -23\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t + 101. Let m(l) = -8*l + 84. Let w(j) = 5*f(j) - 6*m(j). Let i(z) = 9*z**2. What is w(i(n))?\nAnswer: 72*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/661, -9, -0.1, 0.1, 0.\nAnswer: -9, -0.1, 0, 2\/661, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339188 is divided by 535.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -46, -46, -48, -52?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 2 - 2)*(-1 - 2 - 1)*(z**3 + z**3 - 4*z**3).\nAnswer: 16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 98 + 28 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41442 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/55 - 1\/11. What is the smallest value in j, -5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/11 - 260*y**2\/11 + 72750*y\/11 - 3150000\/11.\nAnswer: -2*(y - 75)**2*(y + 280)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 15 = 0, -5*d + 5*u - 30 = -0*d. Let l(p) = p**2 + 8*p + 17. Let o(h) = 2*h + 4. What is d*o(b) + 2*l(b)?\nAnswer: 2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n - 7*n**2 + 0*n**3 + 6*n - 5*n - 6 - n**3. Let r be h(-8). What is the third derivative of -2*t**3 + 6*t**r - 3*t**2 - t**3 + 0*t**2 wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b**2\/b)))\/b**(-1\/6)*(b**2)**(-43))\/(((b**2*b)\/b)**(-25)*(b**2*b)**(-43)) assuming b is positive.\nAnswer: b**(559\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -0.46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 5*g**2 + 2*g - 4. Let w be d(5). Find the second derivative of -w*c**5 + c - c**5 + 5*c - 2*c**5 wrt c.\nAnswer: -180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -10 + 13 + 7\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 12 = -2*d - 3, -5*d + 30 = 4*c. What is the smallest common multiple of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 29*n - 34*n = -79, -5*x - 2*n + 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m**3 + 19*m**3 - 9*m**3 + 8*m**2)*(2*m**2 - 2*m**2 + m**2).\nAnswer: 2*m**5 + 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/924 - 273\/11)*(0 - -1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.605458241 rounded to four decimal places?\nAnswer: 2.6055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 230231440 (base 5) to base 10\nAnswer: 1023995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22977247483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/697198 and -13\/282?\nAnswer: 2091594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 12, 0 = -2*h - i - 2 - 3. Calculate the least common multiple of ((-2)\/(-5) + 16\/60)*15 and h\/((-2)\/12) - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*q**3*s + q**3 - 15640*q**2*s + 40614176*q*s + q wrt q.\nAnswer: -222*q*s + 6*q - 31280*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s*x**3 - s*x**2 + 513318*s - 7779754*x**2 - 99*x wrt x?\nAnswer: -6*s*x - 2*s - 15559508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 divide 26991952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 3407712.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -547, -1 in ascending order.\nAnswer: -547, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3244, -3119, -2992, -2863, -2732?\n\"Answer: f**2 + 122*f - 3367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/20)\/((-6)\/20)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 15 = -3*r. Suppose g + 3*s + 7 = 0, -22 = r*g - 2*s + 10. Let c(w) = 4500*w**2 + w + 10. Let q be c(g). Round q to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(72) - -4*(sqrt(72) + 0))**2 + ((2 + sqrt(72) + sqrt(72))*-3 + -3)**2.\nAnswer: 648*sqrt(2) + 7281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - x = -22, -2*m = -4*x + 1 - 3. Which is the third biggest value? (a) m (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439*l - 286*l = 2754. Solve l*r + 45 = -9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3)*213*-4. Suppose 4*g - 17*k - z = -20*k, 0 = 2*g - 5*k - 168. Calculate the remainder when 514 is divided by g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(0 - 2 - -3). Suppose 0*h + b = 3*h. Let g(u) = u**2 - 4. List the prime factors of g(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-18 - 2) - 2163\/12. Let k = u + 176. Sort k, 4, 5.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.361 + 47.361. Let c = 55.3 - d. Round c to 1 decimal place.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4684062 and 16119.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002318 to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 694608 by 16.\nAnswer: 43413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.98\nAnswer: 0.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1034351943 by -20481.\nAnswer: -50503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 30*v - 34720. Is 80 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -13*w**4\/24 - w**2\/2 + 4*w. Let u(n) be the first derivative of m(n). Is u(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 8)*(-15 - -16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 3.03. Let p = -10.7 + 11. What is the third biggest value in 4, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 7*h)*(249*h - 1 + 242*h - 13*h**2 - 488*h).\nAnswer: -91*h**3 + 21*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (6 + 0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*h + 17. What is the highest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(660)*3)\/(sqrt(108)*-1 + sqrt(108) + sqrt(108)))\/((5*sqrt(400))\/sqrt(320)))**2.\nAnswer: 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -2\/3*n**3 + 1\/20*n**5 + 0 - 1\/6*n**4 + 2*n**2 - n. Give d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137497, 137474, 137459, 137458, 137477, 137522?\n\"Answer: d**3 - 2*d**2 - 24*d + 137522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*((-70)\/(-105))\/((-8)\/15). What is the third smallest value in 0.5, z, 2.1, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386411977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -149088965 divided by -6\nAnswer: 149088965\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*i = -1334, -5*s = -3*i - 527 - 2799. Calculate the lowest common multiple of s and 12.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (-102 - (-28 + -106)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1763, 107, -1, 3 in increasing order.\nAnswer: -1, 3, 107, 1763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-1*sqrt(204)*-2 + -6*sqrt(204)*-1)\/(sqrt(132)\/(sqrt(88)\/(sqrt(24)\/sqrt(3)))) + 2))**2.\nAnswer: 32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - (-3)\/(3\/1). Let q = 5 - z. Let u(x) be the third derivative of x**4\/24 + x**3\/6 - 6*x**2. Determine u(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8181 is divided by 2723?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1566*j - 629. Is n(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-940)\/(-15))\/4 + ((-12)\/14)\/((-49)\/(-686))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 77 + 311 = 0. Calculate the greatest common factor of 299 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-5)*-1)\/(9\/(-1440)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/15*(-7 - -2). Suppose 6*m + 47 = 3*n + m, j*n - 10 = -2*m. Let g be 6\/n - (-26)\/6. What is the greatest common factor of 40 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -12111122212?\nAnswer: -12111122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274351 is divided by 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d + 4. Let m(a) = -7*a - 8. Give 2*m(n) + 5*x(n).\nAnswer: n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 - 3*i - 72. What are the prime factors of m(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-35))\/((-3)\/3).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.999991 - -11. Round c to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-1))\/(-3*1\/(-6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 133 * 28.7\nAnswer: 3817.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593282 is divided by 94?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*p + 9207 = -456*p - 1069 - 9884 for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 - 17) + 11 - -2) + 1 + -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r = -32*r + 2*a + 1214, r - 276 = -5*a. What are the prime factors of r?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 3*s**2 - 2 - s - s**2. Suppose 2*c - 1 - 3 = 0. Let w be p(c). Solve w*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2 - 708*a + 10756. What is z(15)?\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 465650904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -14. Let o = -4 - n. Let a(l) = -219*l + 2. Let u be a(o). What is u rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -5*p + 238. Suppose -95 = -3*n - 2*c, 2*n + c - p = -n. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**9\/1890 + t**7\/840 - t**4\/4 - t. Let p(n) be the third derivative of w(n). Find the third derivative of p(k) wrt k.\nAnswer: -192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -288 - -118. Let z = 170 + c. What is the biggest value in -1\/9, 4, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1476 + 1475. What is the closest to w in 0.1, 5\/98, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18293961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**8)**(-33)\/(u\/u**(3\/7))**15)**(-7) assuming u is positive.\nAnswer: u**(-1557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-four fifths of a kilometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 19*n + 19*n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neee when four letters picked without replacement from enneeeneeee.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - 3b0?\nAnswer: -3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 52.1. Let q = -21.6 - z. What is the nearest to 0.17 in 4, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409 is divided by 694.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10732 greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3330 - 324 = -127*s + 5372 + 7413 for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*k - 14*k + 12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 290 + 2?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47381, 189459, 426237, 757715, 1183893, 1704771?\nAnswer: 2320349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by 6842\nAnswer: 114\/3421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 2*sqrt(405) + sqrt(405) - -1*sqrt(405)*5) + -5 + 4*sqrt(405)*4)**2.\nAnswer: -1728*sqrt(5) + 233296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26198 - 23791 = -33*b - 53223 for b.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6)\/y)\/y*(y**(-7)*y)\/y*y)**(3\/28) assuming y is positive.\nAnswer: y**(-39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/(15*(-18)\/135)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*w, 2*w + w = -o. Suppose o = y - 2. Suppose -t = -4*p + 2 - 4, 0 = -y*t - 3*p + 37. Is t 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) -3 (b) -3\/8 (c) -2 (d) 3\/133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 27. Calculate d(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 10*v**2 + 20*v - 9. Let r be 5 - -2*(-3)\/(-6). What is the remainder when ((-170)\/(-15))\/(1\/r) is divided by n(8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q - 3*q)*(-1 - 3 + 2)*(-q - 3 + 3)*(2*q + 4*q - 4*q + 0*q - 2*q + 3*q + (5*q - 21 + 21)*(-4 + 3 + 0)).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5020, 10039, 15058, 20077, 25096, 30115?\n\"Answer: 5019*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 4668564.\nAnswer: 14\/1167141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in -2\/7, -886, 3\/4, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 1, 0.07, 5, -7, -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 216422 + -5463?\nAnswer: 210737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 5*c + 10. Give a(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 8*r + 21. Let i be (19\/3)\/((-7)\/r). Suppose 3*o + 13 = 1. Put o, 2, i in ascending order.\nAnswer: i, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 12:13 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:57 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25236083, 25236079, 25236075, 25236071, 25236067?\nAnswer: 25236063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-6 - -9) + 8) - (3 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 6:37 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 728425724 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.11 (b) -28\/5 (c) -13655 (d) 0 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 549 and 972?\nAnswer: 59292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -50*j - 701. Let g be y(-14). Which is the second smallest value? (a) g (b) 689 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33623 - 15072 = 381*c + 11693 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.1 - 21.4. Let m = r - 12.6943. Round m to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*6*4\/6. Let g = m + 11. Let n = -3 + g. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -1\/3 (c) 0.7 (d) 5 (e) 442 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -3. Let s be (-6)\/10 - (-2 + l). Put 5, -1.1, s in ascending order.\nAnswer: -1.1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110010011011101 (base 2) to base 9\nAnswer: 38370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in -3\/5, -0.06, 10, 1, -58?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3887*h + 34957. Calculate p(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 6842 + 2273 + 2283 + 2286.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*g + 147 = 3*v + 77*g, -15*v + 45 = -4*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3443 - 0.32\nAnswer: -3443.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*r - 7. Suppose -440 = -5*z + 5*g, r*g = -0*g - 8. Suppose 4*j = o + 21 + 71, 5*o - 24 = -2*j. What is the remainder when z is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 - -1528?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(1232\/(-96))*(-21)\/(-3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0)\/1 - (-5 + 6). Solve -a = -k, y*k - k - 4*a - 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222 - -237. Suppose 15 = 2*f + n. Factor -1\/4*c**4 + f + c + 0*c**2 - 3\/4*c**3.\nAnswer: -c*(c - 1)*(c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vmllllvfmlmnlllvlml?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/159 - (-34)\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 454*f**4 + 33*f**3 - 3*f**2 - 140*f + 121 wrt f?\nAnswer: 5448*f**2 + 198*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10517 + -567815\/54. Find the common denominator of h and ((-1811381)\/1434)\/143*1*4\/54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40988882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 99. Let h(i) be the first derivative of 4 - 7\/4*i**4 + m*i + 0*i**2 + 0*i**3. Differentiate h(l) with respect to l.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 8. Give r(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9 = 3*w, 6*j + 2 = 5*w + 5*j. Let i(f) = 30*f - 4. Let z be i(w). Let b be 170\/6 - 10*(-2)\/(-15). Which is smaller: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from kkkxoxkccxcokkkkk.\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 32*r**2 + 116*r - 146. What is d(28)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8846, -17390, -25864, -34268, -42602?\n\"Answer: 35*n**2 - 8649*n - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*r + 6*r + 16, 3*r + 4*j - 19 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 56 = -y - 165, -f = -4*y + 45. Let i = 39 + f. Factor -5*u**4 - 5*u**3 + 43 - 2*u**2 + 5*u + 7*u**i - 43.\nAnswer: -5*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-96)\/(-42) - (-4)\/(-14). Suppose 2*m = -y*k - m - 8, -12 = 3*m. Suppose -k*t = -0*t + 8. Let x(f) = f. Determine x(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 722168.23326 - 722180. Let m = -0.76618 - g. Let w = m + -11. Round w to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86488109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -746 = 5*y + 294. Let m = 297 + y. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/((-1127)\/(-462))*210\/(-90).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, k: 3, y: 3, x: 2, h: 3}. What is prob of picking 1 k and 2 x?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x - 56 = 39*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 4894321.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1917 = -4*s + 2350, -4*s = -5*v - 4279. Suppose 0 = 13*b - 5278 - s. Is 52 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*s**2 + f**3*s + 4*f**3 - 3*f*s**4 + 2*f*s - 7*s**5 wrt s?\nAnswer: -2*f**3 - 36*f*s**2 - 140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3189 - 3182. What is the nearest to v in 9\/7, -5, -0.4?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-105)*(-28)\/(-12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(-2*i + 2 - 2) + 1322*i - 1230*i + 2023*i + (3 - 3 - 2*i)*(1 - 3 + 4) as l*i + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66709053997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -0.4. Suppose -1553 = -3*f + 4*o, -2100 = -5*f + f - 2*o. Let g = f + -516. What is the biggest value in 2\/3, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.123655ml to litres.\nAnswer: 0.003123655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -24, 8, -67, -8, -10, -4 in descending order.\nAnswer: 8, 2, -4, -8, -10, -24, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 2. Let f(u) = u + 1. Let g(s) = -38*s - 26. Let i(h) = -f(h) + g(h). Let t = -30660 - -30664. Calculate t*i(m) + 54*j(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.8. Let q = -8.8 + 10. Let k = 1 - q. Which is the third biggest value? (a) k (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**4*z**2 - 627*v**4*z - 3*z**2 - 140 with respect to v.\nAnswer: 4*v**3*z**2 - 2508*v**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 + 2639 = 159*t. Solve -3*y - 58*v - t = -57*v, 0 = y + 2*v + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15904, 31814, 47724, 63634, 79544, 95454?\n\"Answer: 15910*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 59*r. Let s(d) = 12*d. Give t(s(p)).\nAnswer: 144*p**2 + 708*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.54 + -0.77. Let h = -0.34 - a. Let p = h + 0.05. Round p to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, a: 1, k: 1, e: 1}. Give prob of sequence dg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10601, -9192, -7787, -6386, -4989, -3596?\n\"Answer: -2*m**2 + 1415*m - 12014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -20131778 - 27988222. Round g to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31499950 is divided by 1502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 59.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4004, 8148, 12446, 16904, 21528, 26324, 31298?\n\"Answer: i**3 + 71*i**2 + 3924*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3\/5 - 9*y**2 + 216*y\/5 - 324\/5 = 0. What is y?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/72)\/(1\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1704 and 316518.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9322 + -9319. What is the nearest to 0.1 in f, 2, 245, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10*54\/(-450)*200\/(-15)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27318127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 10*y**3 + 3*y**2 - 6*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w**2 + 231*w - 3250. Determine b(-27).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(2\/23)*m)*m*((m\/m**(-7))\/m)\/m)\/(m**(1\/2)\/m**(1\/11)) assuming m is positive.\nAnswer: m**(3291\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 y when three letters picked without replacement from {m: 1, b: 1, c: 1, h: 2, n: 3, y: 11}?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -689803834738.7599879 - -689793217640.17. Let s = -10616829.59 - r. Let v = s + -269. Round v to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -10*n, n + 2*n + 31953 = 4*r. Does 36 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-150)\/35 + 6\/21. Let h be 4\/(-10)*20\/n. Suppose -f = t - 5, -f - 2 = -h*t - 1. Solve -4*a - 8 = 0, 5*a - 4*a = f*l + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*g + 29 = o - 115*g, -o - 2*g = -28. What is the greatest common divisor of o and 36015?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109052612 > -109052613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 9*n = -49*n + 2488612. What are the prime factors of n?\nAnswer: 2, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(91)*4)\/(sqrt(7) - (sqrt(21)\/sqrt(363) + sqrt(7))).\nAnswer: 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**4*m + 2*i**4 + 754*i**3*m - 94*i**3 - 2*i**2*m - i*m + 207*i - 1307*m wrt i.\nAnswer: 24*i*m + 48*i + 4524*m - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2672 is divided by 456.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**6\/600 + a**5\/300 + a**4\/30 - 2*a**3\/15 - 18*a**2. Factor v(j).\nAnswer: -(j - 2)*(j - 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*p - 119*p = 2*q + 17, 6 = -2*p + 4*q. Solve -p*h + 2*v - 13 = -45, 2*v = h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + q + 4 = 0, 5*m = -2*q - q - 12. Put m, -4, -3 in ascending order.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -386.29 - -386. Let m = 495 - 500.29. Let c = d - m. What is the biggest value in c, -5, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e2 (base 16) in base 7?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6476 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 3120142?\nAnswer: -3120144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 850*j - 855.\nAnswer: 5*(j - 1)*(j + 171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25238\/39 + -647. Let g = r + -11\/39. Let t = 0.3 + 1.7. Sort 3\/7, g, t.\nAnswer: g, 3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261774\/5 not equal to 52355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 30367935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 15. Let k(g) = 3*g**3 - 5*g**i + g**3. Let u(s) = -1 - 7*s**3 + s**3 + 3*s**3 - 1. Calculate -2*k(t) + u(t).\nAnswer: -t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -6*b + 518. Suppose 0 = m - 3*m + 4, 5*m - b = -3*l. Is l + 0 + (-5 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 299 - 53. Suppose 0 = -a - 245 + j. Solve 0*c = -c + a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**3. Let g be (-54)\/(-24) - 1\/4. Let h(x) be the third derivative of 3*x**6\/40 - x**5\/60 - 4*x**2. What is g*h(d) - 5*z(d)?\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - 306*y**2 + 3656*y - 2590. Give l(140).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*(-4*p - p + 3*p)*(1756 - 1486 + 1334 + 1370) to the form h*p + f and give h.\nAnswer: -11896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1280)\/110*1)\/(6\/(396\/(-6))).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10315 by 2063.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -113*i + 389. Let c be o(-11). Suppose -51*p = -59*p + c. Is 51 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1304365 divided by 202.\nAnswer: -1304365\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -4*m + 72. Is 11 a factor of (m\/12)\/((-1)\/1016)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = 5*x, 4 = -x + 5. Suppose -d + 2*v + 10 = 0, -63 = -5*d - 4*v + o. Solve z = 2*g + 5*z - d, 3*g + 4*z - 12 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from xxxxxxxlxxxxlxl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 10*w**2 - 13*w - 10. Let k be y(-8). Does 5 divide k\/(2 - -4) + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52024, -52012, -51992, -51964, -51928?\nAnswer: -51884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35810, -285680, -963946, -2284820, -4462514?\nAnswer: -7711240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o**2*t**3 + 5*o**2 + 2*o*t**3 + 4*o*t**2 - 16735*t**3 + 2*t**2 + 18603 wrt t?\nAnswer: 30*o**2 + 12*o - 100410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 41, -1\/3, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/10544 and 67\/3384.\nAnswer: 4460112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 47124\/147 - (-12)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) -11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11946 is divided by 3964?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/75)\/(35\/(-42)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/49))**19*(l**(-16))**(-15\/4) assuming l is positive.\nAnswer: l**(2978\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.24 - 31. Let s = -2.05 - y. Round s to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-15)*-12*(-6)\/(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -8*l + 1\/4*l**4 + l**2 + 34 + 10\/3*l**3. Let b be w(-4). Calculate the highest common factor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 774781.3ml?\nAnswer: 774.7813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72463435643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*g**2 - 47*g**2 + 87*g**2 + 1 - 10*g - 1 as v*g**2 + a + c*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1325 = -5*r + 4*c, -4*r - 2*c = -2*r - 512. Does 89 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252668 and 11578008?\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 1, q: 1, n: 1, x: 2, a: 2}. Give prob of sequence xn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.826 - 0.126. Let i = -3.8 + p. Let w = -25 - -27. Which is the smallest value? (a) i (b) w (c) -4 (d) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20818 - 0.732.\nAnswer: -20818.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 11 + (-19 - (-35 - -15)) + 1 + 4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-170237)\/2331 + 1\/7 - (150\/135)\/10\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -6*(sqrt(13) + sqrt(26)\/sqrt(2)) + (sqrt(13)*2)**2*2)*3.\nAnswer: -33*sqrt(13) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10666911 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 0*z - 5*z - 5 - z + 5*z + 3. Let u be 34\/(-8) - (-2)\/8. Let a(x) be the first derivative of -x**2\/2 - x + 2. Calculate u*a(i) + 3*h(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 10. Let v = 5.7 - k. Let b be (-6)\/(-9) - (-8)\/6. What is the second smallest value in -2\/3, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6585331 to the power of 1\/2, to the nearest integer?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4.71*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1)*(19*i + 2 + 6 - 6) as k*i + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 7 + 187*l**2 + 18.\nAnswer: 187*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4 - 2720*v**3 + 615624*v**2 - 46169984*v - 46788332 = 0 for v.\nAnswer: -1, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2. Let b(p) = -p - 24569. Determine b(x(n)).\nAnswer: n**2 - 24569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1 + 99603\/405 + 12\/180. Solve -t - 239 = 121*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146773 = -5*t - 1208227. Round t to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -376. What is the remainder when s is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -498 in 3, -2\/7, 7.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 9*y**2 - 10*y. Determine x(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 41231 (base 7) to base 13\nAnswer: 4775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 298 = -5*f, g - 5 = -1. Let a = f - 60. Suppose 6*c + a*c = 288. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 813*o**2 + 4821 - 10726*o**2 + 4777 with respect to o.\nAnswer: -19826*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.2 (c) 158 (d) -4\/49 (e) -0.5 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3443, -3416, -3407, -3428, -3491, -3608?\nAnswer: -3791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 + 3*a**4 + 3*a**3 - 2*a**2 + 7 + 2*a - 3*a - a**4 as o*a**2 + l*a**4 + i*a**3 + y + r*a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -129 - -64 - 3 - -76\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 0.3 (c) 2\/7 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c*d**2 - 756*c*d - 209*d**2 - 21*d with respect to c.\nAnswer: -3*d**2 - 756*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168*x**2 + 42*x**2 - 363*x**2)*(4 + 0*x + 3*x - 4*x).\nAnswer: 153*x**3 - 612*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 279802879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -5\/4 (c) -0.3 (d) -2 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 179867481*o**3 + 1685189.\nAnswer: 539602443*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4653833?\nAnswer: 29, 383, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*r + 581392 = 36*r. List the prime factors of r.\nAnswer: 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuuuwwuwulumlumumwuu. Give prob of sequence ul.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9781*c**3 - 569 + 569.\nAnswer: 9781*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*o - 24, -3*o = -4*q - 23 - 5. Let s be -3*(0 - (-2)\/(-6)). Suppose -o*t = -y - 8, -5*t - s = -y - 12. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -80498418 or -80498420?\nAnswer: -80498418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 82\/3*a + 72 + 2\/9*a**3 - 14*a**2. Factor t(i).\nAnswer: 2*(i - 41)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-530))\/((105\/5)\/((-2310)\/(-33))).\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/7 (b) -938\/11 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44642144609\/1479 + -30184003. Let v = -10\/87 + q. What is the common denominator of v and -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/4 + 7*k**3\/3 - 7*k**2\/2 - 10*k + 9. Let s be x(6). Let b = 19 + s. Solve 4*d = -o - 11, 3*d = -b*o + 7*d + 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1140 in 2\/37, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2755799427?\nAnswer: 3, 21943, 41863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -592, -1198, -1818, -2458, -3124, -3822, -4558, -5338?\n\"Answer: -n**3 - n**2 - 596*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -646, -2461, -5450, -9607, -14926, -21401, -29026?\n\"Answer: d**3 - 593*d**2 - 43*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30321344 (base 5) to base 16.\nAnswer: -3bde8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/13)*b*b**0*b*b*b*((b**(-8)\/b)\/b)\/b**(-1\/7))**(2\/3))**(-43) assuming b is positive.\nAnswer: b**(44032\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2298563.99977 + 2298588. Let b = -65 + 41. Let t = d + b. What is t rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + q + 13, -3*q + q - 17 = -3*a. Sort -396, -1, a in descending order.\nAnswer: a, -1, -396","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 253*a**4\/12 - 10*a**2 - 12. Let h(v) = 2*v**2. Give q(h(t)).\nAnswer: 1012*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 380031383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 8. Suppose -4*j + 23205 = 2*i - 3*j, b*i - 4*j - 23180 = 0. What is i rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 676 + -905. Let p = s - -125. Which is the smallest value? (a) 1 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/27*3\/2)\/(((-8)\/(-1332))\/(-1))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.046611 and -0.1.\nAnswer: 0.0046611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 125435.6637 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.0983 + -1.1. Round f to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/672)\/((-1)\/(-20)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, -1, -5, 65, -4 in decreasing order.\nAnswer: 65, -1, -4, -5, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -4*d - 28 + 16, 0 = 5*d + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 5*k - 12*k - 43 - 46*k**2 + 45*k**2. Calculate a(-18).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 4. Let q be w(2). Suppose q*v - 6 = 3*k + 2*v, -2*v = 6. Is (64\/(k + -1))\/(-2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8682192 months to centuries.\nAnswer: 0.000723516","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 386339, -10, 15, 5.\nAnswer: -10, 5, 15, 386339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 4*f**2 + 6*f - 6. What is r(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -142735.486 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**3 - 58*b**2 - 390*b + 13. Determine w(-7).\nAnswer: -3872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9052*y + 4. Let t be l(-8). Suppose 0*r - 5*r + t = 4*h, 5*h = r + 90496. Round h to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48\/5 of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 144411?\nAnswer: 144422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -3 (b) 0.5 (c) 163 (d) -4 (e) 2\/9 (f) 0.15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 + 4*o**2 - 4*o. Let s(w) be the second derivative of -w**5\/20 - w**4\/12 + w**3\/6 - 7*w. Determine b(g) + 4*s(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 3195907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.63 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95*388\/(-1455))\/((4\/(-6))\/(-1)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/36 (b) -147919 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/8)\/((-3)\/16*2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1522524 and 600432.\nAnswer: 42630672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 1. Let p(t) = 16*t + 2. Let o(i) = 2*l(i) - p(i). Let z be o(1). Is z not equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 1244?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 4, s: 2, w: 5, m: 4}. Give prob of picking 1 p and 2 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - m**3 - 6)*(0 - 2*m + 0) + 2*m**4 + 13 - 13 + (0 - 1 + 0)*(-4*m**4 - 3*m**4 + 5*m**4) in the form o*m + h*m**2 + d*m**3 + q + n*m**4 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-4) - (5\/(-4) - -1). Solve q = j - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 237 - 168. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17950 divided by 8975\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2886*t - 1448*t - 1452*t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14 + 0*p - 2 + 3*p. Let q(k) = -k - 4. Let l = 260 + -271. Let n(a) = l*q(a) - 4*o(a). Determine n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 923*j - 62*j**2 + 204*j**2 - 142*j**2 - 2*j**3 in the form c*j**2 + l + s*j + m*j**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l - 3. Let i be w(6). Let f = 29 + -11. What is the highest common factor of f and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -599*n**3 + 2*n**2 + 4. Let g(y) = -896703*y**3 + 2995*y**2 + 5990. Give 6*g(o) - 8985*u(o).\nAnswer: 1797*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 557740\/5648 + (-94)\/8?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 5 (c) 1 (d) -0.2022 (e) -2 (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + n**2 + n + 9. Let o be w(0). Let s = o - 9. Solve -3*h + a - 10 - 5 = s, -5*h - 25 = -a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5098076 and 404.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 + 286 + (2 - 27)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29685, 59301, 88917, 118533, 148149, 177765?\nAnswer: 207381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -2*w - 2, -10*b + 2*b = -214*w + 216*w + 42 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 6 - 16. Suppose 3*q = -t*y + 452, -5*y - 167 = -2*q + 101. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 6*i + 3. Suppose -2 - 2 = -4*s. Let f = -8 + s. Calculate x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**4 + 40*i**3 + 48*i**2 - 40*i - 44 = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-7) + -1 + 510\/3570. Sort -4, i, -8, 5, 2 in decreasing order.\nAnswer: 5, 2, i, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -8 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = 2*i. Let w(h) = 3*h**2 + 4*h**2 - 5*h**2 - 3*h**i. Let d(v) = 4*v - 4*v - 3*v**2. Determine d(w(o)).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 54*l = l + 1620 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11836836?\nAnswer: 2, 3, 11, 71, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/18 + 1\/(-3). Let o = 0.01 + 2.99. Let q = -35 - -35.5. Put q, n, o in ascending order.\nAnswer: n, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*a**3*q + 269*a**3 - q**2 wrt q?\nAnswer: -8*a**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 - -146. Suppose -80 = -3*m + s. Find the common denominator of (-23)\/(-26) + -1*6\/m and -5\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 210569 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Suppose x - 5*i + 34 = 5*x, -5*i = 3*x - 23. Suppose -x*z + 798 = -u*z. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**4 + 2 + u**2 - u**3 + 3*u**4 + 2*u**4 to the form x*u**2 + d*u + y + h*u**3 + m*u**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2237 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q - 62*q - 45*q + 15*q to the form k + w*q and give w.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -89 - 88?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 695, 3\/4, 0.2, 4, 2\/3, -2\/17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*c + 1 = 0, -t + 2*c = -0*t - 11. Suppose -x + 18 = -3*g, -2*x + t*g = -0*x - 39. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*y + 21*y - 620. What is the third biggest value in y, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5402874 is divided by 46576?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 = -115*h + 3030 + 1199 + 1270 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2 and 62\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 <= 1411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 - -415 - ((12 - -4 - 10) + -121)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*c + 6, -5*c + 3*w = 5 - 21. Solve 0 = c*i - 14*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-16)\/(-36)*-3. Let w(g) = g**2 + 9*g + 12. Let q be w(s). Solve 2*c + 2*c = q*h + 16, 3*h + 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9 = 57. Let l be (q\/(-147) + 1)*(-2)\/4. Let c = 2164\/147 + l. Is c >= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*c - 165550, 15614 = 2*f + 5*c - 50625. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26756368, -26756369, -26756370, -26756371?\nAnswer: -26756372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Let t(q) be the first derivative of 0*q - 141 + 605\/3*q**3 + 0*q**2. Determine m(t(z)).\nAnswer: 605*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.02, 417042\/11 in ascending order.\nAnswer: -0.02, 15, 417042\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 3*x - 5. Let u(p) = -4*p**2 + 5*p - 9. What is 4*u(k) - 7*z(k)?\nAnswer: -2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -233*w + 19. Let c(n) = -463*n + 45. Determine -4*c(b) + 9*j(b).\nAnswer: -245*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-324)\/(-24))\/(-9)*(-20)\/(-630)*28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.2252ml in litres?\nAnswer: 0.1352252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32 - -2) + (4 - 3). Suppose -2*r - 5*c = -x, -3*r + 2*r = 5*c - 20. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (483\/(-805))\/(3\/(-19))\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529705.\nAnswer: 5, 11, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131332538.\nAnswer: 2, 3019, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 25*b + 3 - 26*b)*(1 + 4 - 4).\nAnswer: -b - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 347.77985781 + -347.78. What is q rounded to six dps?\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 102 = -140 - 46 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 6*c**2 + 14*c - 6. Let z be r(7). What is the third derivative of 18*n**5 + 24*n**2 - z*n**5 + 19*n**5 wrt n?\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 10:42 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*t**4 - 333180*t**3 - 991031992*t**2 + 708145200*t + 283220000 = 0. What is t?\nAnswer: -5950, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 2*(-3)\/6. Let u = x - -1. Suppose -u*v + 6 = 2*t, -2*t = -v - t + 3. Calculate the least common multiple of v and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2447338 by 46.\nAnswer: 53203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7082960 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4189 = 233*k + 6886 + 3138 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + -771247?\nAnswer: -771300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + (3 + 5)\/(-4). Let g = 12 - t. Let d(c) = -c + 5. Calculate the remainder when d(-5) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21364, -21471, -21586, -21709?\n\"Answer: -4*m**2 - 95*m - 21265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Suppose -4*b = -5*a + 16 + 7, y*a = -3*b. Let f be (a\/2)\/(3\/8). Solve 4*r - f = -0*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*h + 20 = 0. Suppose y + y + 6 = n, 3*y - 35 = -h*n. What is the lowest common multiple of n and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 428651*d**2*v**2 + 3119*d*v**2 - 41*d wrt d.\nAnswer: 857302*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmommoononoonnm. What is prob of picking 2 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3)**42 assuming l is positive.\nAnswer: l**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035592267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**8*f*f\/(f**(2\/51)*f)*f*f\/f**(-3)*f*f*((f**4\/f)\/f*f)\/f assuming f is positive.\nAnswer: f**(151\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 9*b**2 + 8*b + 3. Let t(u) = 2*u**3 + 19*u**2 + 17*u + 7. Let a(w) = -7*n(w) + 3*t(w). Let v be a(-5). Solve v = -q + 6*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 60c08a?\nAnswer: 60c08e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -283741 (b) -6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7068949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 144 = 2*b, -212 = -3*f - 0*f + 2*b. What is the smallest common multiple of f and 16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.547*-7692\nAnswer: -104203.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -f + 7, 3*r + 17 = 5*f - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2, 0.037, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*g - 418 + 413, -a = -2*g - 5. Solve 2*p = t - 1, 4*t + 3*p + 7 = -g*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124821191 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 97076.09574 to the nearest one thousand.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -478*w**2 - 600*w**2 - 707*w**2 + 1317*w**2 as v*w**2 + m + x*w and give v.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(1*sqrt(6)\/sqrt(3)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 4) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15409.2 or -3?\nAnswer: -15409.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 7:24 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*j + 125*j = 12 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 1e64812?\nAnswer: 1e6480e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 6*r**2 + 4*r - 2. Let o be p(-5). Differentiate c**3 + 1 + 1 - c**o + 2*c**3 with respect to c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(136)*2*-2 - 1*-2*sqrt(136))\/((sqrt(72) - (sqrt(72) - ((sqrt(72)*1 + sqrt(72) - sqrt(72))*-3 - sqrt(72))))\/sqrt(9)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 + -168. Let i(t) be the first derivative of m*t - 18 - 3\/2*t**2. Let c(z) = -z**2. What is c(i(b))?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 + 968140*h - 5808984 = 0. What is h?\nAnswer: -242041, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1988975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51ae9b (base 15) in base 16?\nAnswer: 3b4602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -166 from -1813981169.54.\nAnswer: -1813981003.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**(-11\/6)\/k)**13)**(13\/2))**(-9\/5))**(-30) assuming k is positive.\nAnswer: k**(-7605\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 u when four letters picked without replacement from luuaaullaua?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j + 6. Let m be l(6). Let o = m - -21. What is the remainder when o is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:02 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/6 + 35*r\/6 - 6 = 0 for r.\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299489.\nAnswer: 17, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 2*q**2 + q + 5. Let z be x(4). Suppose -3*y = -176 - z. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 + 24*r + 751. Give b(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342\/(-57) - (-1)\/((-4)\/(-31)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 562201087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -14.43?\nAnswer: 1.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6193768.\nAnswer: 2, 7, 110603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385 > 400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 51. Let a = -353 - -355. Put 26, q, 1, a in increasing order.\nAnswer: 1, a, q, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10286 - 4844 = -17*o. Calculate the smallest common multiple of o and 1068.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -360 + 393. What is the remainder when 63 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5429 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420855, 1683370, 3787513, 6733242, 10520515, 15149290?\nAnswer: 20619525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72600254 and 0.5?\nAnswer: -36300127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*c + 5480 - 5586, 5*c = -86*y + 575 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3537\/5 or -1\/750?\nAnswer: -1\/750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -182*f*j**2*l**2 + f*j**2 - 804*f - 4*j**2*l - 2*l**2 wrt j?\nAnswer: -364*f*j*l**2 + 2*f*j - 8*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*d - 30, -6*d + 2*d = 4*q - 56. Suppose 4*l = -3 + 7, -230 = -5*k - 5*l. What is the greatest common factor of k and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 8*n**2 + 7*n. Let d be z(-7). Suppose -15 + d = -3*k. Let i = k - 1. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3)*(-24)\/(-36). What is the third smallest value in -0.5, g, -1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*8*21\/(-1750). Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111012112010 (base 3) in base 2?\nAnswer: 111111011101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 3*m - 2. Let y be s(-4). Let d be 6\/5 + 1 - y. Is d != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10263530 at most as big as -10263537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 505*b**2*p**2 + 68*p**2 - 9 wrt b.\nAnswer: 1010*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7044354 centuries to months.\nAnswer: 845.32248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220303 by -144.\nAnswer: -220303\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -33, -48?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 14 - -20 - -2 - (-4 + 5 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -256*a**2 + 2 - 2*a + 9*a**3 + 3*a + 254*a**2 - 2*a. List the prime factors of i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*w**5 + 16*w**5 - 25*w**5)*(-1 - 4 + 6)*(6 - 7 + 13).\nAnswer: -336*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 3*y + 36.\nAnswer: -3*(y - 3)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/17)*(n**(3\/2)*n*n)\/n*(n*n*n**0)**(-17))\/((n**(-2\/3)*n)**(2\/37)*n\/(n\/n**(2\/5))*n**(-6)) assuming n is positive.\nAnswer: n**(-486853\/18870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -60, -152, -298, -528, -872, -1360?\n\"Answer: -5*k**3 + 3*k**2 - 66*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 2*a + 5. Suppose 4*w + 2*b = 125 - 121, 2*w + 34 = 5*b. What is z(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11424)\/(-833) - (-2 - (-12)\/7). Solve -x*y + 12 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-60)\/(-50))\/(4\/10). Suppose d = 4*l + 26, -g*l = -5*d + 79 + 68. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-262)\/5)\/((-4224105)\/248475 + 17) - -6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = r + 28, -2*o + o + 3*r - 24 = 0. Let c = -27 - o. What are the prime factors of 33 + c + (-4)\/(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 2. Let b(j) = 3*j + 5. Let n be (-36)\/(-8) - (-1)\/2. Suppose 0*w + n*w - 25 = 0. Give w*d(o) - 2*b(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v. Let l = -27 - -29. Let y(r) = -36*r**3 - 24*r**2 + 2*r. Let s(j) = l*q(j) + y(j). Find the third derivative of s(k) wrt k.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 22.1. Let l = 34.9 - h. Let k = 46.2 - l. What is k rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 46533*z + 2*z**2 - 46533*z. Let c(h) = -5*h - 81. Give c(v(u)).\nAnswer: -10*u**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 25528396 and 25528400 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**5 + p**4 + p**3 - p**2 - 1. Let i(k) = 4*k**5 - 4*k**4 + 4*k**3 + 4*k**2 - 8*k + 8. Let m(h) = -i(h) - 8*x(h). Determine y so that m(y) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582*x**2 + 73*x + 551*x**2 - 1119*x**2 - 73*x.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -4, -1\/9, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 0 + 391*u**3 + u**2 - 4 + 58*u**3 + 3*u + 139*u**3. What are the prime factors of y(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 62 = -2*b - 0*m, -4*b = 5*m - 119. Suppose -2*f + 4*f + b = 5*h, 0 = -3*h + f + 21. Calculate the least common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*11 + (-2220)\/420 - (2 + 2)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 + 14 - 2*x**2 + x**3 + x + 2*x**2 - 166 to the form n*x**2 + o*x**3 + m*x + t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - o - 5 = 0, o = -k + 2*o - 1. Is (-3 + (-73)\/2)*k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 times 177?\nAnswer: -424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r - r + (-4 - 1 + 3)*(-134*r + 427*r + 83*r).\nAnswer: -753*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 - 44690*k**2 + 44690*k**2 - k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*(-6)\/(-2). Factor 0*a**2 - 9*a**3 - b*a**2 + 10*a**3 + a + 4*a**2.\nAnswer: a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.21 - -6.32. Let j = -9.53539 + u. Round j to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3) + (-19)\/(456\/(-43232)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15579 + -14769. What is the highest common factor of q and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*p - 384 + 1788 = 0. Suppose 9 - 3 = 2*i. Suppose 0 = -i*n + 1 + 50. Calculate the remainder when n is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -196, -436, -716, -1036?\n\"Answer: -20*f**2 - 180*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.61 + -0.71. Let t = f - 5. What is the nearest to t in -2\/53, -4, 1\/2?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*w - 6, -4*i + 0*w - w = -5. Let y(z) = 0*z - 5*z + i*z. Let j(b) = -3*b - 139 - 139 + 278 + 5*b. Give y(j(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3574, -5, 0, 8, -4 in decreasing order.\nAnswer: 3574, 8, 0, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1496 - -0.3496. Suppose -h = -s - 2*h, 4*s = -h - 15. Which is the second smallest value? (a) s (b) -0.24 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 97188 and 22?\nAnswer: 1069068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1200\/6479 - 2\/589. Let z be 30\/40 - 54\/(-40)*-1. Which is the nearest to -0.1? (a) w (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t. Let d(s) be the first derivative of 5*s**3\/3 - 20. Determine d(w(i)).\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 88849.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i**4 - 2724*i**3 + 32488*i**2 + 9504*i = 0 for i.\nAnswer: -108, -2\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -12*m + 7\/2*m**3 - 5\/2*m**2 + 0. Is s(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 - m + 5. Let u be n(0). Solve -z + x = -1, 0*z + u*x - 15 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from yloypobpbynb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-9)\/(-54) + 6850\/300.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5946793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(0 + 0 + 4)*(-3*w**4 + 5*w**4 - 4*w**4)*(2 - 3 - 1)*(-6 + 0 - 13) to the form i*w + u + c*w**3 + m*w**2 + d*w**4 and give d.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*m = -12, -17*u - 92 = 29*m - 34*m for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -30*t + 103. Let z be h(3). Solve -y = -2, -11*n + 2 = -z*n - 4*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59.9403 + -0.0597. Let r = 26 - 85. Let v = j - r. What is the fourth biggest value in 5, 0.05, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.07 + 5.07. Which is the third smallest value? (a) -3\/22 (b) -1\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-26)\/p**(5\/17))**(1\/28) assuming p is positive.\nAnswer: p**(-447\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -21*h**3 - 112*h**2 - 29*h + 32. Determine x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9*i + 7*i = 7922, -3957 = -2*q + 5*i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1219*z**2 - 72*z + 205. List the prime factors of u(3).\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974 at most -661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**4 + 5661*a**3*s - 3*a - 46*s + 7750 wrt a.\nAnswer: 12*a**3 + 16983*a**2*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3. Suppose 24 = -3*z - j*z. Let i = z - -16. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187412771.\nAnswer: 7, 13, 2059481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(-39387*h**2 + 39387*h**2 + 530*h**3)*(0 + 0 - 3*h).\nAnswer: -3180*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*3.15.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2131035 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-27))\/((-3492)\/23571).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a1 (base 16) to base 9.\nAnswer: -7846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 14893, -5, -4 in descending order.\nAnswer: 14893, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2. Let x(n) = 3*n**2. Let d = -2 - -4. Let p(o) = 7*o**2 + 2 - 2. Let q(w) = d*p(w) - 5*x(w). Calculate a(q(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889 is divided by 441.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 8:58 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 22*l = -100, -3*r + 3*l = -1314 + 1305 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*j - 56*o = 363*j - 2815, 3*j + 5*o = 235 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {j: 7, r: 3, m: 2, u: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1707 - 1707. What is the second smallest value in 7, y, -6\/37?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/1275273 and 87\/283394?\nAnswer: 2550546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9\/7))**(-18))**(-1\/31) assuming t is positive.\nAnswer: t**(-162\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132053401 + 2?\nAnswer: -132053377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.7 or 5148?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u + 7. Let k(b) = -2*b. Calculate -10*k(q) - 2*z(q).\nAnswer: -2*q - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 49*d + 150 - 42*d - 153. Let i be (-4)\/10 + (-3)\/5. Let k(r) = r. Calculate i*n(v) + 5*k(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-253*h + 83*h - 188*h)*(15*h - 89 + 89) as d + u*h + w*h**2 and give w.\nAnswer: -5370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -20. Let i = -12 - -14. Suppose -3*g + 43 = -r, g + i*g = -r + 47. Calculate the remainder when g is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + 2.04. Let s = -2.05 + n. Let i = -0.46 + s. What is i rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*i + 25 = 0, 0 = -2*o + 3*o + 5*i + 25. Suppose 4*d - 95 = -0*d - 3*q, o = -2*d + 2*q + 44. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3 = -2*h, 5*h - 2*j - 25 - 20 = 0. Is (5179 - 6\/(-3)) + h + -13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -9) + 3 + -4 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 8*f + 4. Let m be s(-8). Suppose m = 2*v - 24. What is the remainder when 26 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) - 2\/(-5). Suppose -4*j + 715 + 145 = z. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 3877985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a94 - -323?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-2*1\/1). What is the units digit of 11\/(5 + s + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209)*-1*-3)\/(-5*sqrt(44)).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2140964\nAnswer: -1\/535241","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 7 = 4*n - 11*o, 3*n + 2*o - 11 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 62*d + 108. Is v(18) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 3*k - 10*k)*(0*k**3 - k**3 + 0*k**3) - k + k**4 + k**2 - k**2.\nAnswer: 17*k**4 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7346.\nAnswer: 2, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -62*s - 1. Let w(h) = -1. Let g(i) = -d(i) - w(i). Let v be g(2). Let l = 211 - v. Calculate the remainder when l is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15534292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*p + 65. Suppose p = -2*x + 42. Solve -3*n - 3 = 0, 3*s - 5 = 4*n + x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1679ef (base 16) to base 10.\nAnswer: -1473007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -917, -2022, -3547, -5480, -7809, -10522, -13607?\nAnswer: -17052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q**2. Suppose 58 = 14*j - 180. Let d(g) = -59*g + 28*g + j*g + 23*g. Give d(t(v)).\nAnswer: 81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcffxx. Give prob of sequence xf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*x = -112 - 33, 0 = 4*x - 12. Calculate the remainder when 12426 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o\/o**(-2\/55))\/o)\/o)\/(o**(-2)\/o))\/(o**(-20)\/(o\/(o**(-29)*o))))**(-18) assuming o is positive.\nAnswer: o**(-51516\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = -4. Suppose l*k = -k. Which is the closest to -1? (a) -0.1 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b2 + -3b348?\nAnswer: -3b296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*l + 48*l - 27 + 201*l**2 - 94*l wrt l.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01604135233 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 730, 772, 814, 856, 898?\n\"Answer: 42*s + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/23 - 550*s\/23 + 5808\/23.\nAnswer: 2*(s - 264)*(s - 11)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147469923?\nAnswer: 3, 5461849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -394 - -593. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 3*63 + 2. Suppose p = 2*f - 241. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225172855?\nAnswer: 5, 45034571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243.1001633 - -243.1. What is n rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**2*g)**(6\/7))**(-2\/45)*(g\/((g*g\/(g**(-4)\/g*g))\/g))\/g**(2\/3)*(g*g**(1\/3))**(4\/9) assuming g is positive.\nAnswer: g**(-3886\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 270 - -1444. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -28*q**2 - 3*q + 2. Let s be i(2). Let j = s - -170. Solve 3*r - 9 = -3*v, 19 = 5*r - 5*v + j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 7863?\nAnswer: 4\/7863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -37. Let k = 19 + u. Suppose -14 = -k*y + 106. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 3 + -3 - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (2 - 3 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/36*-7 - (-2 - 0). Let u be ((-8)\/14)\/(15\/35). Which is the second smallest value? (a) d (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4163*q**2 + 11*q**3 - 8422*q**2 + 4259*q**2.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -25020.77732 to the nearest 100.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 738 = 976. Let c = j - -4299\/5. Suppose 4\/3*v**5 + 2\/5*v**2 + c*v**4 + 0*v + 28\/15*v**3 + 0 = 0. What is v?\nAnswer: -1, -3\/5, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7236663*d - 2*d**2 + 7236663*d. Let i(l) = 1778*l**2 + 2*l. Calculate i(j(o)).\nAnswer: 7112*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542419 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8. Suppose 2*k + 2*v - 52 = z, 5*k - v - 118 = -0*k. What is the remainder when 46 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/7, 0.117, -0.3 in ascending order.\nAnswer: -0.3, -1\/7, 0.117, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*o**3\/3 - 551*o**2 + 97529*o\/3 - 4633 = 0. What is o?\nAnswer: 1\/7, 113, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -31.7. Let s = o - 1.71. Put -0.1, s, -2 in increasing order.\nAnswer: -2, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 - 17605*r**3 + 2215575*r**2 - 94474655*r + 1348438720 = 0. Calculate r.\nAnswer: 43, 3392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/55212 and -187\/276060?\nAnswer: 276060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {w: 4, g: 2, u: 1, j: 1, s: 2, h: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/55*((-6)\/(-9) + (-108)\/(-81))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32402 + -16534. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o = -42*o - 6. Suppose 5*a - 25 - 4 = 4*j, -a = -2*j - 19. Let k = 0 - j. Calculate the lowest common multiple of o and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 78*c**2 - 4408*c.\nAnswer: c*(c - 38)*(c + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 4*t + 3*t + (-3 + 1 + 0)*(-3*t + 2 - 2) + (-6 + 5 + 2)*(0*t + 3*t - t))*(-3841 + 109*t + 3841).\nAnswer: 763*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5\/9, 11.9 in increasing order.\nAnswer: -0.4, 5\/9, 11.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from qjyjfjffqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 - -1 - 0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 19 = 163. Suppose -4*k + o = 24. Solve -2*z - 2*z = -k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292695 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 241250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -745 (base 11) to base 2.\nAnswer: -1110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13 - 16 + 5*q - q**2 + 0*q**2. Let i be (-2)\/(-9) + (-34)\/(-9). Let c be x(i). Is 1 not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*y - x, -4*x - 12 = -y + 6. Suppose 3*c - 9 - 3 = 0. Find the third derivative of c - 10*p**6 + p**y - 4 + 8*p**6 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:23 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8107, -8097, -8075, -8035, -7971, -7877, -7747?\n\"Answer: f**3 + 3*f - 8111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*w - 10 + 9 + 2 + 0 to z + s*w and give s.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -103030 (base 5) in base 12?\nAnswer: -204b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -299f?\nAnswer: 2998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 73 - (147 + -166 + -1).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1756 + -925. Let g = 1567 - w. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 h, and 1 f when three letters picked without replacement from tfeyh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*v, 3*v - 1 = -f - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 3*s - 1. Calculate v(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 34*z + 19*z + 111*z as t + b*z and give b.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 172*l**2 + 4478*l - 34. Determine w(23).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10839296.8705 - 281.1295. Let h = q - -10839564.799939. Let g = -13.2 - h. What is g rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/4 and -25\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*q + 5*i + 4, 0 = 3*q - 3*i - 3. Suppose -5*f + 398 = v, -q*v = 4*f + v - 325. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12627 is divided by 4204?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.82, -82\/413, -0.2 in ascending order.\nAnswer: -0.82, -0.2, -82\/413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 1. Let b(v) = v**2 - 22*v + 77. Let h(t) = -4*a(t) + b(t). Let h(k) = 0. Calculate k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*u - 2. Suppose 6*w - u*w = -12. Solve -2*v = -v - w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2 - 11 + 98*w**2 - 7*w + 13*w**2 + 3*w**2. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 - -1644.5?\nAnswer: 1837.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/12 - 1349\/114. Does 12 divide (-29170)\/(-30) + (-2 - 20\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.1, 2, -0.19?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1962214?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n - 5*i + 2*i, 0 = -3*n + 4*i - 7. Let t(y) = n + 10*y + 25*y**2 - 2 - 8*y. Is t(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(51))\/sqrt(3) + 0)*1 - (6*-2*sqrt(119))\/(sqrt(77)\/(sqrt(33)\/sqrt(3))).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/520*-12*30\/9.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 76 + 336928?\nAnswer: 337004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*p + 6*p = -26, -3*h + 4*p = -20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871361221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1085 + 81 + 297)*(6*y**5 - 4*y**5 + 0*y**5).\nAnswer: -1414*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeezzuu. What is prob of picking 1 z and 1 e?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*r**2 - 71*b**2*r + b**2 - 4*b*r + 859*b - 2 with respect to r.\nAnswer: -2*b**2*r - 71*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 7*v**2 + 49*v. Give n(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*12\/4*(0 + -1). Sort 0, 5, s, 69 in descending order.\nAnswer: 69, 5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335 is divided by 494?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5\/4 + 251*l**4\/4 + 5199*l**3\/2 + 4949*l**2\/2 - 10399*l\/4 - 10149\/4 = 0.\nAnswer: -199, -51, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 9. Let x be p(-5). Let t be 3 - 2\/(3\/(-3)). Solve -t*g + x*g - 3 = -3*l, 0 = 3*g - 5*l + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/1190)\/(24444\/9894).\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 57 = -2*s, 3*c = -s + 6. Suppose -5*o + 19 = -s. Solve o = 2*z - 5*z + 2*d, 3 = -2*z - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10 - 3 = 0. Let n = 12 - h. Let f = 11 - n. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32.04 - 32. Which is the biggest value? (a) 5 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = s - 15, 2*x = -64*s + 65*s + 6. Suppose -6*t + 9*t + x*i - 21 = 0, 2*t = -3*i + 12. Calculate the lowest common multiple of t and 23.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -814, 3\/26, -0.18?\nAnswer: -814","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (38\/(-2))\/(14 + -15). Let s be (g + -21)*10\/(-4). Sort -8, 0, s in increasing order.\nAnswer: -8, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 195, 1\/4907, 1\/6, -0.2.\nAnswer: -0.2, 1\/4907, 1\/6, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/(-448)*4\/(-21).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32761?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x + 267. Let g(h) = -3*h + 1. Let i(p) = -4*g(p) + m(p). What is the remainder when i(-6) is divided by 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264 - 85 - 31*z - 76 + 75*z - 106.\nAnswer: 44*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 372*a**3 - 17*a**2 + 15*a**2 - 3 + 3 - 7*a**3 + (2 + a**2 - 2)*(-2*a + 4*a - a) in the form o*a + c*a**2 + i + x*a**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 1\/105*q**7 + 0*q**2 + 0*q**3 - 1\/50*q**5 + 0*q**4 + 0*q**6 + q + 0. Factor f(j).\nAnswer: 2*j**3*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205461 to the power of 1\/2, to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n - 2*a - 622 = 0, -14*n + 1760 = -a. What is the greatest common factor of n and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014000 rounded to the nearest 10000?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3.05, 0.1, -3 in increasing order.\nAnswer: -3, 0.1, 3.05, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 6\/(-2) + 4. Let z be ((-30)\/(-4) - w)*-2. Let a = 127 + -134. Which is bigger: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(475) + (sqrt(475) - (-1 + sqrt(475))*6)**2) + -5.\nAnswer: -35738 + 885*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30942 and 1880586.\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/3, 11\/10.\nAnswer: -2\/3, -0.5, 11\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/10 (c) 227 (d) 31 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*x - 3 + 26*x - 52*x)*(45*x + 12 - 12)*(-5 + 7 - 1).\nAnswer: 450*x**2 - 135*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50136 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 + 110. Suppose -2*r = -w + 31. Suppose d = 6*d + 15, 2*d = -v + r. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3714 is divided by 926.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let i = -0.0728 - -2.0728. Let s = -8.4 + 8. Which is the second biggest value? (a) p (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1864, 7431, 16708, 29695?\nAnswer: 46392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2.5587795124292\nAnswer: -0.5587795124292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqyr when four letters picked without replacement from xwqwryxxqbrq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -5\/2, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36, 2.2, 0.083, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t + 8*t - t)*(3 - 4 + 2) + 183 - 183 - 21*t)*(3*t - t - 4*t) + 3*t**2 - 6*t**2 + 5*t**2 + (-2*t**2 + 4*t**2 + 0*t**2)*(2 + 1 - 2).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 - -183.1. Let j = -8.2 + u. What is the closest to 0.2 in j, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2*d - 58 = -33 - 47, 2*k + 3*d = 49 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*s + 44 = 166 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 6*g. Let a be f(6). Solve a = -0*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-670)\/(-12)*(-3)\/15). Let h = k + -231\/335. Is h greater than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a day in minutes?\nAnswer: 18360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Let c = -31 + 39. Calculate the lowest common multiple of c and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14446 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70928160841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 10. Let n(h) = h + 10. Let m(u) = -3*n(u) - 4*s(u). What is the lowest common multiple of m(0) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/14*16\/3. Solve 4 = -d*a - 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -47. Let r be (-13)\/d - (-4)\/10. Let p = -0.1 + 0. What is the closest to r in 3, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*s + 5, 9*s - 5*r + 25 = 8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from {x: 1, g: 1, m: 1, s: 1, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, 660 in decreasing order.\nAnswer: 660, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Suppose 0 = 5*w + 4*g - 60, 0*w = 4*w - 3*g - 17. Calculate the least common multiple of c and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*m - 5*m. Suppose 4*o - m - 12 = -4*z, -5*z = 3*o - 8. Suppose -x + o*x = 200. Calculate the remainder when x is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from uububuvuuvuuybub?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -273, -1031, -2399, -4461, -7301, -11003?\n\"Answer: -14*u**3 - 221*u**2 + 3*u - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.8? (a) -1\/16 (b) -1 (c) -4 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*n - 6*d + 181, 1431*n + 181 = 1427*n + 5*d for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 10*l - 21. Let a = 222 - 234. Let g be t(a). Solve -4*h = g*m + 17, -3*m - 22 = 5*h - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9196062 divided by -426\nAnswer: -21587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1119 + 1124. Which is the biggest value? (a) x (b) -143 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 136\/20 + 4\/(-5). Let n = 42.2 - 42. Which is the second biggest value? (a) 3\/7 (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*p**2 - 36\/5*p + 0.\nAnswer: 2*p*(p - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 70. Let a(t) = t**3 - 21*t**2 - t + 43. What is the least common multiple of a(21) and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.001172 + -10. What is t rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 86*w - 1. Let p(v) be the third derivative of v**5\/15 - 5*v**2 + 40. What is n(p(b))?\nAnswer: 344*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 12:27 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h - 10. Let v(k) = -1. Let b be 7\/6 + 1\/(-6). Let g(p) = b*s(p) - 10*v(p). Let z(l) = 2*l**2. Determine z(g(w)).\nAnswer: 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.33906 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -98*p - p**4 - 2*p**4 + 5*p**3 - 6*p**4 - 24*p**2 + 10*p**4 - 57 + 13*p**3 = 0.\nAnswer: -19, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1807 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-69)\/(-17) + 3\/(-51). Let s(c) = -c**3 + 14*c**2 - 2. Let j be s(14). Let g be (-1 + j)\/1 - 1. Sort n, 3, g, 2 in decreasing order.\nAnswer: n, 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*4\/(-4 - -3). Let y(v) = v + 1. Let k be y(3). What are the prime factors of (r + -4)\/k + 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-4 - -4 - -1 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18629 - 18625. Solve -5*b + 3*w = -134 + 123, -z*b - 4 = 4*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3978 and 547207713.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -109*c + 1. Let h(l) = 163*l - 2. Give -8*b(d) - 5*h(d).\nAnswer: 57*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -6 - (-46)\/2. Suppose -2*h - q + 12 = 2, -2*h - 3*q + c = 0. What are the prime factors of ((-348)\/10)\/(h\/(-10))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -13 + -12 + 22 - ((-2 - 1) + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 3\/3*309. Let m = 2163\/5 + -13573\/30. What is the common denominator of p\/84 + 1\/1 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/(-24)*(-4668)\/(-20).\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 + 420*d + 425 = 0 for d.\nAnswer: -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -142278361.6 rounded to the nearest one million?\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-26)\/8)*(-35 - -38355). What is r rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9171 greater than or equal to -9230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (-4*sqrt(76)*-3 - 1*(sqrt(76) + -1)) + 1).\nAnswer: -132*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 8.2. Let c = j - 1. Let o = -5.4 + 5.4. Put c, o, 1 in ascending order.\nAnswer: o, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 - 2*y**2 + 3*y + 3. Let o(t) = -15*t**3 - 9*t**2 + 13*t + 13. Let z(a) = -9*b(a) + 2*o(a). Determine z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6081 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 6*y**2 - y + 3. Let z be h(6). Let t(c) = 3*c + 49. Let v be t(-15). Calculate the common denominator of -111\/14 and ((-108)\/(-320))\/z*v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/8? (a) 1\/11 (b) -0.2 (c) -1\/2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 29. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 28 = -2*p + 2*w, 0 = -2*p - 5*w + 38. Let s = p + -25. Which is the closest to s? (a) -0.4 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((6 - 0)\/(56\/28))\/1. Let a(p) = -p**2 + 4*p - 2. Let k be a(2). Solve n - 7 = -4*j - h, k*j + 4 = -2*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {c: 12, t: 1, x: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25360931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095901 rounded to 4 decimal places?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1058*l - 2113. Let f be v(2). Solve f*u = -4*r + 7, r = 44*u - 40*u + 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13345 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 + 177771?\nAnswer: 177741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12168301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 192 and -0.04.\nAnswer: -7.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11050*a**3*w**2 + a**3*w - 6*a**3 - 131*a**2*w**2 - 383*a*w**2 wrt a.\nAnswer: 66300*w**2 + 6*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*0 + -3. Let d = f - -1. Let j = d - -7. Solve 3 = l + c - j*c, -3*c - 6 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11831.1 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.83 or -871\/8?\nAnswer: -871\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 + 39*o**3 + 45*o**2 - 39*o - 42.\nAnswer: -3*(o - 14)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:41 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 36*h**2 - 3*h + 41. Is k(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 6:51 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - d - 13 + 14)*((3 + 2 + 2)*(-1 - 1 + 0) - 4 + 5 + 0 - 2 + 3 - 3 + (5 + 1 - 5)*(-1 - 2 + 4)) as x + z*d and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/46863240 and -75\/8591594?\nAnswer: 515495640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**10*s*s*s**(-4\/13)*s)**47)**(-1\/54) assuming s is positive.\nAnswer: s**(-2585\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 987641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237.155 litres in millilitres?\nAnswer: 1237155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 340, -1\/9.\nAnswer: -1\/9, -0.1, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15199961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -2*z**3\/3 + 13. Let l(b) = -22 - 25 - 4 + 83 + 0*b**2 - 2*b**2. Give l(q(u)).\nAnswer: -8*u**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by -308807\nAnswer: 155\/308807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n + 30 = 0. Calculate the lowest common multiple of n and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 3*j**2 + j + 1. Let n be u(3). Let p(x) = -7*x - 9. Let t(z) = -z + 38 - 2*z - 42. Let k(q) = 2*p(q) - 5*t(q). What is k(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - g = 512 - 504, 0 = -5*r + 4*g + 2. Let d(w) = 0*w**2 - 4 + 1 + 3*w + 6*w**2. Determine d(r).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12\/19, 1.1, 0.03, 0.5?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 156, 248, 342, 438, 536?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/19, -0.2, 381938?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(48\/(-8)))\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(0 + sqrt(300)) + -1 - (-3 + ((sqrt(300) + -1 + sqrt(300) + 1)**2 - -5*(sqrt(300) + 1))).\nAnswer: -1208 - 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20*5)\/((-7)\/(-70)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1100136, -1100055, -1099944, -1099803, -1099632, -1099431?\n\"Answer: 15*q**2 + 36*q - 1100187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.457, -3, 3740, 5 in ascending order.\nAnswer: -3, -1.457, 5, 3740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -8 - 12, -4*d - 23 = 3*x. Suppose i + 1 = -8. Let y be (-12)\/i + -2 - -1. Which is bigger: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 398 - 385. Let s(y) = -y**3 + 5*y**2 - 5*y + 6. Let w be s(4). Let j be (w - -1) + -1 - -11. What is the greatest common factor of d and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 1)*(-6)\/4. Suppose -2*l - 1 = -o. Suppose 0 = l*f - 8 - 4. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, k: 4, x: 1, o: 2, r: 2}. Give prob of sequence oro.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 10. Let i be 30 - (0\/(-1) - 2). Suppose 24 = 4*b - i. Calculate the remainder when b is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -256, -2, 35, -1, -4, -5 in decreasing order.\nAnswer: 35, -1, -2, -4, -5, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j - 1. Let p(i) = i**3 + i**2 + 11. Let c be p(0). Let o = c - 12. Let r be -1 + 0 + (o - -3). Give d(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -681261, -681499, -681739, -681981, -682225, -682471, -682719?\nAnswer: -682969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*y = -82*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*t = 4, 0 = -5*t + 4*t + 2. Suppose -2*f + 212 = 2*r + m*f, 0 = 3*f. Suppose 114 = -c - r. Round c to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 + -180201?\nAnswer: -179874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/2 - (-3 - 0). Suppose -1 = t, -2*n - 3*t + 19 = v. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 578*i**2 - 2*i - 1954. Let o(z) = -582*z**2 - 2*z - 1954. Let v(b) = 3*o(b) - 2*u(b). Find the second derivative of v(c) wrt c.\nAnswer: -24*c - 1180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w = -7*w - 638. Suppose -28*a + w*a = -3066. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 125133*x**3 - 1739890935*x**2 + 8065554077343*x - 16124149591962.\nAnswer: -3*(x - 13903)**3*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*c + c. List the prime factors of (-4 - -3)*c + 11.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 55720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/(80\/(-1400)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105.8 - 109.415. Let u = -7.3 - -11. Let b = u + o. What is b rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 425, -24, -3 in increasing order.\nAnswer: -24, -3, 1, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*1 - (-5 + 6). Let m(q) = q**2 + 2 + b*q - 1 - q. What is the units digit of m(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 4*a - 34. Let z be b(4). Let s(u) be the second derivative of -5*u**3\/6 - 2*u**2 + u. Let f be s(z). Solve -4*d + d - f = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 204359236 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1021702 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219768.\nAnswer: 2, 3, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.54 + -0.04. Let d = 6.78 - 3.78. Let h = -3 + 3.2. What is the closest to h in g, -0.4, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 1029*d**4\/4 + 490*d**3 + 336*d**2 + 96*d + 620. Factor z(p).\nAnswer: 3*(7*p + 2)*(7*p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14446*v - 66194?\nAnswer: 14446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -422.64 to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d - 4. Let o = -47 + 48. Let x be u(o). Suppose v + 3*p = 13, -3*p - 4 = -2*v - x. Calculate the remainder when 8 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - 4*y + 5*y)*(2*y**4 - y**4 - 5*y**4).\nAnswer: 16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1220 and 34\/55.\nAnswer: 13420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o**5 - 5092*o**4 + 11690*o**3 - 8048*o**2 + 1464*o = 0. What is o?\nAnswer: -366, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/5 - 81*a\/5 - 78\/5.\nAnswer: -3*(a + 1)*(a + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 125127601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0379 + -258.0379. Let o = f - -424. What is the nearest to 0 in o, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33670757.\nAnswer: 1489, 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 2471154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 35.004, 1\/2, -2\/169, -3, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**11\/h*h**(5\/6)*h)\/(h**1)**28)**(-33) assuming h is positive.\nAnswer: h**(1001\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11650*s**3 - 10*s**2 + 25*s - 80. Is j(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 285, 944, 2221, 4320, 7445, 11800?\nAnswer: 17589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 14) to base 15\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -294957 divided by 98319?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5645 rounded to three dps?\nAnswer: -1.565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5 + 2 + m**2 + m - 3. Suppose -5*y = -y. Let l be f(y). Solve -l = -w - w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 8*v + 8. Let o be p(7). Let m be (-4)\/(-10) + (-16)\/(-10). Let r(t) = m + o - 6 + t. Calculate r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56821 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13867452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12161067 to the nearest integer?\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 656\/(-1740) + (-47952)\/(-19980).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 10:40 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816532 is divided by 816501?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*d**3 - 36*d**3 - 141*d**3.\nAnswer: -251*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o. Let u(r) = r + 12. Let n be u(-10). Let i(m) = -4*m + 4*m + 0*m - n*m. Give i(h(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32426632 and 120.\nAnswer: 486399480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = 2*w. Suppose -w*z = -0*o + 4*o - 29, -4*z + 7 = -o. Solve -o*h + 9 = -11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n = -138150 + 138730 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 x when four letters picked without replacement from {q: 7, x: 7}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-323*q - 161*q + 104*q)*(-30*q**2 - 7*q**2 - 7*q**2) - 2*q**3 + q - q.\nAnswer: 16718*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - h - 55 = 0, -11*h + 6*h = 4*b - 238. Calculate the lowest common multiple of b and 126.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/55 (b) 22.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*x = 22, 2*r - 2*x + 16 = -r. Let f be (0 + 0)\/((-20)\/r - 7). Solve 6*s - 14 - 16 = f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Let j(t) = -t**2 - 7*t + 14. Let y be j(-8). Suppose y*i - 13 = h*i. Solve 13 = -2*r - 3*r + 2*q, 3*r + i = -4*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 3*n - 20, -3*n = -k + 10. Which is the closest to k? (a) 2 (b) 3\/7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 5. Let i(s) = -2*s - 4. Let n(r) = r**3 + 7*r**2 + 5*r - 8. Let d be n(-6). Let t = 8 - d. Let u = t - 4. What is u*i(m) + 5*z(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0.2, -0.2, -229, 4, -9\/2 in descending order.\nAnswer: 4, 0.2, -1\/7, -0.2, -9\/2, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4596\/343 + 1232391\/13720. Let a = x - 344\/5. Find the common denominator of a and 73\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-126) - (-20)\/105 - 4\/42. Let v(r) = r**2 + 2*r + 66. Determine v(w).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 v when three letters picked without replacement from {i: 3, v: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4487\/31954 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -5317 = -5310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 20 = c. Let w be 1 - 2 - (3 - 19). Let y = w - c. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/4)*m*m**(-29))**(-2\/133) assuming m is positive.\nAnswer: m**(107\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-5) + (-1)\/(-5). Suppose 7*c - f*c = 16. Find the third derivative of z**3 + 3*z**3 - 4*z**c - 4*z**3 + 7*z**2 wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 17*a = -1020. Suppose 2347*b - 2352*b = -a. Let d be ((-102)\/4)\/((-6)\/8). What is the highest common divisor of b and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 65*k**2. Let q(s) = 4*s - 5. Let z(j) = j - 1. Let l(a) = q(a) - 5*z(a). Determine l(c(n)).\nAnswer: -65*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13403 (base 7) to base 16.\nAnswer: e2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -7055?\nAnswer: -7065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 5*j**4\/12 - 5*j**3\/6 - j. Find the second derivative of t(v) wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1971 = 5*d, 0*d = -4*d - 2*f + 1576. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/1655051 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/24*(-8)\/((-624)\/(-45))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o + 0*o)*(1 - o**3 - 1) + 49*o**4 + 12*o**4 - 15*o**4 - 9*o**4 - 91*o**2 - 1 + 91*o**2.\nAnswer: 39*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 7 + 31 = 0. Let w(t) = -t**2 + 9*t - 8. Let u be w(o). Suppose u*f - 32 = -2*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 870660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2715 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4284, 8566, 12848?\n\"Answer: 4282*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/1*(-2066)\/329527?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (1 + -2)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75768 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 67 = 5. Let k = -18 + v. Suppose 5*w - k*w + 51 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + 644\/(63\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 361 or 1540?\nAnswer: 1540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h = -2015. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/1089 and 17\/1467960.\nAnswer: 532869480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by (6\/9)\/(-6*(-3)\/243)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*n = 1351*n - 4010 - 31060 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -715\/52099?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1703*t = 1702*t + 5, -4*i - 2*t + 542 = 0. Solve 135*o - i*o = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 328*c - 2246. Let s be v(-7). Solve f - s = 4, 2*f - 1 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 324 - -143. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 7 + 6*u**2 - u + 1)*(-46*u + 95*u + 20*u) to q*u**3 + s*u + b*u**2 + i and give b.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -73, -85, -73, -31?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -l + 3*d, 30*l - 18 = 33*l - 3*d. Let a be l\/(1\/40)*(-246)\/164. Calculate the highest common divisor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2324985 is divided by 258236.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a - 9. Let z(p) = p + 7. Let k be z(5). Suppose -k = 3*f - 0*f. Let h be b(f). Solve h*g + 3*c + 5 + 4 = 0, 0 = 4*g - 3*c - 23 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686064796 to the power of 1\/3, to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -9, -4*u = -5*u - 4*c + 93. Suppose 2*x - 2*f - 15 = 79, 188 = 4*x - 3*f. Let q = u - x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453491.\nAnswer: 3, 13, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((2 - 7) + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361, 650, 939, 1228, 1517?\nAnswer: 1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.71752001 rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 + 5*p**2 + p + 3. Let k be f(-6). Let x = -3317\/13 - k. Let s be 1604*3\/684 - 7. What is the smallest value in x, 0.3, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 302588892 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -115. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 2)*(-2 + 2 + 2*h)*(-211*h + 115*h + 2*h**2 + 118*h)*(0 + 3 - 6).\nAnswer: 84*h**3 + 924*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*p + 7, 5*q + 3*p = 75. What is the highest common factor of q and 315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 1\/5 (c) 0.6 (d) 0.3 (e) -0.4859 (f) -23.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 53 + 41 = 0. Let r(b) = 194*b**2 + b - 3. What are the prime factors of r(w)?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyc when three letters picked without replacement from {w: 12, y: 5, c: 2}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 7.3. Let k = f + 9. Let t = k - 3.2. What is the third smallest value in 2\/3, -3, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**3 - 21*h**3 + 6*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 782 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a + 2 = -7 + 45. Let d = 4 + 0. Suppose d*f = f. Solve -3*y + a = 5*x, 5*y - 3*x + 6 + 15 = f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.24. Let k = -279 - 77. Let a = 355.8 + k. Put -1\/2, a, s, 0.1 in descending order.\nAnswer: 0.1, s, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/152*-19)\/((-2)\/14*2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**6\/2160 - o**5\/180 - o**4\/12 - o**3\/3 + 7*o - 74. Let b(v) be the third derivative of p(v). Let b(w) = 0. Calculate w.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.1 - 9. Let d = 59.1 - 59.2. Which is the closest to d? (a) -0.5 (b) 6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + 0.2. Is -0.1 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - a = 80, 4*s - a + 96 = 2*a. Let d = s - -23. What is the remainder when d is divided by 2\/(-5) - (-36)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b*b**(-1))\/b*b*b*b*b)**(6\/7)*b**(3\/8)*b*b**(-2\/5) assuming b is positive.\nAnswer: b**(1473\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148*u**4 - 187063*u**3 + 543*u**2 - 2*u + 4087 wrt u?\nAnswer: -3552*u - 1122378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 + y**2 - y**2. Let n(h) = -2 + 29*h - 34*h - 2. Let j(w) = -4*w - 3. Let p(r) = -4*j(r) + 3*n(r). Calculate u(p(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/11, 2\/5, -4\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/12 - u**3\/6 - 5*u**2\/2 + u. Let c be (-20)\/(-50) + (-4)\/10. Determine f(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 784342597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-6\/13)*t*t)\/(t**(-13)*t)*t\/(t*t*t**(-5\/3)*t*t*t*t)*(t*t**12)\/t assuming t is positive.\nAnswer: t**(905\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 18. Let d be t(12). Suppose -3*k = 3*k - d. Calculate the greatest common divisor of k and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 11, 93216, 2 in ascending order.\nAnswer: -1, 2, 4, 11, 93216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254145 is divided by 1436?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 5*f**2 + 3*f**4 - 39 + 41 - 5*f**2 - 7*f**2 in the form d + n*f**3 + q*f + m*f**4 + k*f**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 70. Let z = -41.0000061 - j. What is z rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 e when four letters picked without replacement from {l: 3, e: 1, c: 3, k: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7530589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 42)*(-10)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31124 - -1202?\nAnswer: -24422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -767f52d + -5?\nAnswer: -767f532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7428235.5 to the nearest one thousand.\nAnswer: -7428000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((18\/60)\/((-6)\/4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of ((-80)\/12)\/(-2)*(-87)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - (-387)\/36)\/(3\/(-4)). Which is the smallest value? (a) 5\/6 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x = -225*r + 229*r + 84, 0 = 4*x + 2*r + 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 0*z**2 + 1\/6*z**6 + z**3 + 0*z**5 + 0*z**4 + 2 + 0*z. Find the third derivative of h(g) wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821128.4nm to kilometers.\nAnswer: 0.0000008211284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5) + (11 - (-9 - (-4 - 9))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1177)\/(-55) + (-4)\/10. Let z be (-12)\/21 - (-138)\/b. Let l be (-3)\/z - 14\/(-4). Solve 0 = -0*n - n - l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 3*z**2 + 2*z - 2. Let w be q(2). Let h be (-3)\/w*-1*2. Let j = 0.5 + -0.3. Put j, h, -3\/4 in decreasing order.\nAnswer: j, -3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-130)\/35 + (-4)\/(-1). Sort 2\/23, 4, p in increasing order.\nAnswer: 2\/23, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81.96 + -85. Let j = z - -1.04. Let q be 4\/21 - 6\/45. Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 3. Suppose -4*q + o + 2 + 22 = 0, -3*o = v*q - 40. Calculate the remainder when 25 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -1\/10*p**6 + 3\/10*p**5 + 0 + p - 3\/2*p**2 - 1\/14*p**7 - 1\/2*p**3 + 1\/2*p**4. Factor l(k).\nAnswer: -3*(k - 1)**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 + 1. Let f be c(1). Suppose 0 = 2*m + 4, 4*d + f*m = 1817366 + 1702624. What is d rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1d39?\nAnswer: -1d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 145, 292, 509, 802, 1177, 1640, 2197?\nAnswer: 2854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -21*p**2 - 13*p - 38. Let r(m) = -7*m**2 - 4*m - 12. Calculate -7*r(o) + 2*y(o).\nAnswer: 7*o**2 + 2*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12612664121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92674659?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -34*o**2 - 48*o - 16. Let p(u) = 32*u**2 + 45*u + 15. Let v(i) = 16*p(i) + 15*x(i). Let q(r) = 8205*r**2. What is v(q(d))?\nAnswer: 134644050*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57330660?\nAnswer: 2, 3, 5, 955511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vavvvrhvvarr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.103 rounded to 0 decimal places?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275)*1*-5 - sqrt(275))\/(sqrt(25)\/(sqrt(10)\/sqrt(2))))\/(-1*sqrt(180) + -2*sqrt(180)))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -121, -129, -143, -163, -189, -221?\n\"Answer: -3*h**2 + h - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**5\/30 + o**2. Let i(r) = -1. Let g(j) = j + 4. Let m(y) = 5*g(y) + 20*i(y). Calculate k(m(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105\/4 - 213\/8. Which is the third smallest value? (a) r (b) 0 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 + -0.17. Let r = -0.1 - -0.1. Sort 3\/5, r, i in ascending order.\nAnswer: i, r, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26681*g**3*x**2 - 3*g*x**2 + 6328*x**2 wrt g?\nAnswer: 160086*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 1118*s + 71937. What is v(-61)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 + -2 + (16 - 8)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5976 is divided by 398.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59.95366kg?\nAnswer: 59953660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - 3*sqrt(540))\/(sqrt(48) + sqrt(240)\/sqrt(5) + sqrt(48)))**2 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165561*t**3 + 5630*t - 10?\nAnswer: -993366*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = 11334720 - 68725920. Let c = o - 6103560. What is c rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*v - 108 = -641, 5*w + 3*v = 527. Is (-424)\/w - 2\/((-4)\/7222) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 182673222*y - 237040179?\nAnswer: 182673222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2758, 2765, 2788, 2833, 2906, 3013?\nAnswer: 3160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-20 - 0 - 33) + -36?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-10 + (-2 - 6)). Suppose 6*l + x = 9*l + 5*w, 0 = 4*l + 3*w - 24. Solve 20*f - 17*f = -l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -17\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 235*8\/360 - 5 - (-55)\/(-45). Which is the smallest value? (a) f (b) -2 (c) 5 (d) -3 (e) -110\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = 5*w. What is the third derivative of 4*a**2 - 4*a**3 + w*a**3 + 5*a**6 wrt a?\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15*(-2 + 88\/20). Suppose 0 = 3*s - 4*a - w - 26, -3*s = 2*a - 50. Let f = s - 14. Solve -n - 5 = f*i, -5*n - 17 = i - 10*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2. Let k(x) = 24*x. Give r(k(h)).\nAnswer: -2304*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.079, -81, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 373918?\nAnswer: 37391d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726 = -409*o + 420*o. What is the lowest common multiple of 198 and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93\/2 - 48. Let i = -0.22 + 0.22. Which is the second smallest value? (a) z (b) i (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 95267656?\nAnswer: 285802968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570*i - 565*i - 1685 = 0. Let k = -217 + i. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 369 and (510\/40 - 14) + 2*(-3449)\/(-8).\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161298*l**5*q - 31*l**4 + 2*l**2 + 6*l - 14*q + 132 wrt l?\nAnswer: 9677880*l**2*q - 744*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*g + 3*u - 36, 5*g = 5*u + 90. Let w = g + 2. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 5 (c) 1 (d) -2 (e) -204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 minus -10217582?\nAnswer: 10217582.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4641*h**2*r**3 + h**2*r**2 - 9*h**2 - 156*h*r**3 + 5*r**3 - 28*r**2 + 8451 wrt r?\nAnswer: 27846*h**2 - 936*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllll. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943108913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 315504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 44\/205, 5, 1, 1\/3, 2\/19 in decreasing order.\nAnswer: 5, 1, 1\/2, 1\/3, 44\/205, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2 - 28\/(-4)). Suppose 5*l - 8 = 22. Suppose 3*x - 3*w = -l, 0 = -x - 6*w + 2*w + 3. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.3 (b) -5 (c) 3108960\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 965777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-960)\/112 + -5*(-40)\/25. What is the third biggest value in -1, -1\/8, -5, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, k: 2, a: 12, n: 2}. What is prob of picking 1 n and 1 x?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/312520 + -1097570233\/2187640. Let l = s - -502. Let o be (-2)\/(-3)*(-6)\/(-10). What is the second biggest value in l, 0, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13676 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 9) to base 11.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 14, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6) - (-12)\/(-9))*4. Let w be u\/(-12)*6\/(-2). Which is smaller: w or -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -6*g - 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 57*j - 6. Is q(1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**2*o*y**2 + 170*d**2*o*y + 133*d**2 - 78787*d*o + 2*d*y**2 wrt d?\nAnswer: 6*o*y**2 + 340*o*y + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9962 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 - 50.4?\nAnswer: 265.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2932848 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 0 + -6 + -2 - 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39.79 + 0.79. Let f = 10775678 + -10775638.999735. Let d = f + u. Round d to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145.6245 - 146. Round z to two dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -2\/49, 3, -246?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (4 + -2)) + (-12 - 11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 62?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 + 32)*(34*n**2 - n**4 + 25*n**2 + 2*n**4).\nAnswer: 27*n**4 + 1593*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-25)\/9)\/(-5))\/((20\/42)\/((-9800)\/(-2744))).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 - -3.5. What is the second smallest value in 3\/8, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200341799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -268 + 272. Find the second derivative of -2*y**q - 65*y**2 + 74*y**2 + 17 - 2*y + 3*y**4 wrt y.\nAnswer: 12*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t - 5*m + 16, -2*m = 2*t - 8. Let r be 2\/((t\/(-1))\/8). Let v = r + 11. What is the highest common factor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*l + 20*l - 208962. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 35*n**2 + 32*n - 354. Give o(-34).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/14 and -17\/270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 25*r + 3. Let l be s(-1). Let h be (-16)\/88 - 598\/l. Calculate the highest common divisor of h and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4*b + 44 = 2*i, -2*i - 23 = -b. Let q be (-3*1\/5)\/(i\/30). Factor 3\/2*l**4 - 3*l**2 + 3\/2 + 3\/2*l - 3*l**3 + q*l**5.\nAnswer: 3*(l - 1)**2*(l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-9)\/((-9)\/(-2)). Let m(t) = 24*t**2 - t + 5. Let q(o) = 25*o**2 - o + 6. Let u(i) = -6*m(i) + 5*q(i). Determine u(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -35, 2\/13 in decreasing order.\nAnswer: 2\/13, -3\/8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q + 47. Let y be m(9). Which is the third biggest value? (a) 2\/17 (b) -5 (c) -3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58919561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -39 + 4 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378) - (sqrt(378) + -3*sqrt(378)))\/sqrt(9) + (sqrt(6048) - (sqrt(6048) + 1*sqrt(6048)) - sqrt(6048)))\/(1*sqrt(294)*6*4).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + (8 - (-4 - -12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-14)\/4165*7*(-4)\/(-6).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206248 a multiple of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9230482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295522.\nAnswer: 2, 59, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*i**5 - 369704*i**4 + i**2 - 14*i - 369281?\nAnswer: -3660*i**2 - 8872896*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 2*b - 2*v - 52, 0 = v + 5. What is the lowest common multiple of 9 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86.855534 + -22.5\nAnswer: 64.355534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 87 = 164 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5142296*q - 1689797 wrt q.\nAnswer: -5142296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/56 + 405\/(-35). What is the least common multiple of (-13)\/(455\/(-270)) - u\/42 and 381?\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 + -30?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 60*n**2 - 240*n + 878. Determine i(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7168440277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(66)\/((sqrt(240)\/sqrt(4))\/sqrt(10)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {t: 2, w: 6, k: 2, a: 3}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-3)\/(-45))*(-21)\/(-9). Does 39 divide 95\/m + -3 - (-4372)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((240\/(-9))\/4)\/(28\/(-378)*9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t + 4. Let f(h) = 10*h - 7. Let q(i) = 4*f(i) + 7*u(i). Let v(n) be the third derivative of -17*n**5\/60 - 3*n**2 + 5*n. What is q(v(y))?\nAnswer: -85*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -47*q + 245. What is v(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788194567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*v + 16 = -98*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1, -0.2, 522\/13.\nAnswer: -1\/4, -0.2, 1, 522\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 212 + -170 - (-11 - -41)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -2*sqrt(77))*6*-2*-5)\/(sqrt(847) - 6*(-2*sqrt(847) - sqrt(847)) - sqrt(847) - sqrt(847)*-2*-2).\nAnswer: 90*sqrt(11)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a1ab1 (base 12) in base 6?\nAnswer: -105503141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l**3 - 5*l**2 + 10*l - 4. Let q(m) = 19*m**3 - 11*m**2 + 21*m - 8. Determine -9*f(d) + 4*q(d).\nAnswer: -5*d**3 + d**2 - 6*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -230365038141.\nAnswer: -230365038141.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 6)*(311 - 29*c**3 - 311)*(-2*c - 3*c + 6*c).\nAnswer: 116*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -743, -1482, -2221?\nAnswer: -2960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91613 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3504071 + 1752052 + 0*a**3 + 1752059 + a**3.\nAnswer: a**3 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -335\/2104 + 9\/263. Suppose 0 = -4*d - 7 - 1. Let s be ((-128)\/(-14))\/(-4) - d. Which is the third smallest value? (a) 4 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48879?\nAnswer: 3, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 0*d + 0*d + (10 - 10 + 6*d)*(-11 - 22 + 15).\nAnswer: -109*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 257, 262, 277, 308, 361, 442, 557?\n\"Answer: j**3 - j**2 + j + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + -9. Let p = s + 27. Let z(f) = 5*f**2 + 10*f + 11. Let j(w) = -w**2 - 2*w - 2. Give p*j(x) - 2*z(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(833) + -1) + -1*sqrt(833) + sqrt(833) + -4 + -5*sqrt(833)*1 + (1 + sqrt(833) + 2 + sqrt(833) - sqrt(833) - sqrt(833)))*-4*-2)**2.\nAnswer: -6272*sqrt(17) + 56448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 1083 + 4 + -1. Suppose -5*j = 3*l - i, -1100 = -j - 4*j + 5*l. What is the remainder when j is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 187 = 59. Let z be (-60)\/9*72\/15. Let o = z + v. Solve -5*r = -o*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/9 - -19\/126. Let z(o) = o**2 + 10*o + 10. Let q be z(-9). Which is bigger: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 2:19 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 0 + -3)\/(-1). Let b(k) = 5*k**2 - 4*k**2 - 1 + t. Let q(o) = -5*o**2. Calculate b(q(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1 - 45076*w + 297075*w + 2. Let d be m(1). Suppose -5*y - d = -y. Round y to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2818, -12064, -27602, -49438, -77578, -112028?\nAnswer: -152794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -13. Suppose -3*i - u = -2*i. List the prime factors of 2\/i - (-112)\/10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/4 - 8*h**3\/3 + 10*h**2 - 35*h - 1580. Calculate v(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 21*s**3 - 39*s**2 + 9*s + 54.\nAnswer: -3*(s - 1)*(s + 2)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 3, -4\/53?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3697*t - 20. Let z be g(-1). Let u be -4 + (-1)\/(-54)*200902. Let a = z + u. What is the common denominator of 22\/9 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 808602 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -2*d**7\/7 - 4*d**3\/3 + 5. Find the third derivative of q(k) wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36570 - -36569. Let h(o) = -8*o**3 - 2*o**2 - 2*o. Determine h(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -2*(sqrt(11) - (sqrt(11) + sqrt(77)\/sqrt(7))) + sqrt(11)*4 + 5.\nAnswer: 5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23014407023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r + 868 - 892. Let g(q) = 2*q**3 - 6*q**2 + 7. Calculate g(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 + 66 + -143 + 133\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.813933? (a) 4 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1541 is divided by 221?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:54 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26816.344 and 0.6.\nAnswer: -16089.8064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 296952\nAnswer: 19\/296952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-7*l - l - 2*l) + 0*l + l - 3*l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 2\/9, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 smaller than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -2*b - 4\/3*b**3 - 3 + 1\/4*b**4 + 5\/2*b**2. Factor m(i).\nAnswer: (i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31543503 (base 7) to base 16.\nAnswer: -28f13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66480203*n - 63453410 wrt n.\nAnswer: -66480203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1794837 + 3752999. Suppose 4*r - 8 = 0, -3*r - c = -9*a + 5*a. Let l = 3330458 + a. Round l to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1039.7 + -1040. Which is the third biggest value? (a) r (b) 1 (c) 0.307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 19*v - 9*v + 231 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*j - 5*a - 0, -2*a + 46 = 4*j. Sort -6, j, -5.\nAnswer: -6, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2211)\/(-1407)*(-7)\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/52 - 29780\/(-442). Let k be -3 - 4\/((-1632)\/25682). Let t = o - k. Calculate the common denominator of t and -1\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i + 2*i - 5*i)*(14 - 234 - 25 + (1 + 0 - 3)*(0 + 0 + 2) - 3 + 4 + 0) to w*i + d and give w.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0*n + 32260. Let d = -57163\/7 - n. Let k = -101 - d. Sort 0, k, 0.3.\nAnswer: 0, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50835447?\nAnswer: 3, 13, 37, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 7*u**2 + 2*u - 10. Let m be f(7). Suppose h - 3*h - 2 = -2*v, 3*v - m*h - 7 = 0. Let o = 88 - 89. Sort v, o, 5.\nAnswer: v, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*((sqrt(39)\/(sqrt(3) - sqrt(108)))**2 + (sqrt(13) - (1 + sqrt(1300)))).\nAnswer: -45*sqrt(13) + 13\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/105)\/((-3)\/18*-8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -180 divided by 36\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26687724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/90 and -29\/13905.\nAnswer: 27810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -3*y - 156. Let p(w) = -2*w - 18 + y - 14. What is p(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 859 and -0.7.\nAnswer: 858.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4448*k**3 - 7*k**2 - 6*k - 1. Let l(g) = -1483*g**3 - 2*g**2 - 2*g. Give 7*l(i) - 2*z(i).\nAnswer: -1485*i**3 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-50 - -23)\/((-488)\/(-164) + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (26 - 35) + -29?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 275268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 90 = f. Let l = f + 20. Solve -3*m = -l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1)*(-1)\/(-8). Which is the smallest value? (a) 4 (b) 7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79724135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/4)\/(1\/(-8)). Let o be (-8)\/12 + s\/(-6). Is o at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2445087725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 10*b**2 - 15*b. Let u be n(8). Solve 0 = f - 4*f - 2*z + u, 2*f - 18 = 5*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/2 + 11*f**2\/2 + 51*f = 0. What is f?\nAnswer: -6, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*p - 15 = 123, 159 = 4*v - 3*p. Suppose -2 = -2*b - 18. What is the remainder when v is divided by 10 + b - (-3)\/(3\/20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4295 = -575*y + 4905 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-4 + 6)) + 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.1. Let h = 2.96 - -0.04. Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 0. Suppose s*h = 3*h. Let t = h + 7. What is the least common multiple of t and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2. Let w(i) be the first derivative of -i**3 + 5*i - 1. Let d(g) be the first derivative of w(g). Calculate m(d(n)).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:30 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 932 - 928. Sort -5, m, -29 in increasing order.\nAnswer: -29, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2714625 and 50673?\nAnswer: 19002375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*j + 29. Solve -b + 3*r + 6 = 5, 4*b - 3*r = -j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*a**2 - 4036*a\/3 - 720 = 0. What is a?\nAnswer: -10\/21, 108\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*h - 26, 3*h + 3*m + 31 = m. Suppose -c = 1 - 0, -5*t - c = 56. Let b = h - t. Solve -b*p + k + 0*k + 9 = 0, 0 = -p - 3*k - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/54 and 43\/156.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1125317, -38, -4 in increasing order.\nAnswer: -1125317, -38, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-6))\/((-1)\/(-2)). Let p(n) = 14*n - 100. Let y be p(7). Let g = y - j. Solve 23 = b + b + 3*r, -g*b = -r - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11553131 + 15*x - 11553131.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 24 + 2 = 0. What is the least common multiple of 2\/8 + (-55)\/(-4) and l?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 16 + (28 - 27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*f = 212, 0 = 4*k + 3*f + 82 - 509. Is k > 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*q**4 + 11 + 21\/2*q - 23\/2*q**2 - 21\/2*q**3.\nAnswer: (q - 22)*(q - 1)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 51 - 26. Let a = 0 + 2. Solve -a*w = -w + s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 49\/4 of a tonne?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -466741, -2\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o*o**(-3\/8))\/o*o)\/o**(-5) assuming o is positive.\nAnswer: o**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 106730525366186 minus 4?\nAnswer: 106730525366182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*s - 7 - 3*s - 11 + 4*s wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.94. Let m = w - -0.44. Which is smaller: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 58*l**2 - 15*l + 129. Let a be (0 + 3)\/(183\/610). Is o(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 90 = -4*x. Let m = 42 - x. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1015711174126367\/368160 - 2758885197. Let w = -4\/767 - b. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**2. Let h(p) = -12776732*p. What is h(j(u))?\nAnswer: -114990588*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 1. Let u be x(4). Suppose -5*w - 5*q = 5, 3*w - 5*w - u*q = 8. Let t(p) = -2 - p + 2*p + 2*p - 2*p. Determine t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20983445, -41966894, -62950343, -83933792?\n\"Answer: -20983449*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2305792 divided by -288224.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**(-25))*t*t**(2\/5) assuming t is positive.\nAnswer: t**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2958*a**3 + 33*a**2 + 675954*a wrt a.\nAnswer: 17748*a + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64.1 - -64. Let m = -102 + 101.5. Let z = 0 + m. What is the second biggest value in -3, z, 13, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -26, -44, -64, -86, -110?\n\"Answer: -j**2 - 13*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008531151.\nAnswer: 1008531151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4788, -9585, -14382?\nAnswer: -19179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/83 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-10) - -1)\/(81\/270). Suppose 5*y + 50 = 3*p, -29 = o*p - 6*p - y. Solve 0 = -0*w + 3*w - p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 10. Let z(d) = -d**2 + 6*d - 5. Let h(q) = q**2 + 4*q - 1. Let n be h(-5). What is the least common multiple of z(n) and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (462\/(-1925)*(-10)\/2)\/(6\/(-40))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/12 - 2*q**3\/3 + q**2 + q. Let k be n(-5). Is 3 + 6*k\/(-6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Let i be (3\/6)\/(j\/8). Let s = 10 + -7. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150289018?\nAnswer: 2, 11, 621029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*r - 1230320 = -2727789 - 3422147. Is r a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 53.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 0.255243.\nAnswer: -0.01276215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j - 17*j = 4*j - 84 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 + 3*l. Let q(x) = -4*x**2 + 2*x + 1. Let a = 3 + -1. Let s(z) = a*q(z) - 3*n(z). Let o = -577 + 580. Determine s(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(384) + -6*sqrt(384) - sqrt(384))*4 + sqrt(384))\/((-2*sqrt(8) + sqrt(8))*4 + sqrt(8)).\nAnswer: 4 + 92*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76958009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/4 + -3 - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*f + 18, 2*u = 7*u - 15. Solve 3*c = 2*c - f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -263 (c) 0.2 (d) -0.1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -1\/2, -3.128?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.0564 - -0.0564. Which is the nearest to 2\/3? (a) -3\/2 (b) 3\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l - 6. What is the remainder when 37 is divided by k(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -4, -25 in increasing order.\nAnswer: -61, -25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2754\/189)\/3)\/(1261\/182 + -7).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 13 + 12. Suppose -v + 5*a = -16, 12 = v - 0*v - 4*a. Let f = 9 + v. Solve -f*n + 3*n - 19 = c*d, 3*n = -6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-3))\/(-1)*(-3)\/(-1). Let y(h) be the second derivative of -h**3\/6 - 3*h. Give y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**2 + 11104*m + 121902 = 0?\nAnswer: -5541, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 25.02, -0.5, 0.2, -5 in decreasing order.\nAnswer: 25.02, 0.2, -3\/7, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 > -1011920404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, -52, -123, -190, -253?\n\"Answer: 2*z**2 - 81*z + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 12*h**3 - 776*h**2 + 4320*h - 5632 = 0.\nAnswer: 2, 4, 176\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 12:10 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 15\/20*-8)*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -4. Suppose -8*d + 15 = -3*d. Let m(q) = -q - 1. Let f be m(-5). Sort s, f, d in ascending order.\nAnswer: s, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 - 5\/10. Suppose 0*x + z = -3*x + 2, x - 3*z = 4. What is the biggest value in -1\/6, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/13 - 288*x**3\/13 - 1918*x**2\/13.\nAnswer: -2*x**2*(x + 7)*(x + 137)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*v, 4*v - 14 + 0 = 2*f. Suppose -c = f*c. Let h(z) = -1 - 1 + c. Let s(p) = p + 2. Determine 4*h(w) + 3*s(w).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -657.7.\nAnswer: -263.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 2*z + 1. Let i be o(-3). Suppose i = 3*f + 5*t, -4*t - 2 = 4*f - t. List the prime factors of (-1 - f)\/((-1)\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0*y**6 - 1\/1260*y**7 + 0*y**4 + 0 + 0*y - y**2 + 1\/180*y**5 - 1\/36*y**3. Determine u, given that w(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 14 = 17*p + 4*f, -4*p - 2*f = -18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80233 + 66*r - 80233.\nAnswer: 66*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 9190*m\/3 + 212428\/3.\nAnswer: -2*(m - 23)*(m + 4618)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19338460.\nAnswer: 2, 5, 966923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4499*a**2. Let f(b) = 59503*b. Determine f(y(l)).\nAnswer: -267703997*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-1080))\/(425\/1530).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 10777*l**6\/6 - 5*l**2\/2 - 665*l + 2315. What is the second derivative of m(s) wrt s?\nAnswer: 215540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4 - 4*b**2 + 0*b**2 + 0 + 5*b**2 + 4*b. Let j be q(2). Solve w = -2*z - z - j, -3*w - 8 = z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 - -5 - (-7 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*a**3*b - 13*a**3 + 2*a**2*b**2 + 20*b**2 + 7*b + 5 with respect to a.\nAnswer: 90*a**2*b - 39*a**2 + 4*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (26\/52)\/(2*-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -25.2. Let p = 2 + x. Which is the second biggest value? (a) 0.4 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13555*-4894\nAnswer: -66338170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + z + 2. Let c be m(-1). Suppose g = -4*p - 3 + 23, -4*p - c = 0. Suppose -11*h = 2*h - 91. Calculate the remainder when g is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65.71 - 65.67. Let h = -36 - -217\/6. Let n = -0.7 + -0.3. What is the closest to n in z, h, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 4:11 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 7*j + 9. Calculate t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1*1\/(-41))\/(1494\/2988)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -690, -709, -748, -813, -910?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 13.7. Let z = h - 4.158. What is z rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15*21*(-34)\/(-5355). Let n = -2.06 + -0.14. Let u = n - -2. Which is the closest to h? (a) 4 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1448 and 13.\nAnswer: -18824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/42 + (37386\/1449 - 26)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, 0, 65 in increasing order.\nAnswer: 0, 5, 17, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x. Suppose -3*q + x*q - 17055 = 0. Let n = q - -11685. Round n to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = 2*l. Suppose -2*o = -3*w + 118, -3*w = -o + 4*o - 138. Suppose -2*a = 2*y - 24, -y - l*y - 5*a + w = 0. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.022622 + 397.907378. Let z = f - 400. Let r = z + 0.07. Put 0, r, 3 in descending order.\nAnswer: 3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-354)\/(-708))\/(-3*1\/(-6)*-3). Is u at least 160.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15502 + -35?\nAnswer: 15423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:51 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 38\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1699\/10 - 375499\/2210. Which is greater: -4\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 292\/149 + (1 - 3). Let p = g + -14405\/1192. What is the common denominator of (-5 + (-159)\/(-30))\/(3\/(-41)) and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 410.419 - 402.7. Let j = g - 7.11. Is j equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/8)\/(6\/224). Let f = 24 - 20. Suppose -f*j - 11 = -t, 4*j = -5*t + 30 + 1. Calculate the highest common factor of t and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*n + 3*y - y, 4*y = -n + 10. Suppose 74 - 178 = -4*c. Let r = 48 - c. What is the lowest common multiple of n and r?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**4\/12 - f**3\/3 + f**2. Let o be g(-4). Let z be (2\/(-4))\/((-3)\/o). Which is bigger: z or -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331797495 to the power of 1\/2, to the nearest integer?\nAnswer: 18215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5 - 2846*l**4 + 817944*l**3 - 809416*l**2 - 1630208*l = 0.\nAnswer: -1, 0, 2, 398, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 10 = 3*k, -k = 8*y - 3*y + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*m + 89. Let p be 4\/(0 - -1) - (856 + -852). Put m, -1, p in decreasing order.\nAnswer: p, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:13 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253997414 and 31614.\nAnswer: 10538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/(-20) - -2 - (-10)\/(2 + 38)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15702, -15704, -15706?\n\"Answer: -2*r - 15700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 32*t**2 - 37*t + 132. Let j be m(33). Do 7\/975 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 11*a - 2. Let g(p) = p**2 - 6*p + 1. Give -13*g(x) - 6*n(x).\nAnswer: -x**2 + 12*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3427\/120 + 143\/5. Let m(l) be the third derivative of -2*l**2 + 1\/60*l**5 + 0*l + 0 - 1\/120*l**6 - 1\/3*l**3 - r*l**4. Give m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922*h = -14303 + 58559 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -0.3 (b) 1\/8 (c) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -16.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = i + 3*l, 5*i + 2*l = 2*i + 10. Solve -z + 0*z + 2 = i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -605*l + 189*l + 189*l + 181*l + 407. What is t(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 16\/7*x**3 + 64\/7 + 0*x**2 - 4\/7*x**4 - 64\/7*x = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-98 + 82 - -6) + 31 + 0 + 0\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**15\/(i**1)**(-29) assuming i is positive.\nAnswer: i**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-1)\/5*-10))\/((-3)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gttttgg. What is prob of sequence gg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.3, 0.4, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -8*n + 171. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18437.535 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.04 - -0.04. What is the third smallest value in r, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -474?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - v + 9 = 0, 103*m = 106*m - 3*v - 45 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-266)\/21*(-6)\/4. Let g = b + -14. Let u be 9\/3 - (-423)\/(-18)*-2. Calculate the highest common divisor of g and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616996533.\nAnswer: 3, 97, 2120263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1674 and 2689870?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 2, r: 2}. What is prob of sequence rrq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 69093364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 302123551, 302123552, 302123553?\n\"Answer: h + 302123550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhurnbpu. What is prob of picking 1 p, 2 b, and 1 n?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-1)\/(-6)). Suppose -h - 5*p - 3 = -28, 0 = d*p. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/21*(-24)\/16. What is the closest to -1\/4 in 4, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.64 + -0.04?\nAnswer: -10.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 6*(-1 + 0). Suppose 6 = 5*f - 0*f + 3*w, 0 = 5*f + 4*w - z. Let h(i) = -i**2 - i + 8. List the prime factors of h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/1)\/(6\/(-3)). Suppose k*c = -2*s + 24, s = -c - c + 13. Let j = 13 - s. What is the lowest common multiple of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173 and 29556358?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.31 minus 0.329?\nAnswer: -119.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 22*v + 46. Calculate a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -11 - 13. Let y be (-48)\/18*c\/4. Is (-37)\/y*(2 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/2)\/(60\/(-160)). Let m be 48\/(-3 + 4) + t. Suppose -61 = -3*u + m. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 135*j**4\/4 + 117*j + 178. Find the first derivative of z(d) wrt d.\nAnswer: 405*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Suppose -t*o = 2999 + 13401. Round o to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.5281351 and -0.5.\nAnswer: -16.0281351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2. Let q(d) = -1942*d**2. What is q(r(p))?\nAnswer: -31072*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-16) + (32 - 5599\/176). Factor 1\/2 + 3\/4*m + n*m**2.\nAnswer: (m + 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*(-10*s - 86*s - 257*s) to the form g*s + c and give g.\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 112758 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-30)*-5)\/(3\/(-42)). Let g(p) = -p**2 - 14*p + 9. What is g(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnnqqnnqqnqq. Give prob of picking 2 n and 1 q.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 - -3. Let a = j - 66.26. What is a rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, 3, 4, -6120?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1230 - -1892. Is (i\/(-4))\/((-15)\/30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 13. Let s = 82 - d. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, -15\/2, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 44*k**2 - 221*k - 1031. Calculate g(-39).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*k + 32*k + 19*k**4 + (-k - 2*k + 4*k)*(-2*k + k + 0*k)*(-2*k**2 - 2 + 2) in the form v*k**2 + r + s*k**3 + j*k**4 + x*k and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(285) - 1*2*sqrt(285))\/(-2*sqrt(180)))\/((sqrt(147) + (2*sqrt(147) - sqrt(147))*2)*-3).\nAnswer: -sqrt(19)\/756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7. Suppose -4*u + 5*s - 24 + 4 = y, s = 2*u + 4. Suppose -3*f = -u*r + 4*r - 93, f + 5*r - 42 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*w + 20, 9 = -217*j + 220*j - w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -7*b + 8*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57.14 - -57. Let q = w - 0.26. Let p = -1.2 + 1. What is the nearest to 0.1 in 1\/7, q, p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-12)\/9))\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4286866077?\nAnswer: 3, 13, 103, 127, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 225.95 in 1, -0.0546, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11840944 by 4.\nAnswer: 2960236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 5, -19, -4, 7 in descending order.\nAnswer: 7, 6, 5, 2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234486 by -7.\nAnswer: -33498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1889407*a**5 + a**2 - 3865*a + 125 wrt a.\nAnswer: 113364420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/780 and -17\/300?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1176791, -4707203, -10591233, -18828881, -29420147, -42365031?\n\"Answer: -1176809*v**2 + 15*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + n + 13 = 0, 1484*r + 4*n + 22 = 1490*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l + y = 7, 3*l - 4*y = 16. Solve 2*d - 26 = -l*z, 4*z - d - 18 = -1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.999 - -9. Let a = y + -0.371. What is a rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*5\/(-120)*(0 + 1). Which is the biggest value? (a) -4 (b) -77 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 + 1\/(-28). Suppose 0 = -3*j + 6, 5*o + 3*j + 8 - 4 = 0. Let z = 0.34 + -0.04. Which is the third biggest value? (a) h (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -21*i - 2. Let l(r) = 64*r + 7. Calculate -2*l(b) - 7*u(b).\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxnxnin. Give prob of sequence xxn.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k. Let p(g) = 10*g**2 + 3*g - 3. Let w(m) = 301*m**2 + 91*m - 91. Let d(a) = -182*p(a) + 6*w(a). What is d(y(b))?\nAnswer: -350*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6 + z**2 - z**2 + 0*z**2 + z**2 + z**3. Give u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472 and 4484.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 552570 and 7119?\nAnswer: 11603970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 1\/12*d**4 + 0 - d**3 - 3*d + 3*d**2. What is m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 68. What is the remainder when 22 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4987600, -9975194, -14962788?\nAnswer: -19950382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*o = 6534 - 2534 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 439 = -467 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v - 12. Let p be q(7). Let j = p - 18. Put j, 0.2, -4 in ascending order.\nAnswer: -4, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) -0.184 (c) -5 (d) 456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.8 - -5.8. Sort -17, 0.2, -5, v in descending order.\nAnswer: v, 0.2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**3 - 40*l**3 + 8*l - 6*l - 2*l + 78*l**3.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67792 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 1:17 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -19 - -46 - (10 + -5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 974882 less than 7?\nAnswer: -974875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/3 - 3904*r + 23432\/3 = 0.\nAnswer: -5858, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1064419 and 631435.\nAnswer: 37254665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36192.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*80\/(-112)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6216*s - 37283. What is b(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1569 - -2310. Is 35 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/11 + 38*q**3\/11 - 60*q**2\/11 = 0.\nAnswer: -5, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:23 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10)*(-4)\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.034 and 2088.\nAnswer: -70.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -560498*q**2*w**5 - 3*q**2*w + 84*q**2 + 9*q*w**2 + 1406*q*w + 4*w + 1 wrt w.\nAnswer: -11209960*q**2*w**3 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75400?\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 175369689 and 175369690 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s - s)*(1 - 9*s - 3 + 37*s + (s - 4*s + 2*s)*(-5 + 3 + 1) - 3 + 3 + 2*s + (1 + 1 - 4)*(-s + 4*s - s)).\nAnswer: -54*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 = -s, -7*m = -9*m + 4. Solve -s*p - 7 = 5*w, -2*w + 4*w + 1 = -p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2054 + -206?\nAnswer: -2260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/16 + (-19)\/(-2). Let f be 45\/l - (-1)\/2. Solve f*p - 2*t = 15, 0 = -t - 2*t - 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y + 3*o - 125, 0 = 5*o - 15. Let h(t) = t**2 - 6*t - 1. Let d be h(6). Let z = y - d. Calculate the greatest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llcucfzcllluic. Give prob of picking 1 z and 1 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxc. What is prob of picking 2 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oobooeoebqqeo. Give prob of sequence qq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 1, z: 2}. Give prob of picking 1 u and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -184 divided by 8\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*k**3)*(-24 + 41 + 28)*(0 + 4 + 5).\nAnswer: 810*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 610*b + 107. Calculate j(-1).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 588 and 0.02.\nAnswer: 588.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o - 4*f + 39 = 0, 4*o - 5*f - 64 = 0. Calculate the remainder when 11 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 2*h**2 + 2*h + 3. Give p(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8592.8265 to the nearest integer.\nAnswer: -8593","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 12201365\/2292 - 15970\/3. What is the common denominator of 89\/28 and z?\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 3*r**2 - 3*r + 4. Suppose -4*a + 9*a = 0. Suppose -5*m + 3*m + 8 = a. What is y(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 8. Let k be p(8). Let c = 26 + k. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 8. Suppose -4*a = -32 - 16. Let f = -5 + a. Calculate p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2408 - 2406.967. Let o = l - 0.033. Which is the closest to 2? (a) 0 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.9, 0.1, 18, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 7*r\/5 - 24.\nAnswer: (r - 8)*(r + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3 = -4*k + 6, 4*u + 3*k = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 4. Let r(j) = 5. Let i = -187 + 183. Suppose 5*d - 13 = -2*a + 4*a, 0 = 2*d - a - 5. Calculate d*r(p) + i*n(p).\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6133*a**3*m + 115*a**2*m - 12*m + 11 wrt a.\nAnswer: -36798*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 773 + -781. Let o(u) = 23*u + 189. Give o(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1200)\/(-1890))\/(-10)*238\/(-4).\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**5 - 14491*p**4 - 6250*p + 2.\nAnswer: 40*p**3 - 173892*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + h + 11 = 0, -5*h = -4*f - h - 4. Suppose -444 = -2*w - f*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**4\/24 + 195*d**2. Let a(v) = -128*v**2. Determine h(a(r)).\nAnswer: 128*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**4 - 50*c**3 + 40*c**2 + 50*c - 45 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 7 - -7 - 220. Let t = 658 + n. Does 55 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 + -222. Let i = -37 + 113. Let y = m + i. What is the biggest value in 0.2, y, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -1225\/4*g**3 - 7 - 35\/8*g**4 - 7*g - 1\/40*g**5 - 42875\/4*g**2. Factor k(f).\nAnswer: -(f + 35)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 0 + 0)*(-2*o + 2*o + 2*o**2) + (2*o**3 + 0 + 0)*(4*o - 4*o + o**2) - o**5 + 0*o**5 + 0*o**5.\nAnswer: 3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 7*r**2 - r + 9. Let o(m) = -3*m + 115. Let t be o(36). Calculate l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 18*a - 6. Let u(y) = 36*y - 11. Calculate 11*f(n) - 6*u(n).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 788 divided by 7\nAnswer: 788\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 64855 divided by 545?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 61, 95, 129, 163?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 92 = 2*b, -b + 4*i - 19 = 33. Let t = b + 59. Let n = t + -21. Calculate the smallest common multiple of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26725?\nAnswer: 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 13*m**2 + 21*m - 10. Calculate the remainder when 488 is divided by l(12).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/21 + (-53)\/3. Let s = u + 30. Suppose 4*x - x = s. Calculate the lowest common multiple of 6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75 + -9?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29.576232 months?\nAnswer: 0.02464686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 378088 >= -0.4325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*g + 18883 + 2690. What is the greatest common divisor of g and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 8:44 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 80227284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:27 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(0*d - d - d)*(-35 - 11*d + 35)*(-2*d - 1 + 1 - 1).\nAnswer: 44*d**3 + 22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491900 a multiple of 1302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -39622000 to the nearest one hundred thousand.\nAnswer: -39600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(106\/(-102) - -1).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11577 and -11578 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u = -757 - 161. Find the third derivative of -2248 + u*k**2 + 5*k**6 + 18*k**4 + 2248 wrt k.\nAnswer: 600*k**3 + 432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3264 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 16 = 2*c + 4, -c - 5*j + 6 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p - 3. Let u(j) be the first derivative of -5*j**2\/2 - 5*j + 5. Determine 4*u(b) - 7*y(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 15*x + 20. Let h be d(-14). Let g = 1.425 - 1.225. What is the third biggest value in h, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -620*j**5 + j**4 - 4*j**2 - 2329*j - 3 wrt j?\nAnswer: -12400*j**3 + 12*j**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/10 - -1\/20. Let h = 1 + 0. Let a = 601\/4 + -151. What is the closest to 1\/2 in a, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(112))*-6.\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 71\/(-22) + (-6)\/(-12). Let h = -131\/44 - d. Which is the nearest to h? (a) 5 (b) -1\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(sqrt(1331) + -3*sqrt(1331) + sqrt(1331) + -1)**2 + -3*(4 + (sqrt(1331)*2)**2)*2 + 0.\nAnswer: -23976 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 32*t - 596. Suppose 31*z - 5*v + 155 = t*z, -5*z + v = -185. What is the least common multiple of 168 and z?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1847888 tonnes in nanograms?\nAnswer: 184788800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 46 = -2. Suppose -5*l + 9 + u = 0. Let n(b) = 0*b + l*b + 0*b - 2*b. Let y(f) = -8*f**2. Determine n(y(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away 1609302?\nAnswer: -1609294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 522.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahad when four letters picked without replacement from {d: 1, h: 1, a: 2, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -139275 != -136920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10581.799 + 0.2.\nAnswer: -10581.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 5.1. Which is the third smallest value? (a) 3 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 55*q**3 - 2*q**2 + 3*q - 2. What is the smallest common multiple of 18 and t(1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 110. Give d(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8295019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6067441 to the nearest integer?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -11, 0.03, -3\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5699.949l in millilitres?\nAnswer: 5699949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -67514 divided by -940?\nAnswer: 33757\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(20\/13)*x**(1\/4)\/x*x**(-7) assuming x is positive.\nAnswer: x**(-243\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -3\/7, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -b - 5, 0 = 4*b - m - 21 - 24. Factor -3 + b*g + 2*g**2 - 3*g**2 - 2*g - 4*g.\nAnswer: -(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 8*b**2 - b + 8. Let a be m(-8). Let q = -7 + a. Suppose 4*g = -5*p + 12, 4*p = -3*g + 2*p + q. Solve 0 = -0*n + g*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 33*s - 16. Let x(o) = 9*o - 5. Let h(g) = 4*c(g) - 14*x(g). Let j(l) = 4*l + 4. What is -5*h(i) + 8*j(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 1\/16, 232, -4, -5 in increasing order.\nAnswer: -5, -4, 1\/16, 69, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/204384 and 53\/12.\nAnswer: 204384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:10 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55142757*c*w - 32097194*w wrt c?\nAnswer: -55142757*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-65)\/10*(2 - 0). Let l = p + 6. Let u = l + 11. Is u at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 4 + -42 + -2. Let w be (-3)\/j*3 + 39\/130. Sort w, 54, 3 in ascending order.\nAnswer: w, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 19.3. Let i be -2 - (2 + 22\/(-5)). Let o be (-2)\/6*-3 - 5. Which is the third biggest value? (a) i (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k**4 - 186*k**3 + 249*k**2 - 120*k + 12 = 0. Calculate k.\nAnswer: 2\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 177680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2949, 11807, 26571, 47241?\nAnswer: 73817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(14\/9)\/(c**(-1))**29 assuming c is positive.\nAnswer: c**(275\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 3*a + 2. Let k be m(1). Let u be (-4 - (k + -4))\/3. Do 2 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 781461.5ml to litres.\nAnswer: 781.4615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.08 (b) -7 (c) -0.39 (d) 0 (e) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-6)\/(-4))\/((-3)\/4))\/(56\/(-392)). Which is smaller: i or 139\/10?\nAnswer: 139\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -99, -93, -87?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 194*g**2 + 105*g**2 + 0*g**3 + 89*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 9)*(-3*a + 3 - 3)*(3*a**3 + 2 - 4*a**3 - 2*a**3).\nAnswer: -36*a**4 + 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 303*c**2 - 1191*c + 1495.\nAnswer: -(c - 1)*(c + 5)*(c + 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -19.2. Put -1\/7, -4, b in descending order.\nAnswer: b, -1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + (-462715)\/(-44) + ((-9)\/4 - -2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5 + 10. Suppose -l - 4 = -t. Let h be (-774)\/(-22) - 6\/33. Calculate the greatest common factor of t and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6\/11)*w**(1\/5)\/w*w*w*(w\/(w*w**(-2\/3)))\/w*w*w*w*(w\/w**16)\/w assuming w is positive.\nAnswer: w**(-2092\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 11*x + 5. Let k(p) = -p**2 - 5*p + 2. Let r = -337 + 333. Give r*o(n) + 9*k(n).\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35298808 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19\/4 (b) 52 (c) -1\/710 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 32*o**2 + 14*o + 950. What is x(28)?\nAnswer: -1794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i + 118*i - 92*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -1 (c) 0.5 (d) -140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/6 - 6\/4. Find the second derivative of b**d + 2*b + b + b**5 + b**5 wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7438056?\nAnswer: 2, 3, 41, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2)*3)\/((-205)\/(-1230)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 9*o**2 - 20*o + 6. Determine l(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395373 is divided by 65749?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*j - 16 + 544, f + 4*j - 179 = 0. Suppose -8*b + f = -57. Suppose -l = -3 - b. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*d + 25, d - 40*f - 5 = -35*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)\/k)\/(((k*k*k**(-9))\/k)\/k*k*k))\/(k**(-5)\/(k**(2\/3)*k)) assuming k is positive.\nAnswer: k**(155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(3\/(-3) - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 - 186 = 5*o, -3*o + 155 = 113*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 154 + -120. Let i = s - 33.99752. What is i rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 + 10 + 9)*(-m**2 + 0*m**2 + 0*m**2) to j + g*m + n*m**2 and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = d, 5*m = 4*d - 10 - 7. Calculate the remainder when (-10)\/(-4)*(-294)\/(-105) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174629 is divided by 2104.\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 j when three letters picked without replacement from jjzz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51456 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2722 - -3826. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5 - 18 = p, q - 4*p - 10 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u. Let d(i) = -i**2 + 5*i - 5. Let j(o) = 3*o - 3. Let g(t) = -3*d(t) + 5*j(t). Determine n(g(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -90, -109, -138, -177?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-29243)\/(-7) + -26 + (-185)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/10 - 59653*l\/5 - 3558480409\/10.\nAnswer: -(l + 59653)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7438 - 3310. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -611*u**6\/6 + 313*u**4\/6 - 3*u**2\/2 + 4899*u - 2. What is the third derivative of c(g) wrt g?\nAnswer: -73320*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55ab9 + -12?\nAnswer: 55aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 6 + 8\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 < -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = 16*d + 11528. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1001 = 5*z + 5*b - 2*b, 4 = 2*b. Let y = z - -102. What are the prime factors of y?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 198.7 - 209. Let c = l + 1.3. Let r = 9.5 + c. Round r to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 6*b + 3*b)*(b**3 - b**3 + 5*b**3) - 157*b + 158*b + 6366*b**4 + 848*b**4.\nAnswer: 7209*b**4 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/71 in 0.2, -27, 5, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 21*k = -1890. Suppose -101*l - 16 = -k*l. Solve 0 + 18\/7*i**2 + 6\/7*i**l + 18\/7*i**3 + 6\/7*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + x**2 + x - 1. Let q(l) = -6*l**3 - 11*l**2 - 7*l + 2. Let r(t) = -5*n(t) - q(t). List the prime factors of r(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151781 is divided by 15177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 0. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4633*-253.\nAnswer: -1172149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1207 + -13.1207. What is the closest to 1 in 1, 1\/4, p, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-2)*(-29 + 31). Suppose -13 = p - 5*o, -n*p + o + 1 = -6. Which is the closest to 0? (a) p (b) -1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 131922 = 197547. Is c 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 166676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/13, 0.5, -0.5 in decreasing order.\nAnswer: 0.5, -0.5, -15\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 + 3*a**2)*(-2*a**3 + 0*a + 0*a) + (1 - 2 + 3)*(-4*a**4 - 3*a**5 + 4*a**4).\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -k + 3*k. Let q be (2\/k + 0)*2. Let u be q - (-2 + 0) - -2. Solve 5*m + 2 = u*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**8\/560 + b**7\/70 - 7*b**6\/200 - 41*b**5\/100 - 3*b**4\/4 - b**2 + 52*b. What is d in z(d) = 0?\nAnswer: -5, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-24)\/9) + (-4410)\/(-8). What are the prime factors of (6\/(-9) - -1)\/(4\/r)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*g - 8. Let c(n) = 218*n + 3. Let v be c(g). Find the second derivative of v*z**2 + 19*z - 190*z**2 + z wrt z.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 60264 and -545.\nAnswer: 59719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2024389*g + 2024466*g - 4048965*g.\nAnswer: -110*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 0 + 12\/3. Put i, -1, -7 in decreasing order.\nAnswer: i, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*j - 11734 - 7573 = 0 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {t: 2, z: 4, y: 2, b: 11}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1244935559 to the nearest integer?\nAnswer: 35284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.155 + 0.345. Let d(m) = -m**3 + 8*m**2 - 14*m + 11. Let x be d(6). Which is the third smallest value? (a) -0.1 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 13 + 8 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*g = m + 3, 0 = -5*m - g + 18. What is the highest common factor of m and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*s + 8848 = 120*s. Let q = 25 - 9. What is the greatest common factor of q and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 0, -4, -22 in ascending order.\nAnswer: -22, -4, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3276 + -3254. Sort v, 3, 1, -4, 7 in ascending order.\nAnswer: -4, 1, 3, 7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -440*o**2 + 428*o. Determine r(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*18036.\nAnswer: 72144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234844, -469690, -704536, -939382?\nAnswer: -1174228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g + 24*g**2 - 14*g)*(119*g - 2 + g**2 - 115*g + 2).\nAnswer: 24*g**4 + 96*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 85?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**3\/3 - n. Let z(w) = -2*w**2 - 5*w + 5. Let x(j) = -j**2 - 2*j + 2. Let c(y) = 10*x(y) - 4*z(y). Determine c(m(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 4*h**2 - 4*h**2)*((0 - 4 + 5)*(h + 4*h - 2*h) + h + 4*h - 2*h).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 5 = -3*m. Suppose -m*y - 37 = -4*y + n, -42 = 2*y - 4*n. Let h = 33 + y. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448071488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 + -240. Let u(q) = -27*q - 182. Let d be u(f). Solve 0 = n + 2 - d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239.43 or 3?\nAnswer: -239.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 16*d**3\/3 - d**2\/2 - d + 1666. Determine v(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -3*l**5\/20 - 11*l**2\/2 - 14*l + 5. Let q(j) be the first derivative of w(j). Differentiate q(g) wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-6)\/(-9) + (-568)\/(-12). Suppose k*b - 41*b = 7553. List the prime factors of b.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by ((-4)\/(-8))\/(2\/(-6))*-26?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 14*j + 14. Let m be g(1). Solve 5*o + 0*o + 3*i = 4, 2*i = m*o + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -233*v**3\/3 + 555*v**2\/2 - 404. What is the second derivative of o(z) wrt z?\nAnswer: -466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*a = -522*a + 2817*a + 3165*a - 111034 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 - 2*g**3 - 8*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/3 and -14\/499?\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 3 - 1 + 46*k.\nAnswer: 45*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2585, 10328, 23225, 41270, 64457, 92780, 126233?\nAnswer: 164810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397170803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5 + 1400*a**4 - 13746*a**3 - 37332*a**2 + 49680*a = 0.\nAnswer: -3, 0, 1, 12, 690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {g: 1, s: 2, i: 5, l: 6}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 + -112. Is 212118\/c - 11\/55 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -1) + (-122414)\/6111.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52 and -2383.20121.\nAnswer: -2331.20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -6, -50, -122, -228, -374?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -25*k**3 + 10*k - 24. Suppose 3*y - 7 - 15 = 4*v, -12 = 2*v - 2*y. Does 39 divide a(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5661732160 to the nearest integer?\nAnswer: 75244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -76*m - 3. Let x(g) = -230*g - 8. What is -17*b(k) + 6*x(k)?\nAnswer: -88*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 j when four letters picked without replacement from bjbcjjcjjjjjj.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -3*sqrt(48)\/sqrt(4) + sqrt(12) - sqrt(12))\/(-2*sqrt(6)*1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = g, -4*t - 2*g + 890 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1 + 9 = 0. Let x(o) = o - 1. Let i(p) = -p**3 + 7*p**2 + 6*p - 41. Let m be i(7). Let b(f) = -f + 2. Determine c*x(y) + m*b(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 27. Solve r*v = v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 258382954 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4 = -a, -7*o = -8*o + 3*a - 2 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -5\/1002068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.9 and -3?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1703849 and 2444897?\nAnswer: 2807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -323*v. Let q(o) = 6*o. Determine x(q(b)).\nAnswer: -1938*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -21*r**5\/20 + 5*r**2\/2 + r + 8. Find the first derivative of h(n) wrt n.\nAnswer: -63*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -8, 3, -4\/3 in increasing order.\nAnswer: -8, -4\/3, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5*f*f*f*f**(-1\/7)*f assuming f is positive.\nAnswer: f**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 0.3, 1, 0.027, 0.02?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 19. Determine l(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1406361*a**4*x**3 - 952*a**2*x**3 - 45*a**2*x**2 + 2*a**2*x wrt a?\nAnswer: 33752664*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5002210 - 10004428 + 5002218 + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 0.01?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 354 = 6*k. Suppose -i - k = -281. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 36*k - 183. Let h(n) = 35*n - 178. Let t(u) = -6*h(u) + 7*x(u). What is the remainder when 229 is divided by t(6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/4*(182\/49 - 4). Suppose -b - 4*b - 3*q - 22 = 0, 2*b + 9 = -q. What is the nearest to 2\/5 in b, k, -8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(363) + (sqrt(363) + 1 - sqrt(363))**2 + 1 + sqrt(363) - 4*sqrt(363)*-4).\nAnswer: 2 + 198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000146732 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + -2*(3*(sqrt(3) - 2*sqrt(192)) - (sqrt(9)\/sqrt(3)*5 + -1 + sqrt(12)\/sqrt(4)))))**2.\nAnswer: 22032*sqrt(3) + 1123956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -810 + 1?\nAnswer: -809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 52620784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - f + 1, 12 = -5*f - 13. Solve -g*v = v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 594.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 235*g**4*r + 50*g**3*r**2 + 2*g**2*r**2 - 2*g**2*r - 7*g**2 - 354*g*r wrt g?\nAnswer: 5640*g*r + 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*o - 2742*o - 3703*o = -1180*o - 575552 for o.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5126857711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2104220432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38512599038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuu. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f*n**2*z - 6*f*n*z + 2*f*z - 182*n**2*z - 2*n**2 wrt f?\nAnswer: -3*n**2*z - 6*n*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(-2\/29)*h*h))*h\/(h*h**(-5\/8))*h)**(3\/23))**(4\/25) assuming h is positive.\nAnswer: h**(99\/1334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-12 - (1 - 3)) + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*sqrt(65) + sqrt(65)) + sqrt(65) - (sqrt(65) + -2*-3*sqrt(65)))\/(-2*sqrt(605) + sqrt(10)\/(sqrt(2)*-1)).\nAnswer: -19*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 19*y - 72 = -22*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/5 and 53\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b9138 + 5?\nAnswer: -5b9133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-802 - 18)\/(-20) - 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/9)\/(x\/x**25) assuming x is positive.\nAnswer: x**(218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -498, -751, -1026, -1329, -1666, -2043?\nAnswer: -2466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.8 (b) 4 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, -8\/31, -0.2?\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 11*p - 4. Let l be f(-10). Let g(r) = -r**2 - 14*r + 24. Calculate the remainder when g(l) is divided by 2\/(-7) - 325\/(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -345 + 344.9. What is the nearest to u in 0.2, -0.3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 4, v: 3, l: 1, a: 2}. Give prob of sequence mlv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 19, -2, 4, -5 in ascending order.\nAnswer: -5, -2, 4, 19, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 + 245. Let m = b - 126. What are the prime factors of 4\/2 + (1*-132)\/m?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v**4 - 34*v**4 - 51*v**4)*(-4 + 1 + 2)*(-1 + 3 + 3).\nAnswer: 350*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7978 not equal to 7978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1245243*n. Let f(j) = 66*j. Determine f(a(m)).\nAnswer: 82186038*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3668 and 98?\nAnswer: 25676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15708)\/(-85)*(-60)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/44 and 88\/15.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8954 rounded to 2 dps?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-141)\/6 - -23)*(1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 509597 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i. Let o(r) = 4*r. Suppose 5*n + 0*k - 2*k = -22, -5*k = -4*n - 4. Let x(f) = n*h(f) + 11*o(f). Suppose -7*b + 2*b = 10. Determine x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123515029?\nAnswer: 11, 19, 293, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6716 - -0.34.\nAnswer: -6715.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -7*s - 4*n + 366, -s = 5*n - 69. Suppose 3*p - 3*v - 31 = -112, 2*v = -2*p - s. Let k = p + 57. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10123241987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 22, 38, 62?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 5}. What is prob of sequence mmm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0848 and -0.06?\nAnswer: -0.005088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 680141693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 43*n - 46*n = -34951, n + 34923 = 5*m. What is the highest common factor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*q - 108 = -5*x, -5*q = 3*x - 111. Solve -14*t - x = -6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 27*y + 3. Let q(p) = 106*p + 13. What is 9*c(m) - 2*q(m)?\nAnswer: 31*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25818)\/52)\/((-3)\/2). Let s = v + -331. Solve 3*a - z = -s*z + 10, 5*z - 2 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*k - 22*k - 3 + 5*k**2 + 40*k as q*k**2 + y + r*k and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((15 - 14) + -2 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -195*d + 207*d - 72. Solve 4*p + 0 = o + d, -3*o = p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2016*l + 335*l = -50430 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.064 - 2.936. Which is the second smallest value? (a) q (b) 4 (c) 0 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 243*t - 6060.\nAnswer: 3*(t - 20)*(t + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 103262 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.2910419 nanoseconds?\nAnswer: 0.0002910419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - 30\/(2 + -8). Let o be (t - 2)*(4 + -2 + -3). Solve 0 = -2*v - 11 + o, v = 3*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(98) + 1 - sqrt(98) - sqrt(2))**2 - (-5 + sqrt(162) + 2)**2)*-5.\nAnswer: -250*sqrt(2) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4399\/8 + -550. Let h(z) = -z**2 - 3. Let j be h(0). Which is the closest to -1? (a) n (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23414.77506 to the nearest one hundred.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-168)\/(-32)*4 - 2. Solve -c = k - 21 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -34*o**2. Let q(w) = 10*w**2. Determine q(z(s)).\nAnswer: 11560*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 5*j + 2. Let t be n(4). Let h be 4 + t\/(-4) + -1. What is the closest to 0 in 5, 0.05, h?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (29 - 41) - (-14 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n**(-3\/10)\/n)\/n*n*n)**14 assuming n is positive.\nAnswer: n**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2152, -4309, -6454, -8581, -10684?\nAnswer: -12757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*x - 172 = -126*x + k, x - 5*k = 140. Factor -45\/2*p**4 - 54 - x*p - 3\/2*p**5 - 435\/2*p**2 - 225\/2*p**3.\nAnswer: -3*(p + 1)**3*(p + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**2 + 36 - 36 + 28*j**2 + (2*j + 0*j + 2*j)*(-4*j - 6*j - j) + 3*j**2 - 2*j**2 - 3*j**2.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 - 23*o + 55. Let f be w(7). Is ((-10)\/4)\/((-9)\/f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 0)*(-l + 2*l + l)*((-2*l + l + 3*l)*(2*l - 2*l + 2*l) + 3*l - 521*l**2 + 32*l + 525*l**2).\nAnswer: -112*l**3 - 490*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2733520\/63 + -43388. Let a = 10\/7 - v. Let 4\/9 - a*k**3 + 2\/9*k**4 - 2\/3*k**2 + 2\/9*k = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 41*p + 310. Let g be f(-47). Solve g = 8*t - 3*t - 4*l, 14 = 5*t + 3*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10482491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*1*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -244 - -179. Let o be (-42)\/n + 26\/169. Put -0.2, 9, o, 3\/8 in decreasing order.\nAnswer: 9, o, 3\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 9*z + 10*z + 0*z + 585*z**2.\nAnswer: 585*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16724.6065082 plus 2.5?\nAnswer: 16727.1065082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1 = 3*w, 2*i + 17 = -3*w + 8*w. Let h = 18 + -34. Let a be (-16)\/(-3)*(-24)\/h. Solve -x = -w*d - 14, -5*x = -12 - a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/7 of a week in days?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**2*y**6 - 4*v**2 - 27*v*y**5 + 3*v*y**2 + 5*y**2 wrt y.\nAnswer: -120*v**2*y**3 - 1620*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/4 of a minute?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583846317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaakaaalaaaaa. What is prob of picking 2 a and 1 k?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 188.73593 from -0.07.\nAnswer: -188.80593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1525 (base 8) to base 6.\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2605644146 minus 0.3853?\nAnswer: -2605644146.3853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12647800?\nAnswer: 2, 5, 11, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -849*l + 6. Let p be w(-2). Suppose 0 = -4*b + p - 16. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30019589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 9. Let z(v) = -1. Give k(p) + 4*z(p).\nAnswer: -2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 6 (c) -0.5 (d) 8\/21 (e) 5 (f) -52 (g) 3\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 6 = 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(180) + 0)*6*3 + ((sqrt(180) + -2)*-2 + sqrt(180))*-4)**2.\nAnswer: -5016*sqrt(5) + 87481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 269*z - 22593. Determine g(84).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 209739814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.514732 times -321?\nAnswer: 165.228972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 - 65*y**2 + 51*y + 17. What is the remainder when 1300 is divided by q(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-8) + 0 + 0. Let l = 5704 + -5703.7. What is the third biggest value in 6, 5, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3190, 1\/2, 1\/129?\nAnswer: -3190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 44. Let g(c) = -c**2 - 17*c + 26*c - 2 + 7*c. What is the remainder when g(u) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6 - 119922\/(-414). Calculate the highest common divisor of 485 and h.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3868+0.005\nAnswer: 0.3918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q - 123 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1363500 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1136*g**2 + 1144*g - 6. Give o(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145287520?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p + 4, 5*p - 398 = -3*z. What is the greatest common divisor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a. Let z(x) = -35561*x**2. What is r(z(t))?\nAnswer: 35561*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 3*f**2 - 3*f + 3. Let t = 1501 - 1498. Give m(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + ((-12)\/4 - -52). Let w = 50 - b. Solve 3*c = -2*y + w, 2*c + 1 = -4*y - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n**2 + n - 2. Let j(z) = 1. Let r(d) = -d**2 + 4. Let h(c) = 4*j(c) - r(c). Give 5*h(x) - i(x).\nAnswer: 14*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 1\/8, -12030?\nAnswer: -12030","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 + 140*f - 773. Determine s(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 7 in increasing order.\nAnswer: 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g + 4*d - 4, 2*g - 25 = 5*d. Suppose 3*o = -5*s + o + 50, -s - 3*o + g = 0. List the prime factors of 2\/s - 42\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518771011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 5*g**2 + g**2 - 4*g**3 + 4*g**2 in the form m + h*g + i*g**3 + l*g**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100101211001012 - 12?\nAnswer: -10100101211001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -2 (c) -5 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -71 + 32 - 73 + 6*l + 0*l. Let s be o(22). Suppose 4*c = 2*c - 2*p + 10, p = 1. Solve -g - c*g = -s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 + h**3 - 2*h**3 + (0*h - 2*h**2 + 0*h)*(-2*h - h + h) + 35*h + 5*h**3 - 33*h + 7*h**3.\nAnswer: 17*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(-2 - 26\/(-10)). Let d(z) = z + 17. Let v be d(-12). Let k(t) = -1 + v*t**2 - 4*t + 0 - 1 - 4*t**2. Determine k(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 - 25. Let c = -60 - q. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b + 1. Let n be u(1). Let h be (4\/(-3))\/((-4)\/n). Suppose -3*z = -2*a + 14 + 9, -2*a = -5*z - 33. Solve -h*i = -6*i - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 3*n**2 + 1. Let y be m(3). Let s be (4\/10)\/(y\/10). Which is the nearest to 1\/2? (a) -1\/4 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 6*i + 1673. Give x(-43).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250874 (base 9) in base 5?\nAnswer: -133324214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Suppose b = -9*y + 4*y. Let u be (y + 4)*-1 - -4. Put -5, -2, u in descending order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-270)\/(-33) + 2\/(-11). What is the highest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287918 (base 10) in base 5?\nAnswer: -312203133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/63, -2, 7, 2, 0.1 in decreasing order.\nAnswer: 7, 2, 0.1, -2\/63, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 345c32 (base 14) in base 5?\nAnswer: 424031002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13073738684 + 13073738684 + 123*i.\nAnswer: 123*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 26*l + 30. Let t be q(-25). Suppose -t*g - 15 = -545. Calculate the remainder when g is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26999322 is divided by 212593?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) -0.1 (b) -1 (c) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in 2\/5, -78, -3.7, 1\/5, 11\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3806 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2*n - 5*c = -18, 2*c - 6 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10898, 573, 1 in ascending order.\nAnswer: -10898, 1, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 279190 * -55.\nAnswer: -15355450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 15. Let t(z) = 3*z + 15. Let x(m) = 4*j(m) - 3*t(m). Let q be x(7). Solve v - 2*n = 3*v - 12, 0 = -3*v + 2*n + q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 320040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 10 = 4*w, -p = -0*p + w + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7*l - 8 = 3*l, 0 = -2*d + 5*l - 13. Suppose -3*n + 29 = 8. Solve 0*a + 2*h + d = 5*a, h = -4*a - n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 1550*u - 1554*u + 84, 336 = -u - 16*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106305499?\nAnswer: 13, 5087, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 plus 726407796.4?\nAnswer: 726407796.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2\/4 - 5*b\/2 = 0. What is b?\nAnswer: -10\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -1 + 5)*-5.\nAnswer: -20 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -12 - 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose -90*i + 85*i + 30 = 0. Find g, given that -4 - 3*g**2 + 1 + v + i*g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-10)*(-20)\/8. Let b(y) be the first derivative of 8\/5*y + 0*y**2 - 5 - 2\/15*y**p. What is r in b(r) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56918 + -21238. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqcxxcqqqxfqqccfcxq. Give prob of sequence xxf.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89651 is divided by 129.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*u**4 + 2*u**3 - 14395*u**2 + 946287*u - 1?\nAnswer: -924*u**2 + 12*u - 28790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/90 - k**4\/36 - 7*k**2\/2 - 6*k. Let p(a) be the first derivative of w(a). Factor p(o).\nAnswer: -2*o*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308370 = 4*s - 10*p, -3*p - 308433 = -9*s + 5*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 + 2*z**4 - 3*z**2 + 3212*z - 15*z**3 - 4*z**2 - 3190*z to i*z + y*z**3 + j + f*z**4 + g*z**2 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006368266 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 47228 = 47893 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.7. Let t be (117\/15 - 8) + 12\/10. Which is the second smallest value? (a) t (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2286564 + 360752 = -28*x. List the prime factors of x.\nAnswer: 109, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.43 times 0.2?\nAnswer: 5.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12059 - -11?\nAnswer: -12048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13311, 53936, 121659, 216486, 338423, 487476?\nAnswer: 663651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 26269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1535, -10, -2\/13 in descending order.\nAnswer: -0.1535, -2\/13, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 255852.6l in millilitres?\nAnswer: 255852600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 28. Let c(s) = -s**3 + 6*s**2 + 2*s + 4. Let w be c(f). Let u = -10 + w. Let z(m) = -m**2 + 4*m + 4. What is z(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108580085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 5. Let j be x(2). Let z = -2.4 - -2.8. Let r = 0.4 + z. Which is the nearest to 0.2? (a) -0.2 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 9*z - 7. What is d(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4751449.00615 + -4751256. Let k = z - 193. What is k rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) -3 (c) -0.4671 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 104\/22134945 and -87\/4216180.\nAnswer: 88539780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4 + 88*g**3 - 379*g wrt g?\nAnswer: 24*g**2 + 528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 13*t**2 - 2*t + 30. Suppose -2*k - 11 = -m - 0*m, -4*k = -4*m + 48. Let h be g(m). Solve 2*x + 3*l + 11 = 0, -2*x - 8 = x - h*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 63 - (-1 - 0)*1. Let g = j + 78. What is the lowest common multiple of 24 and g?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23964374453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 14\/5, 6, 13, 71\/3?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*h**3 - 21*h**2 + 0 - 60*h = 0.\nAnswer: -10, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-8 - (-1 - -2)). Let i be (-27)\/(-6)*6\/m. Suppose -i*v - 12 = -0. Sort 3, 1, v in descending order.\nAnswer: 3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 17*u**2 + 13*u - 38. Calculate b(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 9330228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 194, -4, 0, 10, 4, -3 in decreasing order.\nAnswer: 194, 10, 4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -1)\/(4\/22). Let n(p) = -17*p + 2. Let y(j) = 9*j - 1. Let i(v) = u*y(v) + 6*n(v). Differentiate i(m) wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)*w**(-2)*w*((w**(-1\/4)*w*w)\/w)**(-1) assuming w is positive.\nAnswer: w**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159390880*o**2 - 2*o + 84897234 wrt o.\nAnswer: 318781760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8 - 58*l + 11592*l**2 + 58*l. Let j be p(-7). Suppose 4*f - 8*f + j = 0. What is f rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 19*h = -12. Solve -c = h*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 2 + 0 - 2. Let l = -27 - -58. Let u(w) = 31 + 3*w - l. Determine u(y(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 3, -2, 46949, -5 in decreasing order.\nAnswer: 46949, 3, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*o - 2 = -179 - 21. Let f(g) = g - 1. Let u(n) = 7*n + 5. Let q(m) = -4*f(m) - u(m). Determine q(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34, -85, -344, -743?\n\"Answer: -70*o**2 + 91*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 1126*y**2 - 3551*y - 1460760.\nAnswer: (y - 37)*(y + 35)*(y + 1128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1 + 3 + 7 - 24*g.\nAnswer: -24*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 18 = 28*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2368\/4261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -404, -408, -412, -416?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuux when four letters picked without replacement from {t: 6, u: 11, x: 1}.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -76?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 332 + -318. Solve -29*g + 45 = -d*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/10 and 15\/1649?\nAnswer: 16490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 430 + -428. Suppose -31 = 4*i + 1. Put -3, -2, i, y in descending order.\nAnswer: y, -2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44228537 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 greater than 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = 20*b - 94. Factor 1 + 1\/3*h**b - 4\/3*h.\nAnswer: (h - 3)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7*p*p**(1\/11))\/(p**(3\/2)\/p**0) assuming p is positive.\nAnswer: p**(145\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30776, 30781, 30788, 30797, 30808?\nAnswer: 30821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + -54763?\nAnswer: -54740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -568, -1171, -2014?\nAnswer: -3097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6591 or 39547\/6?\nAnswer: 39547\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 241*y - 1416. What is i(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1498 - 167291?\nAnswer: -168789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**8*f)\/f**(-4))\/(f\/f**(-12)*f**39) assuming f is positive.\nAnswer: f**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*a + 19*a + 7*v = 42, v = -v + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:10 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-25 - -14) - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 4*c**2 - 6*c + 7. Let d = -67 + 75. Suppose d = 2*f - 2. Calculate z(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11225 at most as big as 545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-102)\/4)\/(6\/(-8)). Calculate the greatest common factor of 986 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -11 + 3*x - 2*x + 10 - x**3. Let q(d) = -17*d**3 + 2*d**2 - 2*d + 28. Let f(u) = q(u) + 2*z(u). What is the third derivative of f(a) wrt a?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65.1 - -6.1. Let o = 0.192 + 44.808. Let y = o + c. Which is smaller: y or -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-82)\/3567)\/((-16)\/(-12) - 2). Which is the second biggest value? (a) -3 (b) -1 (c) f (d) -29 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09498 minus -21424779?\nAnswer: 21424779.09498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2*11*14\/77\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1326948 and 2212?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/74732857 or 1?\nAnswer: -3\/74732857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 + 0 - 2*i**2)*(0*i - i + 6*i) - i**3 + 5*i**3 - 2*i**3.\nAnswer: -8*i**3 - 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.072, 14674, 2\/3?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 285 = 3*z, -2*z = p + 15 + 42. Suppose 0 = -i - i + 48. Is 4\/(i\/p)*-2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39693.\nAnswer: 3, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 20374706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 0. Let w = 0.4 + -0.3. Let d be (-1 - -2)\/((-7)\/2). What is the closest to d in l, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3314439\/1245)\/153)\/((-3)\/(-5)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62773146, 125546289, 188319432, 251092575, 313865718, 376638861?\n\"Answer: 62773143*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -1011000100010?\nAnswer: -1011000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -1 + 0*k**4 + 0*k**5 + 1\/6*k**6 - k**2 + 0*k + 0*k**3. What is the second derivative of n(q) wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 + 62 = 39*n + 156 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 8*x - 91 = 3*o, 3*o = -5*x + 437. Calculate the highest common divisor of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -88. What is the third smallest value in z, -1, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 11:56 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d + 1. Let r be (0 - 1)*(-1 - -2). Let q be f(r). Suppose 2*z + 8 = -4. Is q at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrddrdrjzbd. Give prob of sequence jddr.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 + (-2 + 3 - 3)*(-1 + 5 - 2) - 4 - 6 + 4)*((-z + 5*z - 3*z)*(-2 + 1 + 0) + 19*z - 18 + 18).\nAnswer: -162*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1677*x**5 - 681*x**3 + 27178189*x wrt x.\nAnswer: 33540*x**3 - 4086*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.9 - -0.1. Let i = j + -8.00018. What is i rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 5:30 AM?\nAnswer: 433","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*b - 10 = 0, -12965*r + 12953*r + 12 + 48 = 3*b for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33853, -33921, -33989, -34057?\nAnswer: -34125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/101538 and 31\/44450?\nAnswer: 2256682050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -3, 0, -546.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6733 + -3787. Suppose 0 = -19*i + 13*i + s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (157 + 349 - 1)*(1 - 1 - y) to the form i*y + b and give i.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1582249 and 1393?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - d + 233 = 10*j, -2*j + 2*d = -454. List the prime factors of j.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5076.2751489 - -1.7\nAnswer: 5077.9751489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88 - 0.19?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = r. Let b = -1 + r. Suppose -4*y + 0 + 24 = -4*k, -b*k - 14 = -2*y. Solve u - l = -4*u + 4, y*l + 20 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 17, -101, -1 in increasing order.\nAnswer: -101, -1, 17, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144 + 148. Let d(g) = g**3 + 5*g**2 - 5*g - 4. Let l be d(-3). Let u be (4\/(-3))\/((-20)\/30). Put u, l, w in increasing order.\nAnswer: u, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - n + 6*n + 314 = 0, 3*n = -4*q - 437. Let s = q + 114. What is the highest common divisor of 17 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggkgkkkggkkgkgggkkgk.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -60, 108, 370, 726, 1176, 1720?\nAnswer: 2358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o + 3*o = -0*o - 180. Let v = -3 + -2. Let f be 5\/12 + (-2)\/3. Sort f, o, v in increasing order.\nAnswer: v, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 293 = -4*d + 2*c, -d = -2*c - 70. Calculate the remainder when d is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) 0 (c) 5 (d) 14\/3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p + 17. Determine i(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1928?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 0.09, -0.97?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 3. Let v(x) = -x + 2. Let f(q) = 4*b(q) + 5*v(q). Let u be f(-5). Solve 0 = -2*c - u - 5, c + 16 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 163*h - 164*h + 26. Calculate the greatest common factor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.0052504 to one decimal place.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -158\/5. Let f = 59135 - 59141. What is the nearest to f in r, 2, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2870, 4032 in descending order.\nAnswer: 4032, 2870, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 84.1738905 nanoseconds?\nAnswer: 0.00000000000013917640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/83? (a) 1749 (b) 0.1 (c) 1\/6 (d) -2\/9 (e) 4 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -2\/17, -1.05, 2\/15, 0.05, 0.3?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010392234 rounded to seven dps?\nAnswer: -0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28511793657 - -65.5.\nAnswer: -28511793591.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 48.9?\nAnswer: -52.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (18 + 78 - 21) + -16 + -14\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/1110)\/(2*(-12)\/32). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196\/15, -144, -0.1, 441 in increasing order.\nAnswer: -144, -196\/15, -0.1, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133133 - 158*y**2 + 133133.\nAnswer: -158*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0, 257, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 923406259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(-16)\/18. Let m = -3197 - -3192. What is the closest to -1\/5 in w, m, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 29, 5, -2.5, -25008?\nAnswer: -25008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637)*4 - (-2 + sqrt(13) + 1).\nAnswer: 1 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*k = 13, 3*k = 3*t - 2*t - 5. What is the tens digit of -2 - 5*-2*t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22157\/412 less than -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-700))\/(4\/(-70))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12181.0629484+-0.5\nAnswer: 12180.5629484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 54154.829 - 54148.1390414. Let g = 6.69 - r. What is g rounded to 6 dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - -3) + (0 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.4 or 21?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 12. Determine z(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 plus -8165?\nAnswer: -8220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -59. Which is smaller: -18 or t?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -118986.\nAnswer: 1\/59493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 994 - 503. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1018*w + 33*w**2 - 513*w - 505*w.\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 574080383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2808 by -5.\nAnswer: -2808\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**4\/17 + 293754*v**3\/17 - 25920*v**2 + 2*v\/17 + 8640 = 0.\nAnswer: -73440, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i**3 + 47*i**3 - 909*i**2 + 60*i**3 + 909*i**2.\nAnswer: 134*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -b + 6 + 14, b = -4*h + 24. Suppose -3*k + 5*k = b. Solve -o = -3*z + 8, 22 = k*z + 4*o + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-8) - (-9)\/12. Let x be 21 - (g - (-3 + 2)). Suppose 4*s - 70 = x. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*i - 130*i + 42 + 298 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 - 3?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45631146 divided by -1382762.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o + 101 = 56 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-59543.\nAnswer: 59543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0*i*i*i**(-3)*i*i**(1\/5)\/(i\/(i*i\/i**(2\/7))) assuming i is positive.\nAnswer: i**(32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136538 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 240019 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 4*b - 8, -5*b - 4 = -4*d - 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i + 55\/14*i**7 + 0*i**6 + 24 + 0*i**3 + 0*i**2 - 203\/12*i**4 + 0*i**5. Find the third derivative of a(u) wrt u.\nAnswer: 9900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.16\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/3 in -0.3, 3, -0.027?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 160.4\nAnswer: -80.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103215299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*i = 808 + 84, 3*l + 5*i + 1340 = 0. Let m = l - -1308. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(-2 + j + 2) - 4 + 4 - 2*j + j - j - 11*j as p*j + z and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -698*q**6 - 371*q**2 wrt q.\nAnswer: -83760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117325003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 122*x - 192. Let b(u) = u**2 - 2167. Let w be b(0). What are the prime factors of x\/(-8) + w\/(-44)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*t - 16146, 5*v - 2*t + 937 - 27833 = 0. Calculate the least common multiple of 18 and v.\nAnswer: 48420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-2 + -1)\/(-1). Suppose 16*r - 13*r - 549 = l. Suppose r = 2*o + o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50458209 is divided by 19407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30987.1 + 30987. Let l = -1 - -4. Sort c, 1\/5, l in decreasing order.\nAnswer: l, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + 18 + 3 + -11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3849963876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 5) + 4 + 2 + 8. Suppose -o*x + 36 = -4*w, 4*x + 4*w = 71 - 51. Solve 12*q = x*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*v**4 + 14*v**3 + 94*v**2 + 74*v + 12 = 0. What is v?\nAnswer: -1, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*s + 56 - 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0*h**2 - 1 - 5\/8*h**3 - 5\/168*h**7 - 1\/4*h**6 + 10*h - 25\/24*h**4 - 3\/4*h**5. Find o such that r(o) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7423830 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 9:03 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/513 and -91\/4180266.\nAnswer: 12540798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + -0.99. Let f = -1.2 - j. Let u be (4\/16*-1)\/1. What is the nearest to u in 3, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, f: 12}. Give prob of sequence kkkf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -28, -62, -116, -196, -308, -458, -652?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -97, -171, -253, -337?\n\"Answer: f**3 - 13*f**2 - 28*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 514*u - 131*u - 132*u - 25 - 124*u - 129*u to g*u + o and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1231791111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-0.18009.\nAnswer: 2.52126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 56.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 5*z + 3. Let o = -38 + 35. Determine d(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4) + (-4350)\/(-24). Let c(o) = o**3 + 23*o**2 + 41*o - 7. Let b be c(-21). Calculate the highest common divisor of n and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**6\/54 - j**5\/45 - j**4\/6 - 2*j**3\/27 + 5*j**2\/18 + j\/3 - 30. Let x(g) = 0. Calculate g.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 5, 1\/8 in decreasing order.\nAnswer: 5, 1\/8, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*i**2 - 11*i + 39*i - 16*i + 965*i**2 - 12*i)*(-1 + 31 - 5).\nAnswer: 22125*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 8:41 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1618*f - 9*f**2 + 1141*f + 45*f**2 + 241*f + 236*f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 12*x + 29. Let v be m(7). Sort 2, v, -2\/7.\nAnswer: v, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 18*y**2 - 66*y - 2598. Give b(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114 or -84868?\nAnswer: -84868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 81097622 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 7*a**2 + 12*a + 6. Calculate k(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -24, 3, -37 in ascending order.\nAnswer: -37, -24, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23645 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/166 (b) 1\/3 (c) -4.7 (d) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002232304 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -45. Let b be ((-6)\/h)\/((-2)\/42). Calculate the common denominator of (-4)\/b - 4568\/(-112) and -34\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = -2*t, 8 = 3*t + 2*r - 2. Solve t = -i + 6*i - 15, -p + 6 = 2*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eebeeebibi. Give prob of sequence biei.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-50)*5*200\/60?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o - 67. Let h be l(-18). Put -2, h, -8, 2 in increasing order.\nAnswer: -8, -2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1176 divided by -294.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -9. Let w = -17 - -16.9. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12a795 - -d?\nAnswer: -12a786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*r - 12*r**2 + 24*r**2 + 50*r to the form d*r**2 + l + m*r and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1286.442 and 4?\nAnswer: 1290.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33392*o**3 + 3 + 33384*o**3 - 2.\nAnswer: -8*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 17*q + 11610. Calculate the greatest common factor of q and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -66, -74, -64, -30, 34, 134, 276?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2829*g**2\/5 + 21471*g\/5 + 11676\/5.\nAnswer: 3*(g + 7)*(943*g + 556)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3215994277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0 + 1\/16*s**4 + s - 1\/12*s**3 - 1\/80*s**5 + 0*s**2. Determine p so that l(p) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000040262 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 6406700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p + 8 = 2*r, -r = 2*p. Suppose -3*b + 7 = -r. Solve 3*v - 2 = b*g - g, -4*v - 16 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = -3*k, 2*h - 4 = 3*k - 2*k. Let v(a) be the first derivative of -h + 9\/2*a**2 - a. Determine v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55607519 divided by 196493\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**5\/20 + t**4\/6 + t**2\/2 + 2*t + 35. Let n(w) = 3*w**3 - 5*w**2 - 2. Give 2*n(r) + 5*x(r).\nAnswer: r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-14) - 32632\/(-56) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (10 + -54)) + -12 + 8 + (-1 - 5).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 15*o**3 + o**2 + o - 1. Let m be d(1). Let h = m - -1. Let w(p) = -p**3 + 6*p**2 - 5*p + 6. What is the remainder when h is divided by w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaae when four letters picked without replacement from eaqqaaaaqqqaqeaae.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -f + 5*y, 2*y + y - 608 = -2*f. Let x = -136 + f. Calculate the highest common factor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43206835 or 3\/2?\nAnswer: -43206835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**4\/24 - v**3\/6 + 18*v**2. Give y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 8*t + 1. Let s be r(-7). Let w = s + 13. Let a(y) = 5*y**2 + 8*y - 5. Let c(n) = -4*n**2 - 7*n + 4. Determine w*c(d) + 6*a(d).\nAnswer: 2*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5852 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*-163.\nAnswer: 7824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17016.3 + 19336. What is q rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(sqrt(17) + (sqrt(272) + -1)**2 - sqrt(51)\/(2*sqrt(3))) + 6*(0 + sqrt(153) + (sqrt(17) - (-3*sqrt(272) - sqrt(272)))**2).\nAnswer: 111*sqrt(17)\/2 + 28115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 11:26 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 9*b = 27*b + 264 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxgblbblbbcclccgll. Give prob of sequence cc.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -467196 at least as big as -467195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-113)\/(-5) - 22 - (-5)\/(-1))*(-9 - -4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*u + 538 + 2755 - 486 = -2023 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48.019 + 48. Let b = d - -0.02015. Round b to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*b**2 - 2*b - 210?\nAnswer: 60*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 4 - 4)*(-4 - n + 4) + (-2*n**2 + 2*n**2 + 3*n**2)*((0*n - 5*n + 4*n)*(1 - 1 + 1) - 17*n + 26*n + 34*n).\nAnswer: 128*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5133 - 3133. Round p to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfah when four letters picked without replacement from fffhshafsbh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = -3*f. Let j = 2 + 0. What is the lowest common multiple of 5*1\/(f\/(-8)) and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.54922kg to grams.\nAnswer: 29549.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + q**3 - 2*q**3 + (-426*q**3 + 1056*q**3 - 57*q**3)*(3 - 3 + 1).\nAnswer: 571*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 5*d - 5 + 7*d**2 - 2*d**3 - d**3. Suppose 5*g + 30 = 10*g. Calculate y(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**7*k)\/k**(14\/9))**(-29) assuming k is positive.\nAnswer: k**(-1943\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1719, -1716, -1707, -1692, -1671, -1644?\nAnswer: -1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/9)*o**(-3))\/(o**1*o\/o**7)*(o**2)**(-14)\/(o*o*((o**(-1)*o)\/o)\/o)**1 assuming o is positive.\nAnswer: o**(-233\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2882*r - 1603 + 544 + 2894*r + 548 + 511.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 0.5, -1\/4, -84\/13, 4\/9 in decreasing order.\nAnswer: 2, 0.5, 4\/9, -1\/4, -3, -84\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + g + 4. Let r be 1\/(-2) + (-33)\/(-6). Suppose 4*v = -8, d - 5*v + 2 = r*d. What is the remainder when l(d) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*s = 1910 - 4715. Suppose 2*k + 1 = 5. Suppose 5*l - 28 = o, k*l = -6*o + 3*o + 1. What is the highest common factor of l and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285b (base 12) in base 8?\nAnswer: 61507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**6\/600 + c**5\/150 - 3*c**2 - 10. Let h(w) = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2*p**3 - 15*b**2 + 2*p**3 - 2254 wrt b.\nAnswer: -6*b*p**3 - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**8\/168 + 68*s**7\/735 + 169*s**6\/420 + 12*s**5\/35 - 3*s**4\/7 + 1585*s**2. Determine p, given that y(p) = 0.\nAnswer: -6, -3, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140240224230 - 1?\nAnswer: -140240224231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -156, -103, -52, -3, 44, 89?\n\"Answer: -t**2 + 56*t - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*j = -0*j, 3*k = 5*j - 2. Solve 2*f = -f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-12)*-5*2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2 - 18*z + 1. Let v be a(-5). Which is greater: v or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001435 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 16 = 2*a, -4*z + z + 1 = -a. Let j be -1 - z*(-1 + 0). Let b be j + (-1 - 92000\/(-2)). What is b rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*c - 4959 + 2964 = 8169 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100100101011100110 (base 2) in base 15?\nAnswer: 240840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0165303486 to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 7) to base 12\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2338350 divided by 1050.\nAnswer: -2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 24 = 3*n, -3*n + 3 = i. What is the remainder when 33 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 2*z**2 + 15*z - 18. Is 4 a factor of k(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 356 + -376 - (3 + (-477)\/21). Let i = -11 - -4. What is the closest to i in -1\/8, d, -18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -1 + (2 - 3). Let g(h) = 1 + 1 - 4*h + h**s + 1. Determine g(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -72084?\nAnswer: -72081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-12)\/v)\/(v\/v**(-10)))\/(v**9*v\/(v*v**2*v)*v))**(-6) assuming v is positive.\nAnswer: v**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 5, -0.5, 9626, -0.3, -2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-3) + (-3)\/(-3) + 5. Suppose 3*z = f + u*z - 5, 5*f = z + 13. Solve 0 = -f*a + w + 8, 0*a - 3*w = -a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -259*s + 257*s + 5*l, l - 6*l = 11*s - 111 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59046, -114971, -170896, -226821?\nAnswer: -282746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 2:11 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31561 plus -3381?\nAnswer: -3381.31561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 9:27 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = 30. Let o(c) = c + 3. Let d(k) be the first derivative of 4 - 5*k - k**2 - 5*k + 5*k - 1. Calculate t*d(x) - 10*o(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - -3) + 3 - 2) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4, -3, 95 in decreasing order.\nAnswer: 95, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 248\/(-18) + 4\/(-18). Let d(a) = 11791*a + 70731. Let v be d(-6). Is v at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 3)*1*(-6)\/12. Suppose 0 = 3*p - w - 38. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 13141*w - 78855\/2.\nAnswer: (w - 3)*(w + 26285)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -94\/19, -0.3, -5.18?\nAnswer: -5.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-192)\/14)\/((-10)\/70) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - 3) + 20 - 4 - (-104)\/(-18). What is the third smallest value in n, -3, 14.2?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -593*n**2 + 3*n - 4 - 10*n + 592*n**2. Calculate the remainder when 19 is divided by u(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180793, -180789, -180765, -180715, -180633, -180513?\nAnswer: -180349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1993*m + 11861. Let c be v(6). Is 4\/3 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 3 + 1 + 0 + 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((0\/6)\/(-2))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 14 = 16. Let t be 3\/(-6)*m\/(-9). Let a = -21\/55 + 1\/5. Put a, t, -5 in increasing order.\nAnswer: -5, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 a factor of 762614602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 1. Let u(l) = -6*l + 4. Let r(g) = g - 11. Let x be r(8). Give x*u(h) + 10*z(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -20*t + 10. Let u(f) = -22*f + 6. Determine 4*l(v) - 3*u(v).\nAnswer: -14*v + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*a + 6 = s, -3*a - 15 = -5*s. Suppose 3*d - 4*d + 6 = -f, 4*d = 16. Let b = 4 - f. What is the greatest common divisor of s and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f + 1. Let p(u) = -2*u**3 + 71*u**2 + 4*u + 5. What is -p(k) + 5*r(k)?\nAnswer: 2*k**3 - 66*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006354961 to 7 dps.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 15 = 5*f. Suppose -2*c + 264 = 2*v, -2*v + 849 = f*c + 183. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 48*t**2 + 61*t - 23. Let d be 23 - (-4 - (2 + -6 - -1)). What are the prime factors of v(d)?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 7)*(2*j**3 - 3*j**3 + 0*j**3).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 14.157\nAnswer: -2.8314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 569232 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -337273 (base 9) to base 4\nAnswer: -301112301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 118*m**5\/3 - 647*m**3\/3 - 1313*m**2. What is the derivative of z(x) wrt x?\nAnswer: 4720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j + j + 127 + j - 168 in the form a*j + r and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20720546?\nAnswer: 2, 7, 11, 157, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(4))\/sqrt(3)*-1)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.24 and 229850.\nAnswer: -514864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/94436085?\nAnswer: -7\/94436085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1 (c) 1\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 24*f**2 + 25*f + 50. What is p(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 + -178. Let s(c) = -c**2 + 4*c - 4. Let z(l) = -l**2 - 9*l + 13. Let w be z(-10). Let b be s(w). Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 449622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 + 1.4. Let p = 43 - 42.9. Let t = p - h. Which is the nearest to t? (a) 2\/3 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/78 and (-3825)\/2808 - ((-118)\/78 + (-2)\/13)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -186b1 + -2?\nAnswer: -186b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5)*l*l*l)\/l*l*l**(-2\/13)*l)**(-7)\/((l\/(l**(-2)*l))\/l**3)**(-15\/11) assuming l is positive.\nAnswer: l**(-19224\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16956078 to the power of 1\/2, to the nearest integer?\nAnswer: 4118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*x + 5*l + 8, 0 = -5*x - 3*l + 115. Let c be 8\/x - (-13)\/5. Let j = c - -17. Calculate the highest common factor of 140 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/((-76)\/57).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11878 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - 3*l - 7. Let h(x) = 2*x**2 - x - 3. Let p(k) = -k - 13. Let q be p(-6). Let c(s) = q*h(s) + 3*z(s). What is g in c(g) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64*g**2 - 9*g**2 + 14*g**2)*(-4*g + g + g)*(1 + 1 + 0) to the form l*g + q*g**3 + x + r*g**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -125*g + 120*g + 7 - 3. Let z = -8 - 9. Let n(r) = -15*r + 12. Let t(h) = z*d(h) + 6*n(h). What is t(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2397 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56172, 112053, 167644, 222939, 277932, 332617, 386988, 441039?\nAnswer: 494764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380531 and 1358?\nAnswer: 5327434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -284, -299, -292, -257, -188, -79?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52*g**2 - 48*g**2 + 77*g**2)*(-2*g + 5*g - g) + (3*g + 0*g - 2*g)*(-2*g**2 - 2*g**2 + 3*g**2) in the form m*g + h + i*g**2 + n*g**3 and give n.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199\/3 + 65. What is the third biggest value in -0.07, 3\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -64*l - 14. Let u(c) = -21*c - 5. Determine 14*u(h) - 5*z(h).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 211*c**2 - 19*c + 37. Does 12 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257 or 1737?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**3\/3 + i. Let l(t) = 422685*t - 211347*t - 211338*t - 2 - 79*t**2. Calculate l(v(c)).\nAnswer: -316*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 14. Which is smaller: -9 or b?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196201355?\nAnswer: 5, 7, 5605753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 63*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -237.\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3.6. Let z = -5.3 - -5. Let f = b - z. What is the closest to 0 in 2, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*l + 19163 + 24102 = -368*l + 14423 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.48342 - 787.52342. Let o = g + 754. Let f = o - -33. Which is the smallest value? (a) 4\/3 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78344, 78349, 78348, 78341?\nAnswer: 78328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -455 + 617. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16329, -32660, -48991?\nAnswer: -65322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5106 is divided by 121?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2\/(5\/((-710)\/(-4)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 20. Suppose 16*a - 11*a = o. Suppose -3*u + 36 = -a*u. Solve 0*r - 3*r - u = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2792 is divided by 187?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 22*g - 17*g + 24 = 0, 2*s - 4 = -g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.026 - -0.274. Which is the closest to y? (a) 0 (b) -5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - d + 10. Let b(j) = -j**2 + 11. Let w(k) = -3*b(k) + 4*n(k). What is w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39496 + 39316 = -10*m + 6*h, 7*m - 2*h = 2*m + 90 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q - 12. Let s(z) = 5*z**2 + 4*z + 2. Let g(y) = 7*y**2 + 6*y + 3. Let x(l) = -2*g(l) + 3*s(l). Determine b(x(p)).\nAnswer: 5*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2209\nAnswer: 5\/2209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -37*d + 43*d. Let b be (8\/4)\/((-4)\/d). Let s(l) = 2*l**2 + 3*l + 17. What is the tens digit of s(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4129 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 397651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/17)\/q)**(15\/4)\/(q**(-19))**(1\/16) assuming q is positive.\nAnswer: q**(203\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 506295 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226606*g - 91702*g + 234607*g.\nAnswer: 369511*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2569*i - 3.\nAnswer: 2569*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 66, -4, -3 in decreasing order.\nAnswer: 66, 2\/11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:38 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2*v**2 + 5*v**2)*(-5*v**2 + 4*v**2 - 6*v**2)*(2*v + 2*v + 23*v).\nAnswer: -189*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42978?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1442410 - 1?\nAnswer: -1442411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9) + (-25)\/3. Let t(g) = g**2 + 9*g + 8. Let r be t(i). Let u = r - -3. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/15)\/((-1)\/(18\/(-21))). Is d at most as big as 0.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9951 and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2593, 2215, 1581, 691, -455, -1857?\n\"Answer: -128*a**2 + 6*a + 2715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/79 + -513\/316. Suppose -19 = 35*r + 16. Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 217*v**2 + 5 - 6*v + 6*v + 4 in the form s*v + j + d*v**2 and give d.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 18*f**2 + f. Suppose -11 = 3*n - 14. Determine p(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 34*w**2 + 3*w - 3. Let i(a) = -a**2 + a - 1. What is 3*i(y) - r(y)?\nAnswer: -37*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*u + 2570*u**2 + u**3 - 6416 + 7*u - 2534*u**2 wrt u?\nAnswer: 3*u**2 + 72*u - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/10 and 149\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:01 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 - (5 + 8 - 19) - (23 + -3).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696352062.\nAnswer: 2, 661, 1283171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.061 - 6.099. Let i = 6.3 + d. What is the second biggest value in i, 3, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11021 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17*q**3 - 23*q**2 - 4*q + 4. Let v(y) = y**3 - y**2 + y - 1. Let z(f) = -d(f) - 4*v(f). Find the third derivative of z(w) wrt w.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2896)\/(-6))\/(102\/153). Suppose -182*f = -184*f + c. List the prime factors of f.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -22936, 5 in decreasing order.\nAnswer: 6, 5, -22936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 6:50 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -20*n**3 - 6*n**2 - 11*n + 2. Let d be m(-4). Which is smaller: d or 1228?\nAnswer: 1228","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 829, 3, 0, -25, 0.4, 2, 1.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -185, -179, -169, -155?\n\"Answer: 2*a**2 - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188984 - 363514. Round k to the nearest one thousand.\nAnswer: -175000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1*3\/(-9). Let s = -3 + 5. Let n be (s\/(-6))\/((-4)\/(-6)). What is the closest to n in -1\/4, i, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 74*v**3 + 79*v**3 - 4*v - 2*v.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.92 - 56.9.\nAnswer: -59.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 y when three letters picked without replacement from {y: 5, k: 2, s: 2}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 12*k + 6. Let j be u(6). Suppose -j*r - 4*o = -5*r, 3*r = 2*o + 14. Solve 0*l = -r*l - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.47 and -8201522429.9.\nAnswer: -8201522423.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**4 - i**4 - 2*i**4)*(-3*i - 2*i + 4*i) + (-2 + 13*i - 6*i - 16*i)*(i**3 - i**3 - 5*i**4).\nAnswer: 44*i**5 + 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 o when four letters picked without replacement from {t: 3, o: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a (base 13) to base 10.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/479 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 654574 = 65*o - 4006. Is 10131 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2337*b**4 - 156*b**3 - 1627376 wrt b?\nAnswer: -9348*b**3 - 468*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3 - 7. Suppose 9 = a*w + 5. Suppose 4*y - 24 = -2*x - w*x, -2*x - 4 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*k**3 - 33387985133 - 2*k**2 + 33387985133.\nAnswer: -46*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552291371 to the nearest integer?\nAnswer: 23501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15080 - -15162. Solve 0 = 11*d + h - 159 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/26 (b) -0.3 (c) -3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + z - 1. What is the smallest common multiple of o(1) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*c*t**3 + 49*c*t**2 - 8*c*t - 62*t wrt t.\nAnswer: -84*c*t + 98*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 9*a**2 + 10*a - 2. Let s be n(-7). Suppose 22*c - s*c + 20 = 0. Suppose -c*v = -8*w + 4*w - 111, 18 = v - 5*w. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110210200000111 (base 3) to base 16\nAnswer: 67d13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + r. Let q(a) = 5*a**2 + 6*a - 22. Let l(g) = -q(g) + 6*t(g). Differentiate l(s) wrt s.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f (base 16) in base 5?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/87 and -14\/34863.\nAnswer: 1011027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 - (-25 - (-13 + -16)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26168.9 - 26169. What is the closest to h in 2\/5, 0.03, -1, -9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10*t**3 - 6*t**2 + 4*t + 3. Let u(f) = 10*f**3 + 4*f**2 - 3*f - 2. What is -4*n(g) - 6*u(g)?\nAnswer: -20*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5168.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -422201 - 205?\nAnswer: -422406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 78*y - 97. Let n be i(6). Let s = 7058\/19 - n. Let t = 1374 - 5529\/4. Calculate the common denominator of s and t.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00213454 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 9*i - 10, -5*u - 5*i = -10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*b + 11*b + 12*b**5 - b**5 + 2*b**2 - 2*b**2 + (2*b**3 - 3*b + 3*b)*(3*b**2 - b**2 - b**2) + b**5 + 1 - 1 - 3 + 1 - 11*b**5 - 28*b + 9*b**5.\nAnswer: 12*b**5 - 28*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-6)\/256)*46\/184. Suppose -j - 7 = 5*o, j + 4*o = 2*j - 20. Suppose 0 = -4*q + 2*q + j. Solve 3*p = -q*r - t, 4*r = 4*p - 4 - 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/17 - 53180*v**2 - 2712166*v\/17 - 1808108\/17 = 0.\nAnswer: -452027, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184547 is divided by 20504?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from bbibibbbbibibi?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) 1\/4 (c) 2\/3 (d) 0.95 (e) 1.28 (f) -4 (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/27)\/2)\/(18\/(-54))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2803 equal to -2835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 847 + 873 - g + 25*g**2 - 26*g**2. Let w = 23 - 23. Let j be t(w). What is j rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-285)\/(-114)*(-9)\/15)\/((-4)\/(-24))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-6 - ((10 - 18) + -10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8310105 divided by 5\nAnswer: -1662021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2*s - 2, u + u = 5*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231958 and 283684634.\nAnswer: 283684634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-6)\/(4*(sqrt(3) + sqrt(9)\/sqrt(3))).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.46 - -0.38. What is the third biggest value in x, 0.1, 0.3, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1677317*z**4 + 8*z**2 + 296*z - 38 wrt z.\nAnswer: -40255608*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.04\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.33823ml to litres.\nAnswer: 0.08333823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mhmhmmhmmm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -73.00228. What is s rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l + 4. Let j(f) = 8534*f - 5. Give j(q(s)).\nAnswer: -34136*s + 34131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5391982\/26212725 + -2\/149787. Let s = 2\/25 - p. Let o = 34230 + -171147\/5. Sort o, 0.5, s.\nAnswer: s, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 70.3. Let g = q + -4. Let r = 4 - 4.1. What is the closest to 0 in g, 2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/47)*y**(-2\/5) assuming y is positive.\nAnswer: y**(-84\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c. Suppose -5*u + 316 - 111 = c. Let t = u + -14. What is the highest common divisor of 27 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57.071 + -0.529. Let o = 58 + n. Let a = -3 + -1. What is the second biggest value in o, 7, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 101 (c) 0.092\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7.68 times -348\nAnswer: 2672.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4506287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -3\/2*a**2 - 8\/3*a**3 + 7*a + 0. Let q be l(-3). Calculate the greatest common divisor of 30 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*-2 + sqrt(13) + (sqrt(13) - (sqrt(52)*1)\/sqrt(4)) + (sqrt(91) - -5*(4*sqrt(91) + sqrt(91)))\/sqrt(7))**2 + 5.\nAnswer: 8130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t = -230*t - 8116 + 5272 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-117)\/182*(-12)\/945.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 158 and 2?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/12)\/(-10))\/(1\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2919 and 952.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 4*o**2 - 3. Let f be v(-3). Suppose 3*q = q + f. Suppose -2*u - 2*u + q*c + 27 = 0, 3*c = 9. Calculate the least common multiple of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 6*a - 12*a. Determine c so that -c**5 - a*c**4 - 6*c**3 + 14*c + 6*c**2 + 6*c - 2*c**5 - 11*c + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4 + 61 = 0. Let v = -9 - m. Let g(h) = 2*h - 1. Let n be g(5). Solve v*q = x + 1, -2*x = q + 2 + n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ningiiinininnniniii. Give prob of sequence nii.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38e331 (base 16) to base 13.\nAnswer: a06c2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z + 7*z - 14 - z. Let v(p) = -p**3 + 5*p**2 + 14*p + 6. Let w be v(7). Calculate j(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 71 = -24*j. Let i(v) = -34*v**2 - 20*v**2 + 56*v**j. Let l(r) = 5*r**2. Give l(i(p)).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 61*r + 64*r - 2*r + 44. Let d = 44 - 35. Is n(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psp when three letters picked without replacement from {s: 1, p: 2, u: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2685080145?\nAnswer: 3, 5, 11, 23, 131, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*x + 3*x - 44, -3*x + 3*p + 36 = 0. What is the greatest common factor of 72 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -597 + 1306. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 86922.35ug?\nAnswer: 86922350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4431219 and 4.\nAnswer: 17724876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*9*2\/585.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1007 and -2534.657.\nAnswer: -3541.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 5*d - 2. Let z be q(-5). Let f = -2119 - -2118.4. What is the third biggest value in -0.3, z, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7228680227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 9. Suppose -2*x = -i*x - 88. Let j = -24 - x. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 58*y + 27. Let l(k) = 4*k + 69. Let p be l(-16). Does 5 divide g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348392 and 7252?\nAnswer: 17071208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, -365961, 2\/9, -5\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/49087155 and 44\/147?\nAnswer: 2405270595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 205?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.1. What is the biggest value in -4, m, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = a - 3*d, 0*a = a - 2*d - 14. Let c be 0\/(-8) + a*1250. What is c rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 1. Let o be c(-3). Let y = o + 9. What is the common denominator of (y\/20)\/((-3)\/(-52)) and 61\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 19*c - 38. Let w be q(21). Suppose 0 = -h + p + 82, -p + 0*p = w. Let s(r) = -15*r + 1. Calculate the remainder when h is divided by s(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 2*n**7\/35 + n**4\/4 + 16*n**2. What is the second derivative of x(g) wrt g?\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -31 - c**4 - 1\/2*c**2 + 1\/3*c**3 + c. What is b(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 3)*(0 + 1 - 2) + 0 + 4 - 1)*(0 + 2 - 4)*(131*r - 1296*r - 7404*r - 5147*r).\nAnswer: 27432*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 8:59 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 745578154 to the power of 1\/2, to the nearest integer?\nAnswer: 27305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 51.7. What is the nearest to 0.1 in -2\/11, y, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 j, and 1 a when three letters picked without replacement from agjjgaajjjjajjt?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 + 5*b - 5. Let m(j) = -5*j**2 + 6*j - 6. Let i(a) = -5*m(a) + 6*z(a). Let c(x) = -28 - x + 28. Calculate c(i(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24140863 is divided by 160?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18935*o**4 - 6411*o.\nAnswer: -227220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/4 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46403, 46507, 46709, 47057, 47599, 48383, 49457, 50869?\n\"Answer: 8*a**3 + a**2 + 45*a + 46349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*m**3 + 88*m**2 + 112*m + 32.\nAnswer: 4*(m + 2)**2*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) 0 (c) 1 (d) -2933 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, p: 1, j: 2}. What is prob of sequence pjdd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 4, -10, -30, -56?\n\"Answer: -3*y**2 + y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430230 (base 10) in base 9?\nAnswer: -2618814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*t - 1867 = 4412 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 1546*x**2 + 3*x - 4*x + 1544*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4749, 3924, 3029, 2058, 1005, -136, -1371, -2706?\n\"Answer: -u**3 - 29*u**2 - 731*u + 5510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**4 + 5*z**3\/3 + z - 41. Let x = -4 + 2. Let q(h) = -3*h**3 + 4*h**2. Determine x*w(s) + 3*q(s).\nAnswer: -s**3 + 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4050 (base 9) to base 2.\nAnswer: -101110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.093 times -3.5\nAnswer: 0.3255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153807 + 1385998\/9. Let t = g + -193. What is the closest to t in -3, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*2240.9\nAnswer: -896.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 981, 0.2, -0.3, 1, 1\/4, 9\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 - 5168?\nAnswer: -5140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-7)*(b\/(b*b**(-1\/21)))\/b assuming b is positive.\nAnswer: b**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:50 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/11))**(-2\/11))**15)**1 assuming j is positive.\nAnswer: j**(60\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**3\/11 + 41016*l**2\/11 - 16408*l\/11.\nAnswer: 2*l*(l + 4102)*(5*l - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 53890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*u = 9, 4*a + 0 = 2*u - 10. Find the common denominator of -33\/68 and 2780\/(-120) - ((-2)\/a + -1).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002252 to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21309 + 10*m - 7*m**3 - 21309.\nAnswer: -7*m**3 + 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81 - 0?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 2*v**2 - 1. Let c(b) = b**2 + 8*b + 10. Let p be c(-7). Let h be d(p). Does 19 divide 6\/(-15) + (-594)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-14)\/168*3\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1098, 1065, 1032, 999, 966, 933?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 15*d + 3*f = -4, 4*d - 4*f - 16 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 5*o = 14*k + 13392, -17856 = -4*k - o. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 348 + 5?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:12 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*l + 3*o + 28, 2*o - 14 = -2*l. Suppose 3*n + 4*w + 978004 = -0*n, -2*n + l*w - 651995 = 0. What is n rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7565*o + 7565*o - 22699*o - 30758*o**2 + 7569*o to the form f*o + t + d*o**2 and give d.\nAnswer: -30758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 119*k**3 + 3695*k**2 + 20377*k.\nAnswer: k*(k + 7)*(k + 41)*(k + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 45, 1\/6, -8, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -519959876 and -65.415.\nAnswer: -519959941.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -4. Suppose -4*r + c = 20, -3*r - 97 = -5*v. Suppose -1 = -3*t + v. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-two fifths of a kilogram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -16*b**2 - 3*b. Let q(x) = 20*x**2 - 48*x - 32. Let j(a) = a**2 - 3*a - 2. Let v(r) = -80*j(r) + 5*q(r). Calculate y(v(o)).\nAnswer: -6400*o**4 - 60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 84249.\nAnswer: 50549.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*(-2)\/12*(-9)\/2. Let p(s) = s**2 + 4*s - 2. Let r be p(v). Calculate the greatest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 2\/215, 2\/15, 0.085 in decreasing order.\nAnswer: 4, 1, 2\/15, 0.085, 2\/215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190555?\nAnswer: 5, 23, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 7. Let d be g(3). Solve 2*m = -3*x - 2*x + 12, -d*m = -5*x + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16260486 and 0.3.\nAnswer: 4878145.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 2461274?\nAnswer: 2461271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -92, 216 in descending order.\nAnswer: 216, -4, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 3. Let i(t) = 2*t**2 - 3*t - 3. What is the remainder when i(x) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 107319 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6319, -21, 2, 5 in increasing order.\nAnswer: -6319, -21, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 179*d**3 - 10*d**2 - 13*d - 604. Let r(q) = -90*q**3 + 4*q**2 + 6*q + 301. Let g(v) = -5*r(v) - 2*y(v). What is the derivative of g(l) wrt l?\nAnswer: 276*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 6*o + 6. What is the closest to o in 4\/7, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000316 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.1 (b) 0.2 (c) 22 (d) 483 (e) -0.3 (f) 24 (g) -2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/(sqrt(15)\/sqrt(3)) + 3)*2 - (sqrt(210)\/sqrt(150))\/(sqrt(60)\/sqrt(3))) + 0.\nAnswer: 19*sqrt(7)\/10 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*((1 + -5 + (sqrt(242) - (sqrt(242)*2 + 4)))**2 + -2).\nAnswer: -1822 - 1056*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + p + 3*p)*(124*p - 50*p - 35*p)*(5 - 1 - 3) to l*p + a*p**2 + c and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 - 17053 = -7*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l*y**3 + 35*l*y**2 + 25*l + 506*y**3 + y**2 wrt y?\nAnswer: 6*l + 3036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -125*w**3 + 42*w**2 + 1869*w + 264605774 wrt w?\nAnswer: -375*w**2 + 84*w + 1869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9800 and -17.4.\nAnswer: -170520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -225 - -236. Let i(q) = q**3 - 12*q**2 + 12*q. Let y be i(v). Solve -15*o + y*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - -4.1. Which is the nearest to n? (a) -3 (b) 0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 4\/(-4))\/(-2). Suppose 22 - 62 = -z*g. Calculate the lowest common multiple of 16 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 - 160.8. Let v = z - 0.2. Is -2 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((2 - (2 - -4)) + 7809\/1918)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 4*p**3\/3 - 3*p**2\/2 - 5*p. List the prime factors of y(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 3. Let k be q(0). Let o = -3 + k. Suppose o = -5*m - 6 + 16. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = a - 8, 138*t - 140*t + 20 = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425473*i + 3 + 1634320*i - 3.\nAnswer: 1208847*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12331, -12528, -12725, -12922?\nAnswer: -13119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h - 756*h + 5*h - 183*h to the form s + b*h and give b.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3, -1\/6, -2\/5, 8434, -2 in descending order.\nAnswer: 8434, 3, 1\/4, -1\/6, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0 + v)*(-1 - 6 - 1).\nAnswer: -8*v - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585 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: In base 14, what is 20 - 1b4?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-6 - (2 + 3 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-172 - 2)*4\/(-12). Suppose -3*g = 2*s - 22, 0 = -2*g - 3*g + 2*s + t. Suppose 5*w - 10 - g = 0. Sort w, -3, -5.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/((-2)\/12*47\/((-1598)\/153))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9139*h**2 + 511 - 1024 - 1410*h**2 + 513.\nAnswer: 7729*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/329, 0, -45, 0.024 in descending order.\nAnswer: 0.024, 2\/329, 0, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-18)\/(-24)*(-14)\/42)\/(5\/185)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 13. Let s be 6\/8*m\/(-28). Which is the nearest to 0? (a) 1\/2 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -81.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -55*f - 327. Let c be d(-6). Solve -3*j - 4 = -4*a, -c*j - 5*a + 5 = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290 and 7245998?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1017532870*j**2 + 753775357 wrt j?\nAnswer: -2035065740*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(325) - (sqrt(325) + sqrt(325) + 0))**2 + (sqrt(468)*2*-3 - sqrt(468))**2.\nAnswer: 23259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7 = 0, 27*j - 4*w = 26*j + 53. Solve 29*s = j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2065 divide 65332385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v*v*v\/(v\/(v*v**(-1\/3))))*v**(-2\/15)*(v*v**(3\/10))\/(((v*v**(1\/5)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 - 29 - 13)*((3*i - 2*i + i)*(2*i + 0*i - i) - 1 + i**2 + 1) in the form a*i + o + q*i**2 and give q.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*u - 22*u + 206. Let a = 333 - u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/(sqrt(5)*2))\/(sqrt(704)*-2 + sqrt(704) - sqrt(11)) - -3*(sqrt(20) - (sqrt(2420) + -2)**2)*3.\nAnswer: -21816 + 14579*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 - 93. Let i = 9\/10 + -2\/5. What is the nearest to i in -2\/5, 1\/3, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from xxrxtrexxtxtetxete.\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*p + 60 + 145 + 61 + 166 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - 5)\/((-2)\/(-346)).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 566890 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -17*o. Let s = 41 + 99. Let u = 161 + -21. Let v(h) = -s + u - h. Calculate v(r(k)).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -5. Suppose 149 = y - 5*z + j, 162 = 2*y + 5*z. Is 27 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*r + 4 = 0. Let x(d) = d**3 + 4*d + 1 + 0*d**3 + d - 5*d**2. What is the units digit of x(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35305 - 9323129674\nAnswer: -9323094369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-45)\/(-54)*(-20)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.01317.\nAnswer: -0.02634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146877 = 55*m - 147207 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 - 220.36. Let p = v + -1.63999827. Round p to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 13, 21, 31, 43, 57, 73?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 21756a?\nAnswer: 21756a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -119820920*y + 30958271?\nAnswer: -119820920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, w: 11}. What is prob of sequence ww?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106071015.\nAnswer: 3, 5, 19, 372179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19938 divided by 3323\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/85, -52\/15, 18, -0.3, 0.1 in ascending order.\nAnswer: -52\/15, -0.3, -2\/85, 0.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 3:26 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 7*o**2 - 8*o - 7. Let x be p(5). Solve 0 = x*l - 2*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**3\/3 + 5*h + 5. Let y(x) be the first derivative of s(x). Let o(d) = -2*d. Calculate y(o(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (0 - -2) - 2. Let i(p) = -1 - d*p + 3*p - 2*p. What is the remainder when i(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2303 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -eeda?\nAnswer: -eed9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/((6\/1)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1849857.984 - -0.193?\nAnswer: -1849857.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 159 + 99. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 4*c**3 - 7*c**3 + 7*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85312.79 micrometers to centimeters.\nAnswer: 8.531279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c - 46*c = -6936. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/16*2*70. Let l = 57 + x. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5.45, 2, 2\/17 in increasing order.\nAnswer: -5.45, -0.4, 2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/7)*t*t\/(t**(-7)*t)*t*t**(-7\/3)\/t**1 assuming t is positive.\nAnswer: t**(125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*z + 14 + 19, -2*z + 4*v = 6. Let n be 1 - ((-2)\/1)\/(-4). Let c(s) = -s**3 + 5*s**2 + 2*s. Let h be c(5). Put h, n, z in decreasing order.\nAnswer: h, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -12912\/7405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 4. Suppose -o + 24 + 0 = 0. Let p = o - 22. Let z(t) = 4*t + 9. Calculate p*z(u) - 5*r(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32415 + -4161?\nAnswer: 27244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 z when three letters picked without replacement from zzdzdznetdfdet?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2 + 7. Let w be g\/(-4) - (-105)\/12. What is the remainder when 8 is divided by (6\/w)\/(4\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/7 and 13452\/(-1428) + (3 - -6).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2*31\/((-279)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/94 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*j + 14 = 0, -3*j = 3*z + 2*j + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2035 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517508 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29653967.\nAnswer: 7, 17, 97, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -9. Let a be y*(-4)\/6 - 2. Factor 0*c**2 - 14*c**4 + 3*c**a - 6*c**3 + 17*c**4.\nAnswer: 3*c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 - 77. Solve q = 4*o + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r + 20*r + 32 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4 - b**3 + 1464*b**2 + 2*b - 375175.\nAnswer: 4*b**3 - 3*b**2 + 2928*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97695539 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2557854 or 2557855?\nAnswer: 2557855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + 3*(sqrt(170) + sqrt(170) + sqrt(170)*-1 + sqrt(170) + sqrt(170)))\/(sqrt(30)\/(sqrt(3)*-2)).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-52)\/12 + 4)*-6. Solve s = -5*f + 6*f + 2, 9 = 3*f + c*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 19*o - 10 = 24*o, -25 = -v - 15*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-3 + 3*a - 2*a - 3) + 269*a + 146*a + 75*a.\nAnswer: 491*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 4*b - 2. Let j be g(5). Solve -j + 15 = -3*y + 3*w, -1 = 4*y - w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -11\/2856*a**8 + 1\/357*a**7 + 1\/170*a**6 + 0*a**3 + 0 + 0*a**5 + 0*a**4 + 242*a**2 + 0*a. Find p such that u(p) = 0.\nAnswer: -6\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*(sqrt(28) - 2*sqrt(112)\/sqrt(4)))\/(2*(1*-2*sqrt(196) - sqrt(196))).\nAnswer: sqrt(7)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 5*l - 1. Let a(z) = -41*z**4 - 3*z**2 - 13*z + 37. Let x(b) = a(b) - 3*g(b). What is the first derivative of x(w) wrt w?\nAnswer: -164*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 1 - 1 + (5*c + 2*c - 5*c)*(c**3 + 5 - 5))*(-2 + 0 + 1)*(-4*c + 5*c - 7*c).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbdeedeseldeellde. Give prob of picking 1 l and 1 b.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2873, 4230, 2545, -3712, -16071, -36062, -65215, -105060?\nAnswer: -157127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 749035 to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4976286)\/(-109) - (11 + 0)?\nAnswer: 13, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 170.083364159 - 0.082986159. Let a = 170 - w. What is a rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774.7453 years in centuries?\nAnswer: 7.747453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0.3, -5833, -12 in decreasing order.\nAnswer: 0.3, -1, -5, -12, -5833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 412242 (base 5) in base 4?\nAnswer: 3102013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k. Let o be s(-2). What is the common denominator of 3033\/(-135) + o\/15 and 1\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443054712 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-21)*(-78 + 1). Suppose 2*g - 218 = -n. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 7. What is the first derivative of -4*q**2 + 5*q**2 - 2 + 0*q**i wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 154722787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 77 = 2*l. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-1 - (2 + -3)). Suppose v*p = -3*p + 192. Suppose i = -5*m + p, 0 = 2*m - m + 2*i - 11. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/1739*407\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160705807 is divided by 86868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-433 + 219 + 216 + 3*c)*(-115 - 25 + 36) to the form i + q*c and give i.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j - 260. Let c be a(-33). Sort c, -2, 0, -5 in increasing order.\nAnswer: -5, -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y - 22 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**6\/120 - j**5\/30 - j**4\/24 + j**3\/3 - 5*j**2 - 28. Let m(k) be the second derivative of o(k). Determine m(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4*l + 2*l)*(8 + 0 + 2) + (-1 - 2 + 4)*(-7*l - 8*l + 20*l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 40553.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s**2 + 0*s**2 + 4*s**2)*(-4 + 1 + 2 + (3 + 1 - 6)*(-4 + 0 + 3))*(-43*s + 251*s - 113*s) to b*s + d*s**3 + k + g*s**2 and give d.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) 3 (c) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145*b*u**3 - 73*u**3 - u wrt b.\nAnswer: -145*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*2 + 1. Suppose 0 = u - 5, 5*u - 19 = -3*r + 3*u. Suppose 5*y - 53 = -2*k - 20, -s*y = r*k - 32. Solve 2*f = b - 0*b - 10, -y = f - 3*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -241, -264, -295, -334, -381, -436?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339475 is divided by 915?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 3*q**3 + 33 + 24 + 22 + 20 - 74.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 141\/45 - 6\/45. Factor 1999*r - 1989*r + 2*r**2 - 75 + h*r**2.\nAnswer: 5*(r - 3)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(132) - (sqrt(132) - (sqrt(132)*-3 + sqrt(132)))))\/(sqrt(120)\/(sqrt(10)*1)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*d - 37 + 12, 0 = -5*d - 4*l + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1275 + 1283. What is the nearest to 6 in -3, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -338 + 347. Let x be 2 - (w\/(-54) - 2\/(-12)). Solve x*i + 12 = 6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01217 - 0.01599. Round d to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 227*f + 4614. Determine q(-21).\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3411 = -12*z + 15*z. Let r = -528 - z. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + (-9)\/(-2). Let q be (9\/12)\/(r\/4). Let t be (4 - (-1)\/(-1)) + -2. What is the second biggest value in q, 2\/11, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.385 - -4.715. Let u = k + -5.4. Which is the second smallest value? (a) 2\/7 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1870 divided by -374\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1596900, -0.1, -14 in decreasing order.\nAnswer: 1596900, -0.1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2 = -3*p. Let i = 3 - p. Let t(h) = -9*h**3 + h**2 + 3*h + 3. Let f be t(-1). Solve f = 4*x - i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118649*f**2 + f + 614074 wrt f?\nAnswer: -237298*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (695\/3475)\/((-14)\/40)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -372 + 375. Let p(m) = -2*m**2 + 5*m - 3. Let w be p(3). Let y = 1 + w. Which is the smallest value? (a) y (b) -1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c\/(c**4*c)*c*c)\/c**1)\/(c\/(c*c**(-1\/4)))**(-7))\/(c*c\/c**(-1\/5)*c*(c\/((c*c**(-2\/5))\/c))\/c)**(-37) assuming c is positive.\nAnswer: c**(2699\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5\/2, -1\/8, -0.2, -1, -3, 0.0288?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3252)\/7)\/((-162)\/(-252)). Which is smaller: c or -724?\nAnswer: -724","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1461, 3897, 7275, 11595, 16857?\nAnswer: 23061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2863683 + -5440997821\/1900. Calculate the common denominator of j and 49\/1900.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80921*a**2 + 40463*a**2 + 40460*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i*k**3*o**2 - 82*i*k + 2*i*o + 1919*k**3*o**2 + 2*k**2 - 2*o**2 wrt k.\nAnswer: -12*i*o**2 + 11514*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -887*h**3 + 50*h**2 - 1113. Let s(k) = 8869*k**3 - 525*k**2 + 11130. Let l(u) = -21*f(u) - 2*s(u). Find the first derivative of l(v) wrt v.\nAnswer: 2667*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + s + 96 = -2*s, 0 = 5*s + 20. Let f = -73 + 111. Let d = n + f. What is the remainder when 66 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.4 (b) 72 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7 (b) 1 (c) -3\/2 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:17 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*t = 740, -362 = -4*l - 2*t + 242. Calculate the greatest common divisor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 24*b. Let c(l) = 215*l + 17. Let y(q) = -38*q - 3. Let x(g) = -6*c(g) - 34*y(g). Give t(x(j)).\nAnswer: 8*j**2 + 48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 104, -49, -52 in descending order.\nAnswer: 104, 3, -49, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*p + 3. Are p and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*b + 15*b - 21*b)*(-163*b - 40*b - 57*b) - 2*b - 15 + 15 + b**2 to f*b + i + y*b**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43002*n = 5*k - 43007*n - 65, 9*n = -4*k - 130 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i - 208*i**2 - 11*i + 22*i - i**3.\nAnswer: -i**3 - 208*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g + 1. Let p(q) = -5*q**3 - 4*q**2 - 7*q - 4. Let v(m) = -4*a(m) - p(m). Let d be v(-2). Solve c + 3 = d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -18. Suppose c = p + 4*p - 10. Solve -p*o = -5*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-20))\/(-1)*(-35)\/(-49)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from iiddiiiiiiiiiidiiid?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -2.2334532?\nAnswer: -2.2334532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -249*s + 202*s + 214, f + 2*s - 17 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 39, 3 in decreasing order.\nAnswer: 39, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1312051670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 70 + 15 = -5*b, 2*p + 4*b = 2. Sort p, 4, 3 in decreasing order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 115.2?\nAnswer: 460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11613 - -255?\nAnswer: 12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*m = 8. Let y = 24 + -22. Suppose 0 = 4*q + y*f - 6, 4*q - 1 = -f + m. Sort q, 1, -4 in decreasing order.\nAnswer: q, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/21 + (-12 - -15). Which is the closest to 2? (a) 7\/9 (b) 4\/3 (c) 2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1345 = -3*m - 2*d + 6*d, 0 = -m + 5*d + 452. What are the prime factors of m?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.17295 centuries?\nAnswer: 0.617295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 999 or 3\/53548?\nAnswer: 999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + f - 40824*f**2 - 6*f**3 + 40906*f**2 + f**3 - 4.\nAnswer: -5*f**3 + 82*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -36. Let q be ((-16)\/720)\/((-1)\/6). Let d = 14 + -9. Which is the third biggest value? (a) d (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 2 - -2)*111. Let a = n + -379. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t = -25*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*l = 72. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyffwfwwyyfwywwwyyf. What is prob of picking 1 f and 1 y?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 6*q + 4. Let r be h(-6). Suppose -2*s - 4*c = -8 + r, 0 = -2*c - 2. Let l = -4 + s. Are l and 2\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*58*(-74)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 33*t - 501. Give s(-10).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 28820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1980 + -1348. What are the prime factors of y\/15 - 7\/((-420)\/(-8))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - 2.6. Let l = -0.33 - -0.13. What is the nearest to -3\/2 in l, h, 2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21042195 less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5\/2 + 315*g**4\/2 - 30647*g**3\/2 - 366267*g**2\/2 - 439789*g - 272136 = 0?\nAnswer: -391, -8, -2, -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14700365.\nAnswer: 5, 2940073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 q when four letters picked without replacement from {x: 4, g: 2, q: 2, s: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.9. Let i = k + -0.6. What is the biggest value in -0.2, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 458 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 1612a3?\nAnswer: -1612a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 169147, 164860, 160573, 156286, 151999?\n\"Answer: -4287*r + 173434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-9 - 1 - (-7490)\/8346*-39.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 4. Let h(n) = 3*n**2 - 35*n + 31. Calculate the smallest common multiple of u and h(11).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 2\/9 + 520\/90.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30190 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:59 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*r + 20, 5*c - c + 16 = -2*r. Let q be (-4)\/(-6)*(1 + -4). Sort r, q, -1.\nAnswer: r, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389687126?\nAnswer: 2, 194843563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 45. Which is the closest to 0.1? (a) i (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -5*j**6\/21 - 3*j**5\/7 + 6*j**4\/7 - 8*j**3\/21 - 13*j. Let v(o) = 0. Calculate o.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12685\/12 + 1066. Calculate the common denominator of (-129)\/2*(-1)\/33 and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 12*c + 87. Let t(u) = 23*u - 21. Let q be t(1). Let o(f) = 5*f + 43. Let h(n) = q*v(n) - 5*o(n). Let x(a) = 2*a. Give x(h(r)).\nAnswer: -2*r - 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465574 and 1310.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 - 16*o - 2613. Let i(a) = 2*a**2 + 6*a + 871. What is -11*i(j) - 4*m(j)?\nAnswer: 2*j**2 - 2*j + 871","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-92)\/460 - ((-1)\/5)\/1. Find d such that 0*d**2 + 2*d + 1\/2*d**4 - 3\/2*d**3 + o = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 475*j + 1819. Calculate r(-4).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14502\/7 - 1934. Let h = m - 138. Sort 4, 2, h, -1.\nAnswer: -1, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-34 + 30 - (1 - 79\/11)). Let g = -11 + 12. Which is the closest to g? (a) -7 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-8)\/(-8) - 13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72581 and 16109.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 259 - 39. Calculate the greatest common factor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*t + 9, 2*t + t = 6. Let n(q) = 2*q. Let z(a) = -1. Let j(f) = p*z(f) + n(f). Find the first derivative of j(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h + 2*h**2 - h**2)*(2*h - h + 0*h) + 4*h - 4*h - 2*h**3 + (0*h - h**2 + 0*h)*(-h - 2*h + 5*h) + 0*h + 0*h - h**3.\nAnswer: -4*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 7*v - 5. Let a be p(-5). Let z(m) = m - 1. Let y be z(a). Solve i = y*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 14 = 638. Let x = l + -32. Solve 0 = 5*u + 13 + x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4))**19\/(a**(-5\/4)*a*(a*a*a*a*a**(2\/11))\/a) assuming a is positive.\nAnswer: a**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3941*z + 248*z + 54235 = -185924 + 59202 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04 and -162?\nAnswer: 161.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -7. Suppose 2*h - 2 = -2*h - 5*p, s*p + 10 = 0. Let b = 10 - 5. What is the remainder when b is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 7946?\nAnswer: 3178.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(-1\/5)*h)*h\/h**(-8\/7)*h**(-17)\/(h**(-9\/2)*h) assuming h is positive.\nAnswer: h**(-781\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*(112\/(-12))\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -36*c**2. Let v(o) be the second derivative of 0 + 0*o**3 + 156*o + 1\/3*o**4 + 0*o**2. Determine v(g(q)).\nAnswer: 5184*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let v(b) be the first derivative of 34*b**3\/3 - 31. What is v(m(j))?\nAnswer: 34*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -376976 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*i + 23, -2*i - 3 - 7 = 2*o. Let w(d) = 0*d + 6 - 12*d**2 - 5*d + 11*d**2. Let r be w(i). Round r to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + 1\/(-4). Suppose p = -m + 3*w + 2, 2*w - 2 = 4*m - 10. Solve 0 = b + 5*d - 9, -m*b - d = 2*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*((7*q + 2*q - 3*q)*(3 + 1 - 2) + (1 - 3 + 3)*(1 - q - 1)).\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441486.\nAnswer: 2, 3, 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 8*u**2 - u - 10. Let a be g(-6). Let v = 234 - a. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-5)*i)\/i*i**(-3)*i)\/(i**(3\/4)*i**8))\/(i**(-1)*i**(1\/5)*i*i*i**7*i*i**(-2\/3)) assuming i is positive.\nAnswer: i**(-1397\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -34*o + 58. Calculate x(3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 440.8964 litres in millilitres?\nAnswer: 440896.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1100110111010110001100 (base 2) to base 13\nAnswer: -911027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-28))\/((-4)\/(-28*4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 2 - 2)*(6*c + 4*c - c) - 29*c + 17*c**4 + 29*c.\nAnswer: 26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 4. Let a be v(9). Suppose -a*t = -8*t. Suppose t = j - 7 - 5. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -3\/8*j**2 - 1\/24*j**6 + 3\/10*j**5 - 28 + 5\/6*j**3 - 3\/4*j**4 + 0*j. Solve t(m) = 0 for m.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. Let c be n*(-2 + (-6)\/(-4)). List the prime factors of -12*(1\/c - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 5, j: 5, h: 4, x: 1}. What is prob of sequence jaj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 4*z + 24*z)*(z**3 + z - z) - 3*z + 3*z + z**4.\nAnswer: 22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 9968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a**3 + 17*a**2 - 13*a - 5. Let l(m) = -4*m**3 + 8*m**2 - 6*m - 2. Give -13*l(j) + 6*y(j).\nAnswer: -2*j**3 - 2*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*j + 79488, 5*j = 2*h + 184010 + 14713. Suppose 4*n - 17732 = -128712. Let w = j + n. Round w to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 833*d**5 + 810*d wrt d?\nAnswer: 16660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3524012 divided by -2?\nAnswer: 1762006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (1*-2 - 0). Let n be -10*2\/(-120) + 29\/6. Suppose 12 = -v - 2*u + n, -5*u - 18 = 2*v. Solve -2*q - l - v = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 109114*d**2 + 8929835187*d - 214295095112\/3.\nAnswer: (d - 163667)**2*(d - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 541840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u - 6*u - 2 - 5*u.\nAnswer: -29*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36504849109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 v, and 1 k when three letters picked without replacement from tvwkkqjj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54397 divided by 19.\nAnswer: 2863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-63)\/(-5) + (-22)\/(-5) + -5. Let n be (4\/c)\/(49\/(-42)). What is the biggest value in -3, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. Let s = g + 9. Calculate the remainder when 34 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/245, 4, 1, -1\/108, 3?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/119 and 97\/136?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176.57 + 3.43. Which is greater: 0.4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {m: 7, g: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49632 is divided by 937.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3 + (-22)\/12. Let s be (-2)\/(-12)*(-3)\/(-2). Let o = 124 - 622\/5. Which is the closest to -2\/3? (a) s (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55.125, -0.3, 0.13 in decreasing order.\nAnswer: 55.125, 0.13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 36*g**2 + 14*g - 532. What is q(36)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3)*(-2 + 2 + y**2) - y**2 - 4*y**2 + 3*y**2 + (0 + 3 - 5)*(9 - 113*y**2 - 73*y**2 + 246*y**2).\nAnswer: -124*y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 3 + -27 + 11 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:10 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4621 + 0.2621. Let i = 5442\/17 - 320. Which is greater: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6268968 is divided by 583.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1367*b**6 - 46*b**4 - 2*b**2 + 6*b + 202 wrt b.\nAnswer: 164040*b**3 - 1104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 + z. Let x = 384 + -379. Suppose -x*d + 109 = 79. Determine b(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*f = 50*f - 72. Suppose 0*v = 5*v - 10. Sort -1, -5, v, f in ascending order.\nAnswer: -5, f, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -13. Is -27 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10378, 10440, 10502, 10564, 10626, 10688?\nAnswer: 10750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (7*14202\/(-3969) - -32)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6 + (-36)\/(-8). Suppose 1 - z = 3*m. Let c = -889.63 + 890. What is the nearest to -0.1 in 5, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13*h**2 - h**3 + 0*h**3 + 22*h**2 + 3 - 12*h**2 + 8*h. Give c(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 358043837*l**3 - 37*l + 279644 wrt l?\nAnswer: 2148263022*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c**2 + c - 9. Let i be u(0). Let f = 13 + i. Let l be 0\/((-4 + 13)\/(-3)). Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**3\/2 - b. Let i(f) = -4*f + 5*f + 4*f - f. What is g(i(m))?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -54. Let w be 1*(-4 - -1) + x. Is ((-316)\/6)\/(w\/39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171471 (base 10) in base 7?\nAnswer: 1312626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/10, -1.3.\nAnswer: -2, -1.3, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 65164*h + 325840. Determine x(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**5 + 672*u**4 + 8*u**3 + 50*u - 284 wrt u.\nAnswer: 40*u**3 + 8064*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3232 (base 5) to base 11.\nAnswer: -372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o - 2*p + 4 = 0, -5*o - 2*p = -7. Calculate the least common multiple of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -65. Let t = -1\/114 + -3\/19. Put t, 0.3, j, 0.1 in ascending order.\nAnswer: j, t, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -5, 0 in ascending order.\nAnswer: -30, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 15*c**2 + 76*c + 116. Let j be r(-5). Calculate the greatest common factor of 41736 and j.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 31) + 21 + -12 + 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Suppose -3*i = -5*q + 281 + 14, 2*q - 137 = 5*i. Let t(k) = -32*k + q*k + 90*k. Calculate v(t(a)).\nAnswer: -114*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -137 divided by -89\nAnswer: 137\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10 = 0, 6*u - 4*l - 68 = u. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/5775 and 37\/544.\nAnswer: 3141600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x = -4. Calculate the greatest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:19 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2061799460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 - -5) - (-7 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 51*w**2 - 5. Let x(k) = -684*k**2 - 20*k + 72. Let t(n) = -95*n**2 - 3*n + 10. Let i(y) = -20*t(y) + 3*x(y). Determine 5*i(h) + 16*o(h).\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 16320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305610.\nAnswer: 2, 3, 5, 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59.8 + -60. Let m be ((-2)\/42)\/(3\/(-6)). Which is the closest to k? (a) -5 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -1\/30*v**6 + 0*v**3 + 0 + 0*v**5 - 3*v**2 + 0*v - 1\/24*v**4. Find the second derivative of g(r) wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*-123 + ((-1518)\/6578 - 931\/(-91)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:24 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 40*a + 92. Calculate u(23).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 82*j + 4192\/3.\nAnswer: -(j - 16)*(j + 262)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -60 (b) 139 (c) 2 (d) 4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/24640 and 9\/560?\nAnswer: 24640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.72 - 55.42. Let h = -52.55 - -0.55. Let t = h - w. What is the nearest to 0 in -2, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2670728 is divided by 215?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11527735?\nAnswer: 5, 257, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 550 + -541. Let s = -2 - -2. Let b = s - -0.1. What is the closest to 0.1 in n, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 380 = 2*h, h - 4*d - 181 = -9*d. Suppose -5*f + h = -4. Calculate the remainder when 112 is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Differentiate l**2 - l**2 - 2*l**k + 2 with respect to l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9703)\/(-651) + 2\/21.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d0aacd + 4?\nAnswer: -d0aac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 6. Calculate n(-11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + -7 + -34 + 26 - -56?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -62348 divided by -26\nAnswer: 2398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -281 - -283. Suppose -5*f + 1608 = -4*k, -f - c*k = 50 - 366. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 + 8 + -6 + -14 + 19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 - 8 = -4*g, 2*g = k + 1. Let q be 4 + -4 + g - -37. Suppose 11*l - 10*l = q. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*j**3 + 116\/3 + 46\/9*j - 20\/3*j**2.\nAnswer: 2*(j - 29)*(j - 3)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -10.8.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/1431 and -31\/1086.\nAnswer: 518022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 4\/9, -1\/3, -0.4, -3\/5 in increasing order.\nAnswer: -3\/5, -0.4, -1\/3, 0.11, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4))**15*(f**(-1\/12)\/f)\/f**(-1)*((f*f*f*(f*f*f**(-2\/5))\/f*f)**(1\/8))**(-31) assuming f is positive.\nAnswer: f**(-2599\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 113 divided by -326986\nAnswer: -113\/326986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7537 a factor of 37202632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 82. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-194)\/8)\/((990\/(-8316))\/((-20)\/42))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t + 14*t - 12*t)*(-2 + 5 - 2 - 3 + 0 + 2 + (-4 + 3 + 2)*(-3 + 4 + 0) + 2 - 1 + 0).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43814115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -95*y - 2329. List the prime factors of p(-30).\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a - 6. Suppose 24 - 135 = a*m. Find the common denominator of (-2 + 60\/27)*m and 1\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8348300.\nAnswer: 2, 5, 31, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 3\/2, -3.3, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -31, -1.56 in ascending order.\nAnswer: -31, -2, -1.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 12*y**2 + 8 + 2.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152480616 to the nearest integer?\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145.72*0.1.\nAnswer: -14.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27173264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 8*j**2 + 19*j - 39. Let h be r(6). Suppose 0 = -5*l + k - 4*k + 17, 13 = 5*l + 2*k. Solve l + 8 = h*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141332343 (base 5) in base 7?\nAnswer: 6131203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 838.31 + -895.897. Round l to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**6\/2 + 87*p**5\/5 + 168*p**4 + 196*p**3 - 358. Factor q(m).\nAnswer: 3*m**2*(m + 1)*(m + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 14*v - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 3*y. Calculate f(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 37?\nAnswer: -8\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14883 + 15000. Which is smaller: 15\/8 or t?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639769698?\nAnswer: 2, 3, 11847587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93\/7*l**2 - 80\/7 - 13\/7*l**3 + 4\/7*l**4 + 344\/7*l = 0.\nAnswer: -5, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q**2 - 91*q - 3. Let g be i(-7). What is the closest to -2\/7 in 5\/2, 2\/7, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (((-3 + sqrt(363))*-2 - (sqrt(363) + -5*(sqrt(363) + -1 + sqrt(363))))*-1)**2.\nAnswer: 154*sqrt(3) + 17789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 10:25 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -590 + 587. Put t, 5, -0.2 in ascending order.\nAnswer: t, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkyr when four letters picked without replacement from zkkryrrzrzz?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5659 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/1512)\/((-4*5\/(-70))\/(60\/35)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22414 (base 5) to base 8.\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:36 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + 2*d)*(-104 - 83 + 108).\nAnswer: -158*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 4 = 4*i + 2*t, 0 = 5*t - 25. Let l be 1 + i\/((-234)\/(-171)). Which is smaller: l or 8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -5*r**4\/24 + 75*r**2. Let k(h) = 21*h. Calculate k(s(x)).\nAnswer: -105*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8613582.2 + 6.9\nAnswer: 8613589.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.05, -23.98.\nAnswer: -23.98, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -515282.9 and 65.\nAnswer: -33493388.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 7 + 1. Let w be (-2)\/(-6) - (-4)\/(-12). Solve m - a*g + 0*g + 8 = 0, -4*m - 3*g + 12 = w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t - 12. Let q be r(-6). Suppose 32501 + 47929 = q*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000076308 rounded to 7 dps?\nAnswer: 0.0000763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:13 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 624 + -612. Suppose -15 = -13*r + o*r. Solve 3 = -6*x + r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30299995\/(-2))\/((-4)\/8). Suppose 3*s = -4*f - 40399985, -s - t = 3*f - 0*f. What is f rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueuueuuueuuueeeeee. Give prob of sequence uue.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46259 + ((-98)\/(-245))\/(4\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, -3, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**5 - b**4 + 3*b**3 - b**2 - b. Let z(n) = -58*n**5 + 279*n**4 - 507*n**3 + 245*n**2 + 93*n. Let c(s) = 6*f(s) - 2*z(s). Factor c(v).\nAnswer: 2*v*(v - 2)**3*(49*v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 19*u**3 + 134*u**2 + 15*u + 115. Give q(-8).\nAnswer: -1157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.202? (a) 1 (b) 8 (c) -0.006\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 241*g**2\/3 - 132*g + 100\/3.\nAnswer: -(g + 2)*(g + 25)*(9*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 b when four letters picked without replacement from {s: 6, b: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6881 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-one halves of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 21516. Let n be (q\/(-55))\/((-2)\/5). Suppose 4*u + 4*j = 3*j + 652, j = 3*u - n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 0. Calculate the remainder when c + (-43)\/(3\/(-3)) is divided by 14*(-2)\/((-4)\/2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 19*z + 6. Suppose -j + 4*y + 43 = 11, -3*j + 5*y = -75. Let m be 4\/j - (-324)\/(-20). Is 18 a factor of l(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 5*a + 3. Let w be t(4). Let y be (-23 - (-2)\/1)*-1. Suppose 3*k = -4*q + 33, -y = 3*q - w*q + k. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 56 = 3*n - 0*o, -n + 23 = -5*o. Calculate the remainder when 70 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 + 100010110101101100000011?\nAnswer: 100010110101101011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180, -1, 147, 5, 4, -4.\nAnswer: -4, -1, 4, 5, 147, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 4539?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/1067 or 1?\nAnswer: -43\/1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence our when three letters picked without replacement from {o: 2, f: 3, d: 4, r: 6, x: 4, u: 1}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q**2 - 45*q + 75. Let f be p(-6). Is 18 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o - 199. What is a(25)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9701 and 3536593?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:12 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**6\/15 + 73*d**5 + 44651*d**4\/2 + 265720*d**3\/3 + 132496*d**2 - 808*d. Suppose p(g) = 0. What is g?\nAnswer: -364, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*b - 3*p - 6, 0 = -2*p - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n**2 + 1. Let p = -13 + 38. Let c = 24 - p. Give f(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from onnogldldnngds.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40116 - 39295. Solve -p - 5*s - 12 = 0, -5*p - 5*s + n = 801 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10902000 rounded to the nearest 100000?\nAnswer: -10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/((-3944)\/68)*-126\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2800 by 25.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*r - 444*r**2 - 9*r + 9*r + 0*r - 108*r**3 wrt r.\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203648705.7 plus -11319?\nAnswer: -203660024.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457004831 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 4:45 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1025 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = -5*p - 60. Let d be (-8)\/28 + (-54765)\/(-3)*1\/21. Calculate the greatest common divisor of d and p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 11:27 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/1208? (a) 106 (b) 2\/5 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8466667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**3 - 6964*b**2 - 3048416*b - 15068480 = 0.\nAnswer: -868, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -59, -63, -69, -77, -87?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*y = -51*y - 1245. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 - 1062*b**3 - 3013*b**3 - 58*b - 4828*b**3 - 3*b**2 + 37*b**3 wrt b?\nAnswer: -53196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299221, 598406, 897577, 1196728, 1495853, 1794946, 2094001?\nAnswer: 2393012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 2*a - 5*v, -6*a - 57*v + 61*v = 44 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 23540*a - 329565. Calculate p(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/4)*l)**(-3\/10)*l**(-8\/11)\/(l\/l**(-30)) assuming l is positive.\nAnswer: l**(-14323\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 81 = 5*p, -677*i + p - 19 = -675*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 0*h - 68*h**2 + 4*h to the form k + p*h + o*h**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134 - 544 + 141 + 138 + 1062*t + 138 to x*t + p and give x.\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-5)) - (-26)\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/1 + 8 + -8810. What is d rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 93 = -3*o. Let y = o - -58. Let v be y\/9 - (-6 + -1). What is the greatest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -7 - 13 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u**3 - u + (-u**3 + u**3 - 2*u**3)*(3 - 3 - 2) - u**3 + 4*u**3 + 0*u**3 - 2*u**3 - 3*u**3 + 2*u**3 - 2*u**3 + 2*u**3 + 3*u**3)*(4*u - 6*u - u).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*m - 3 + 1, -2*m + s = -3. Suppose 4*h + 4583 = x, -m*x + 3788 + 14607 = 5*h. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:10 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 2*s + 3. Suppose 4*t + 33 = 2*l + 13, 5*l - 4*t - 32 = 0. Suppose l = -5*i + 24. Calculate the least common multiple of a(-3) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32086*w**2\/15 + 144616*w\/15 - 1592\/5.\nAnswer: 2*(61*w - 2)*(263*w + 1194)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -756*z - 7570. Calculate f(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -38. Suppose -4*r + 0*r = -16. Suppose 4*t = y*l + 54, 0*l = -r*t - l + 45. Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 5 = -31. Suppose 3*f + 0*f = 0. Find the second derivative of 0*a + 3*a + 0*a**3 + f*a**3 - v*a**4 wrt a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4 - 0)\/((-3)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**3 - 10*s**2 - 16*s + 5. Let h(a) = 11*a**3 - 20*a**2 - 33*a + 9. Let m(v) = 4*h(v) - 9*o(v). Let y be m(11). Solve -y*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -309\/5. Calculate the common denominator of t and 59\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 39 = -j. Let q = j - -21. What is the lowest common multiple of q and 1\/(-3) - 475\/(-75)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 10:29 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l**2 - 3*l + 5. Let u(i) = 20*i**2 - 8*i - 18. What is the remainder when u(-5) is divided by p(-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojuooolojojo. Give prob of sequence luoj.\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -10)*1*7\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 34, -703, -4, 2.\nAnswer: -703, -36, -4, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 3*j + 4. Let c be m(1). Let f(o) = o**3 - 3*o**2 - 5*o - 1. What is f(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, o: 10, f: 2}. Give prob of sequence fokf.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**7\/840 - z**6\/360 + z**5\/120 + 2*z**3\/3 - 9*z. Let i(n) be the second derivative of l(n). Give i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 7:10 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -49. Let b = 0.1 + -0.3. Let l = -0.7 - 0.3. Sort l, b, k in decreasing order.\nAnswer: k, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = -0*g. Let z be ((-2)\/(-3))\/(g\/27). Suppose -z = -5*m + 4*q, 0*q - 2*q = -4*m + 6. Solve -m*l + 0*l - 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-15) + 227\/5. Let s be -5*1*(-2)\/n. What is the biggest value in 3, 1, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 8. Let y be j(-5). Let f = y + -3. Solve f = -k + 2 - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + (sqrt(425) + 4*(sqrt(425) + 1 - sqrt(425)))**2 + sqrt(425) - sqrt(425)) + 0.\nAnswer: 45*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683961 is divided by 29702.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-3)*2*13\/(-4). Calculate the greatest common divisor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-100) + (-458)\/20)\/1. Put 3\/17, w, 2\/9, 0 in ascending order.\nAnswer: w, 0, 3\/17, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*f - 99*f + 1926 = 4*l, 3*f - 15 = 0. What is the highest common divisor of 1573 and l?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 21.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32658 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -3*k + 2*v, 0 = k - 77200*v + 77208*v - 107 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (20\/120)\/((-1)\/2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 5*a + 9. Let s(h) = -h**2 - h - 2. Suppose 0 = 7*x - 4*x - 3*o - 39, 2*x - 22 = o. Determine x*s(i) + 2*y(i).\nAnswer: -3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n + 20*n + 105*n**3 - 39*n.\nAnswer: 105*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3365430 (base 7) in base 5?\nAnswer: 101412311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - -4)\/((-2)\/(-5)). Let t(b) = -b**3 - 21*b**2 + 10*b + 10. Let y be t(s). Round y to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**4\/2 - 2*m**3\/3 + 3*m**2\/2 + 3*m + 6. Let h be y(-2). Sort h, 3, -3 in increasing order.\nAnswer: -3, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5407 is divided by 534?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 10:08 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*8692\/(-1453737).\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odce when four letters picked without replacement from edoekokdcdkoccgd?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k = -5*p + 170, 2*k + 24 = -31*p + 33*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*o + 3*x + 56, 4*o = 5*x + 75. Suppose q + 2*u + 6 = 0, 0*q + 40 = 5*q - 4*u. Calculate the highest common divisor of o and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -0.9, 1\/4, -2\/3, -144?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + -39 - -1 - 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.4. Let a be 3\/9 - (-1 + (-56)\/(-6)). Let n be a - (-1 - 4 - -1). What is the second smallest value in c, 2\/3, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 11) to base 4\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77)*-2 - (sqrt(77) - (sqrt(77) + -4*(sqrt(77) + -4*sqrt(77)))))\/(sqrt(70)\/(1*sqrt(10)*5)*-1))**2*-1.\nAnswer: -53900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88342?\nAnswer: 2, 44171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 6. Let o(c) = 163332*c - 1. Let q be o(3). Let t be m\/(-4) + q\/10. What is t rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55764061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -6\/13 (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -3*n**8\/560 + n**4\/6 - 13*n**3\/6 + 7*n. Let j(l) be the second derivative of s(l). Differentiate j(d) with respect to d.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 8*c + 6. Let q be z(-4). Calculate the remainder when 34 is divided by q\/(-39) + (-240)\/(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/4)*k)**13*(k*k**2)\/k**(-1))**(-44) assuming k is positive.\nAnswer: k**(-1177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18894, 18895, 18896?\nAnswer: 18897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 11. Let q be p(3). Suppose 6*l - 4*c = l + 169, -20 = -5*c. Let s = 33 + l. What is the highest common factor of s and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173254 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13143?\nAnswer: 3, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 697*p**2 - 3358*p - 360. Let c be k(184). What is c rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820000 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 230 = -3*m + 61, 0 = 3*m - 5*x - 291. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -78. Let s = -25 + m. Solve -1 = s*w + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 18. Suppose -3*t + 5 = -k. What is the second derivative of -5*d**3 - 17*d + 16*d**t + 12*d wrt d?\nAnswer: 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 10*t**2 - 17*t - 1. Let v = 124 - 132. Calculate r(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*f + 15 = 0, 5*u - 3*f - 60 = 2*f. Suppose -u*z + 10*z = 1263. Let r = z - 2483\/6. Calculate the common denominator of r and -49\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 18*u**2 - 153 - u**4 - 36*u + 4\/3*u**3. Suppose k(l) = 0. Calculate l.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**9\/60480 - f**6\/240 + f**5\/30 + 4*f**2. Let b(w) be the third derivative of x(w). Differentiate b(v) with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6283683054 to the power of 1\/2, to the nearest integer?\nAnswer: 79270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1127 at most -1127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 19*a + 989. Let t be l(-51). Solve 8 = -t*q + 12*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 11*p + 9. Let r be 7106\/76 - 3\/2. Suppose -1650 = 59*a - r*a. Calculate the remainder when s(8) is divided by a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28436457 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Suppose t + 5*n + 26 = 8, 0 = 3*t - l*n - 31. Suppose 3*k - 55 = -t. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2662846 * 3.\nAnswer: -7988538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18987275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 - 247 = 18*l + 503 - 113 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 56997, 225850, 507267, 901242, 1407769, 2026842, 2758455, 3602602?\n\"Answer: -q**3 + 56288*q**2 - 4*q + 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 4*y + 6. Is f(-4) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -440 + 925\/2. Is a smaller than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8 - 10 + 18 + 107*u - 208*u + 106*u. Suppose -2 = d - 3*x - 4, 0 = -3*d + 4*x + 26. List the prime factors of b(d).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z - 1. Let q(y) = -3*y**2 + 8*y + 1. Let i(g) = -2*k(g) - q(g). List the prime factors of i(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adad when four letters picked without replacement from daddda?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 0.1, 5, -1.9, -1 in descending order.\nAnswer: 40, 5, 0.1, -1, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1872*193\/(-20844)*(34\/18 + -2)*3?\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766529.\nAnswer: 37, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 157.\nAnswer: -18\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 16. Let h = q + 3.1. Let b = 178.4 + -178. What is the smallest value in -4, h, b, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -15440*v**2 - 2*v + 10. Let l be t(5). What is l rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1492, -1495, -1498, -1501, -1504, -1507?\n\"Answer: -3*r - 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64947 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 4*g**2 - 4*g**2)*(2 + 0 - 1)*(5*g**2 - g - 18*g**3 - 3*g**2 + 0*g**3).\nAnswer: -18*g**5 + 2*g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(912)*4 + sqrt(57) + sqrt(57) - (sqrt(285)\/sqrt(245) + sqrt(57)))\/(-4*2*sqrt(9)\/sqrt(147)).\nAnswer: -59*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -38. Put -4, -3, n, 1 in descending order.\nAnswer: n, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -31 - 17. Let w be 4\/(-6) + 14\/(-6). What is the lowest common multiple of o and (-8)\/(1 - w)*-8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -635 + 851. Suppose 316 = 3*w - 3*k - k, -k + 110 = w. What is the remainder when v is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 16*q**3 + 4.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -271392542761?\nAnswer: -271392542723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 4*f**2 + 3*f - 4. Let d(c) = -5*c + 1. Let x be d(2). Calculate the lowest common multiple of 3\/(x\/(-33)) + 1 and b(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3\/9 + 96820*o**2\/9 = 0. What is o?\nAnswer: -24205, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 107197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 205709, 411403, 617097, 822791, 1028485, 1234179?\n\"Answer: 205694*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 406*v + 5*v**2 - 413*v - 2 + 5*v**2 to m*v + c + x*v**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 68590596 times -2?\nAnswer: -137181192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 10890 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-18))\/(1\/(-3)))\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 234\/90 + (-45)\/75. Let r = -3 + 6. Solve r*n + 3 = f*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 16061 = 4*q + 3491, -q + 25140 = 4*h. Let o be 4\/(-18) - h\/27. Is 10\/(-15) + o\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 82796.\nAnswer: 82801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -22. Let k = -126898.899928 + 126911.9. Let l = p + k. Round l to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 39. Suppose 1 = -3*d + r. Solve 0 = -3*i - 3*t - 8 - 7, 0 = -3*i - d*t - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 98 = 14. Solve -27 = -23*b - o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*j*o**2 - 10*j*o - 51*j - 2*o**2 wrt o?\nAnswer: 34*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/20340 and 161\/10170?\nAnswer: 20340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -664*c**2 + 14*c - 13. Let s(w) = -332*w**2 + 8*w - 7. What is -4*n(d) + 7*s(d)?\nAnswer: 332*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 992*l + 505*l = 12372 + 107388 for l.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -60. Let a(c) = -15*c**3 + 20*c**2 + 11*c - 11. Let j(t) = -4*t**3 + 5*t**2 + 3*t - 3. Give x*a(o) - 22*j(o).\nAnswer: -2*o**3 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:29 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42033, -84072, -126119, -168174, -210237, -252308, -294387?\nAnswer: -336474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4020714?\nAnswer: 2, 3, 139, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 60. Suppose -3*t + 3 = -4*n + o, -2*n + 8 = 0. Suppose -3*w - f = -49, t*w - 5*w + 2*f = -78. Calculate the smallest common multiple of w and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 9*y**2 - 21*y + 53. Calculate b(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p + 2. Let b(l) = 9*l - 2. Determine 5*b(f) + 6*r(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10515823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0 + -59 + -1. Find the common denominator of (-78)\/(-4)*-9*4\/s and 57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 440 = 7*h. Suppose h = 9*w - 20. Differentiate w + 12*r**4 - 4*r**4 - r**4 wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11008 and 1190880?\nAnswer: 409662720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a**2 - 3*a. Let f(j) = -11*j + 12*j - 12*j - 5*j + 15*j. Calculate f(r(h)).\nAnswer: -9*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400018*w**2 - 62678*w**2 + 333227*w**2.\nAnswer: 670567*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((25 - 0) + -30 + (32 - 14)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 529 + -437. Which is smaller: p or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 447690*j**3 - 379*j**2 - 203548290 wrt j.\nAnswer: 1343070*j**2 - 758*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*z - 24, -3*p + 2*p + 5*z - 18 = 0. Let t(n) = n**3 + 4*n**2 - 3*n - 4. What is the remainder when 40 is divided by t(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 339 + -332. Suppose 5149 = u*m - 2334. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**3 - 18*a**2 + 68*a - 129. Let d(p) = -7*p**3 - 12*p**2 + 46*p - 86. Let l(q) = -7*d(q) + 5*g(q). Is 4 a factor of l(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Let v(w) = -w**3 + w**2 + w. Let u(x) = 4*x**3 - 2*x**2 + 37*x. Let c(y) = j*v(y) + u(y). What is the second derivative of c(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 - 2763*n + 235410 = 0. What is n?\nAnswer: 95, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/195 and 20\/117?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4724499 or -4724572?\nAnswer: -4724572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -4, 0.7, -3\/5, -0.1, 4 in ascending order.\nAnswer: -4, -0.8, -3\/5, -0.1, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-3))\/((-39)\/169*(-896)\/(-96) - -2).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40944, 3, 5, 3\/2, -0.5 in ascending order.\nAnswer: -40944, -0.5, 3\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 1. Let i = -7 - -15. Let g(n) = -2*n + 11. Let h be g(i). Let y(u) = -7*u + 1. Let w be 22\/(-6) - (-4)\/6. Determine h*v(a) + w*y(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjsjssjj. Give prob of sequence sjjs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o - 20. Let d be s(-2). Let a(f) = f + 15. Let z be a(d). Suppose -155 = -5*t - z. What is the remainder when t is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1106 and 38405850.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 6. Let p = 9 - 1. Let k = 11 - p. What is the third biggest value in 1, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -315, -622, -917, -1200, -1471, -1730, -1977?\n\"Answer: 6*z**2 - 325*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42713 or 42731?\nAnswer: 42713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -62 (b) -3 (c) -6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + o - 11, 14 = -2*x - 2*o - 20. Let f be (-35)\/x*6\/5. Solve -3*u + f*p + 5 = 2*u, 25 = 5*p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 + 0.22. Let q = 8\/39 - 103\/312. Let l = -0.3 + 2.3. What is the second smallest value in l, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - y**3 + 4*y**3)*((-1 + 3 - 1)*(-2*y + 0 + 0) - 2*y + 5*y + 0*y + 0 + 0 + 4*y).\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - 3 - -1 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -26*a + 323. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3959\/60 - -297\/5. Let m be (2\/12)\/((-36)\/(-142971)). Let y = m + -664. What is the common denominator of j and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -8, -1226, -36?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 21*a = -26*a - 35, -4*x + 3 = a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2 - 425*g + 3016. What is h(8)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*k - 10, -k + 4*j = 12 - 26. Sort k, -3, 2, 1, 20.\nAnswer: -3, k, 1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 7*f - 8. Let r be h(7). Let d = r - 53. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 354, 364, 378, 396, 418, 444, 474?\n\"Answer: 2*h**2 + 4*h + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55639217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2) + 5 - (sqrt(2736)*-1)**2.\nAnswer: -2731 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5 - 24*z**4 - 99*z**3 - 12*z**2 + 132*z = 0. Calculate z.\nAnswer: -2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 5.836.\nAnswer: -17.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - m + 5*m = 7, -7*m + 21 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4157 + -4162. Which is the closest to -0.22? (a) s (b) -3 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 3)*(-h**2 + 0*h**2 - h**2) + 13*h**2 - 18*h**2 + 16*h**2 to j*h + a + g*h**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8289731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0, -116 in descending order.\nAnswer: 0, -1, -3, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/226 > -1557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1054 + 1040. Which is bigger: s or -27?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274456 = 5606*v - 5619*v. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1997, 6491, 13981, 24467?\nAnswer: 37949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 13. Let v be g(10). Suppose -1 - v = -m. Suppose -2*d = -m*d + 4800. What is d rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14705380 divided by -212.\nAnswer: -69365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -10943952400 to the nearest one million.\nAnswer: -10944000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-90))\/((1400\/1092)\/(-25))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -433 + 289. What are the prime factors of a\/(-15) + 3\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -9*p**5\/4 - 303*p**4\/4 + 417*p**3\/4 - 105*p**2\/4 = 0.\nAnswer: -35, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + k**3 + 3*k**4 + 2*k**4 + 0*k**4 + 0*k**4 + (5*k - 7*k - 4*k)*(2421*k**2 - 31*k**3 - 2421*k**2).\nAnswer: 191*k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4)**(-6\/19))**(-39) assuming a is positive.\nAnswer: a**(936\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/3)*z*z**23 assuming z is positive.\nAnswer: z**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2408*a + 3663*a + 63885 = -23965 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -23 (b) -2 (c) 2 (d) 0.07 (e) 3\/53 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/2*-4)\/(-2). Let i(u) = -58*u + 53. Let j(r) = -29*r + 26. Let z(h) = g*j(h) + 3*i(h). What are the prime factors of z(-9)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (7 - (8 + (-1 - -1)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*k - 10*k**3 - 27*k + (0*k + 4*k - k)*(-2*k**2 + 2*k**2 + k**2).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8430172577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j - 6 = -3*n, n - 9 = -2*j. Let s = 2 - 2.1. Let g = 0.1 + s. Sort -5, n, g in decreasing order.\nAnswer: n, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*o - 47*o - 57*o + (2 - 2 - 2*o)*(3 - 5 + 0).\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 4. Let o be s(3). Let b be (6\/o)\/(-9)*-3. Suppose -b = -i + 4. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 3, -4, 0, -3 in descending order.\nAnswer: 3, 0, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, -2, -3\/11, 0.8 in descending order.\nAnswer: 0.8, 0.3, 0, -3\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -3, -9, 11 in ascending order.\nAnswer: -9, -3, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1.5, 2, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17*z + 1. Let l be h(-2). Let r = -31 - l. Find the second derivative of -3*b**2 + 0*b**r + 2*b - 3*b**2 + 8*b wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29735 divided by -1.\nAnswer: 29735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*f - 349 + 74, 2*f = -2. Calculate the lowest common multiple of 380 and x.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = -2, 5*a - 23 = 4*l. Factor 137 - 131 + 144*n + 4872*n**2 - 489*n + 2523*n**a.\nAnswer: 3*(n + 2)*(29*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*3*(3*(sqrt(275) - (sqrt(275) + 2)))**2*-1.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 2. Let q be (3\/2)\/((-6)\/8). Let i be o(q). Let r = -3 - -8. Solve 0 = -w - 4*u + i*u + 6, 0 = w + r*u - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 13 = 4 - 5, 24*v + 2*k + 32 = -6*v + 98 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, v: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*u, 3*y - 5*u = -6*u - 62. Let l = y + 27. Find the third derivative of -1013*k**3 - 17*k**2 + 1013*k**3 - 3*k**5 - 18*k**l wrt k.\nAnswer: -1260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.45 - 22. Let l = 0.05 + y. What is the closest to -2 in 4, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -781*l**2 + 6*l - 12. Let p(s) = -s + 2. Let k(c) = 6*p(c) + z(c). Let h(x) = 2*x. Determine h(k(q)).\nAnswer: -1562*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32\/173, -0.02, -23.\nAnswer: -23, -0.02, 32\/173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 23. Suppose 2*l + 111 = x. What is l rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 26. Let x = -5\/211 + 557\/5697. Is x at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9\/71 (b) -0.1 (c) 19 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 0 + 8 + 13 + -51?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -18 - 3*a + 5*a**2 + 9*a**2 - 13*a**2. What is the least common multiple of 4 and r(11)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 30388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 2*j**2 + 9*j + 4. What are the prime factors of b(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9954\/19 or -523?\nAnswer: -9954\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*((-16)\/(16\/4) - -26). Let u = k - 108. Solve 4*w = u*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -232*h - 836*h + 163*h + 1 - 112*h - 554*h in the form q*h + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*y - 1 = 11, 36 = 3*o + y. What is the remainder when 32 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 3 (c) -11 (d) -48992\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157 + -2825\/18. Find the common denominator of (0 + 2 + 305\/(-60))*(-56)\/105 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ffteyrfeerffggf.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-7))\/(2298\/(-42896)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.8, 0.02, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -394 and 51.\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 674609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 1688038, -2\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -3*h**5\/20 + 5*h**4\/12 + 5*h - 5. Let k(n) be the first derivative of o(n). What is the third derivative of k(y) wrt y?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -0.032.\nAnswer: 0.00192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111 + -100?\nAnswer: -10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/8 + 17*f**3\/2 + 387*f**2\/8 - 19521*f\/4 - 40824 = 0. What is f?\nAnswer: -18, -9, 32, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -50*u - 2256. Give q(-17).\nAnswer: -1406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30145.\nAnswer: 5, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 809, 801, 779, 737, 669?\n\"Answer: -j**3 - j**2 + 2*j + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 2*z**2 + 19*z + 739. Calculate w(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 3*u**2 - 20*u + 2120. Calculate a(15).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 12*y**2 + 8*y - 19. Suppose -4*p = -b - 45, 5*b - 170 + 191 = 3*p. Give f(p).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/21*(76\/114)\/((-10)\/18)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*(95 + -71)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 85557511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (54 + -39) - -106 - -48.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p + 28 = 21*p. Let j(u) = u. Let r(d) = 35*d + 1. Let l(z) = 3*j(z) - r(z). Is l(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + (0 - 2) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-250)*((-60)\/(-8) + -5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 51.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}