diff --git "a/data/dm_maths/full_data_1/11084_11255.jsonl" "b/data/dm_maths/full_data_1/11084_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11084_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -1.603 times 4\nAnswer: -6.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -892452, -1784932, -2677410, -3569886, -4462360, -5354832?\n\"Answer: i**2 - 892483*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/7 - 55\/28. Put 7, -4\/5, l in descending order.\nAnswer: 7, l, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*y - 40. Let k = -7 - y. Let b = 0 - -4. Is b < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17899019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1 + 6*d + d**2 + 1. Suppose 0 = -31*k + 36*k + 35. Is i(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486 >= 1486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2890 is divided by 366?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 15*l + 18. Does 2 divide a(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 393*c - 400*c - 23 + 66.\nAnswer: -7*c + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*t - 521, 3*m - 422 = -5*t + 113. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**9\/3780 + m**8\/1680 + 7*m**4\/24 - 8*m**2. Let u(t) be the second derivative of y(t). Factor u(b).\nAnswer: -4*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202 + 105?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/34977 and 83\/1869.\nAnswer: 244839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-15)\/(-5)) - (-7296)\/(107 - 203)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**5\/4 - 445*y**4\/4 + 1890*y**3 - 11745*y**2 + 24840*y = 0.\nAnswer: 0, 6, 8, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 684 + -684.9. Which is bigger: a or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8 and (-2 + 13)\/(10\/11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4484054?\nAnswer: 2, 2242027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -83, -58, -21, 28?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-21))\/((-11972)\/(-511))\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*n**3 - 1\/2 - 1\/4*n + 1\/2*n**2 = 0. Calculate n.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/4091 + -2033467\/61365. Let j = -33 - k. What is the closest to 0.1 in 2, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3814, -7533, -11198, -14815, -18390, -21929, -25438, -28923?\nAnswer: -32390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (8 - (-92 + 66 + (-2 - 10)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l + 36*l + 9*l + 32*l to the form m*l + c and give m.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5417\/11 + -493. Which is the biggest value? (a) 2 (b) -9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 13*v + 35. Let x be q(-10). Suppose x*b - 880 = 1855. Suppose 8*z - b = -115. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 41 = -5*s. Let g be (3\/6)\/((-1)\/s). Sort 5, g, 0 in ascending order.\nAnswer: 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68713*g**3 + 132*g - 132*g + 68510*g**3 - 1 - 137410*g**3.\nAnswer: -187*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31749 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Suppose 0 = -g*k - 5*i - 7, -i - 4 = 4*k + 3*i. Let n(x) = x**2 - x + 1. What is n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4464144316?\nAnswer: 2, 19, 4657, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -411, -507, -603, -699, -795?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = y - 28, 15*u - 170 = -5*y + 11*u. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9311, 19921, 30531, 41141, 51751?\nAnswer: 62361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67 + 67 + 2*w + (-2 - 4 + 4)*(-2*w + 4*w - 4*w) + 4 - 4 - 2*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 6*j**2 + 4*j + 23*j**3 - j - 22*j**3 + 1239*j**4 - 1 + 0*j**3 as o*j**3 + v*j + q*j**2 + p*j**4 + f and give p.\nAnswer: 1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2017640 is divided by 100.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182910.\nAnswer: 2, 3, 5, 7, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -593*m**3 + m**2 + 794*m**3 - m**2 + m**4 - 125 wrt m?\nAnswer: 4*m**3 + 603*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1024886 times 0.02\nAnswer: -0.002049772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 3. Let j be r(-3). Let k be (j + -1)\/((-1)\/2). Factor 0*a**2 - 2*a**2 + 3*a**2 + 3*a + 0*a**k.\nAnswer: a*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 2, a: 1, k: 1}. Give prob of picking 1 g and 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(-110)*(-4)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 = -3*k, -12*z + 13*z = 2*k - 12. Let o(i) = 13*i - 12. Let a(g) = 9*g - 8. Let w(c) = -7*a(c) + 5*o(c). Is 10 a factor of w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -77*c + 410. Determine g(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z = -60*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 7, -56, 0 in descending order.\nAnswer: 7, 1, 0, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 34. Solve -3*a = -s*a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v. Let j(a) be the second derivative of -a**6\/180 - 8*a**3\/3 - 12*a. Let r(n) be the second derivative of j(n). Give h(r(m)).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 37 - (2 - 1) - -1. Let t be 6*(29\/377 + (-615)\/(-117)). Let u = t - y. Let z(v) = -v. Give z(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 2a3?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 11*i**7\/30 + 46*i**3\/3 + 19*i**2 + 2*i. What is the first derivative of h(b) wrt b?\nAnswer: 308*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(19) - 4*sqrt(171)) + sqrt(76)\/sqrt(4)*-6 + (4 + sqrt(19) + 0 + 3*sqrt(19)*-2)**2).\nAnswer: -57*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.22498977 + -7.225. Round p to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14290, -29475, -44660?\n\"Answer: -15185*p + 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 279888 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1. Let g(r) = -1. Let p(f) = 5*g(f) - 6*h(f). Let c = 3 - 1. Let u(m) = -3*m - 2. Let d(v) = c*p(v) - u(v). Determine d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.468696 rounded to the nearest integer?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56150, 56149, 56148, 56147?\nAnswer: 56146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6284*d - 130 + 20820 = 5957 - 35539 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53313 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1170 and 2070.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 18*h = 4. Let k(q) = -q - 2. Let s be k(h). Suppose 2*f - 76 = -s*f. What is the highest common factor of 114 and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.793 - 0.207. Let w = -58 + 62. Which is the second smallest value? (a) w (b) -2 (c) -2\/5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrfrfr?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 + k. Let m be o(1). Let r = -1 + m. Suppose -4*b + 9 = l, 5*b - 4*l + 15 = -0. What is the lowest common multiple of b and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.3519 centimeters in nanometers?\nAnswer: 3883519000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**4\/4 - 2*m**3 - 5*m**2\/2 + 5*m + 32. Let h = -14 - -10. Let v = h + -1. What is r(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1492495*h**5 - 21*h + 14282?\nAnswer: 29849900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 10*u**2 - 1767*u**3 - 4*u**2 - 3*u**2.\nAnswer: -1767*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13 + 3*p - 4 - 9. Let i(k) = 11*k. Determine w(i(m)).\nAnswer: 33*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 equal to -190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201794 - 19521 = -3764*v - 19379 + 69072 for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/5 + 6672*m\/5 - 2672.\nAnswer: 4*(m - 2)*(m + 1670)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 588\/16 - 3\/(-12). Let v = l + -23. Differentiate y - 2*y - 16 + y - v*y**4 wrt y.\nAnswer: -56*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + 47. What is the highest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(91) + -6*(sqrt(91) - sqrt(91)*-1 - sqrt(91)) + sqrt(91))\/(sqrt(7) - (sqrt(567) + sqrt(63))\/sqrt(9) - 2*sqrt(28)).\nAnswer: 9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/9)\/f*f**(4\/7)*(f\/(f\/f**(1\/4)*f))**4)**(-23))**39 assuming f is positive.\nAnswer: f**(62491\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.303 from -1917190.\nAnswer: -1917190.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13176379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*s**4 + s**3 - 163*s**2 - 4*s + 6119371?\nAnswer: 124*s**3 + 3*s**2 - 326*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2389 (b) 29 (c) -4 (d) 2.01 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10976 or -8906?\nAnswer: -8906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**5\/7 + 1938*q**4\/7 + 9650*q**3\/7 + 9630*q**2\/7 - 9652*q\/7 - 11568\/7 = 0.\nAnswer: -964, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -4204.\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 99. Which is the nearest to -2\/3? (a) -0.2 (b) i (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 - 226 = -5*z - 14*o, -z + 4*o - 19 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 9.01.\nAnswer: 45.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzoz when four letters picked without replacement from zzjzzojjozzzjzzz?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -10*l**5 - 117822404*l**4\/3 - 115684292616848*l**3\/3 + 20566105018252*l**2 - 2570763454566*l = 0?\nAnswer: -1963707, 0, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1922, 3838, 5754, 7670, 9586, 11502?\n\"Answer: 1916*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 40*d**2 + 2*d - 64. Let u be o(40). Let m = -367 + 371. What is the highest common divisor of u and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 8, 115*r = 111*r + 4*v + 36. Solve 3*h - 3*z - z = -r, -7 = -3*h - z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 59 = -95. Suppose -4*d + 2375 = -a. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*i**3 + 412*i**3 - 141*i**3 - 136*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 2*r - 1. Let y be (-12)\/24*-2*6\/3. Determine h(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -4, -5, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.85 + -0.85. Which is greater: -14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (0 - 2) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/147092?\nAnswer: -5\/147092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h + 20. Let s(y) = -y**2 + 9*y + 12. Let m be s(h). Solve b = -0*b - 5*o - 5, 5*b = -2*o - m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - o - 3 = 0, -10 = -2*o. Suppose 0*f + 38 = f - 2*y, -3*f + 81 = 5*y. What is the third derivative of 0*u**d - f*u**3 + 43*u**3 + u**2 wrt u?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 27*v = 19. What is the units digit of (6\/(-6))\/(v\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 14. Let z = -8 + w. Suppose 24 - 30 = -3*s, -4*s + 14 = 2*v. Solve z*i + 4 = v*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1000011001?\nAnswer: 1000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*n**3 - 26*n**3 + 89*n**3 + 2*n**3.\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 11 (b) 2 (c) -1\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -1)\/((-18)\/(-12)). Suppose 9*o + 44 = 2*s + 11*o, -3*o = -9. Factor v - 10 + x*v**2 + v**3 - 9 + s.\nAnswer: v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125203.\nAnswer: 13, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 11) to base 8\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29 and 203.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.032 and -16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -3, -2, 5 in descending order.\nAnswer: 5, -2, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -52.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 14 = -n - 3*u, -32 = -4*n + 2*u. Let m be 84\/32 - 6\/(-16). Suppose -6*o = -m*o - n. Is o <= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + 0.0221.\nAnswer: 0.8221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13438, 13835, 14194, 14497, 14726?\nAnswer: 14863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42436 and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13591 - 1074. Suppose -10978 = -5*u + g. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 12 = 2*j. Suppose -2*h + 6 + j = 0. Let m = -6.3 - -6. Sort m, h, 1.2 in decreasing order.\nAnswer: h, 1.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 21*p = -15428. What is the least common multiple of p and 14?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128459 is divided by 124?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/5 + (4\/13)\/(970\/1261). Solve b*p + 3*l - 24 = 0, 31 = 5*p + 3*l - l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.0391535 to three decimal places.\nAnswer: 6.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 k, and 1 d when four letters picked without replacement from kdpwkjv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 221 = -21*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 246\/12 + 2\/(-4). Suppose -25 = 2*q - 5*c, -c - f = 3*q - 5*c. Suppose -7*t + 231 = -q*t. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -1597.68.\nAnswer: -1598.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 + 28568\/(-72)*-9 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**4 - 63*u**3 - 162*u**2 + 12*u + 216 = 0.\nAnswer: -18, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-4)\/8*8. Solve -z*p + 4*t = -8, -p = 4*p - t - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -82, -156, -262, -406, -594?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*c + 3156 = 0, 0*r - 5*c = 3*r - 2375. Suppose r = -4*p - 319. Let m = p - -409. Calculate the greatest common factor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*y + 413*y = 0. Suppose 2*m = 2*w - 0*w - 14, y = -4*w - m + 8. Let d = -2 - -5. Solve d*r = 2*l - 23, 3*l + 6 - w = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2581.9 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8110249 grams?\nAnswer: 811024900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536601.\nAnswer: 3, 13, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*q - 47*q + 63*q**2)*(-1 + 3 + 0)*(0*q - 2*q**3 + 0*q).\nAnswer: -252*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*u - u - 18, -3*i = -2*u - 27. Let o be (-2128)\/(-12) + 6\/i. What are the prime factors of (1\/2)\/(1\/o)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -4*i - 1\/4*i**4 + 42 - 5\/2*i**2 + 2*i**3. Determine b(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4436227\/66 + -67214. Find the common denominator of t and -167\/4422.\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-2040)\/(-180))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**7\/1155 - g**6\/660 - g**5\/330 + g**4\/132 + 5*g**2. Let j(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120113302 (base 6) to base 5.\nAnswer: -1033434233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*v + 144 = -42*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) 3 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -863083, -862902, -862723, -862546, -862371, -862198, -862027?\nAnswer: -861858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Suppose -p*h = -8*h. Suppose 0 = s + 3*c - 3, 5*c + 6 + 14 = h. Solve -k = 2*k + s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188 + -937\/5. Suppose 5*n = -f - 17, -3*f + 2*n + 9 + 8 = 0. Suppose h + f*h = 4. Which is greater: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -142, -193, -244?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20520291 divided by 3?\nAnswer: 6840097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*f**2 + 15*f**2 - 19*f - 7*f**2 + 13*f**2 - 1 wrt f.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 134, 227, 314, 395, 470, 539, 602?\n\"Answer: -3*m**2 + 102*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - -10. Let f be 2*42 - (2 + -4). Let z = f - s. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3702 + -3650.18. Let v = w + -0.82. Let c = v - 51.0000015. Round c to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-42) + -2 - (0 - 2)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3755, 8258, 12761, 17264?\nAnswer: 21767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - z - 1. Let i(n) = -4*n**2 - 2*n - 2. Determine i(b) - 2*s(b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 2.3?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -368194\/7 or -52600?\nAnswer: -368194\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-3)*22\/(-2310)*-18?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0204*-5\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41071 + -25374. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/126)\/((-8)\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481 + 231 = 156*t - 718 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/6*12\/42)\/(-7).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019169449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 9. Suppose 4*b + 4*v - 168 = 168, b - z*v = 64. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 - 1542*p**2 - 1544*p**2 + 3086*p**2.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -1)*44\/(-8). What is the closest to 2\/3 in -2, 7, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u + 100. Let v be g(-14). Let p(r) = 23*r**2 + 17 - 16 - 32*r**2 + 216*r**v. Let s(o) = o. Determine s(p(t)).\nAnswer: 207*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15198, -15983, -16766, -17547, -18326, -19103?\n\"Answer: i**2 - 788*i - 14411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -125, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26801, -26786, -26755, -26702, -26621, -26506, -26351, -26150?\nAnswer: -25897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 585 + -457. Calculate the greatest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227651?\nAnswer: 227651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-3825)\/(-51)))\/(6\/(-36)).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2900\/(-90))\/10 - (-12)\/4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13646*i - 13643*i + s - 13 = 2*s, -2*i + 2*i = -2*s - 26 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -23. Let f(n) = -n**2 - 10*n + 2. Let w be f(-8). What is the greatest common divisor of w and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**21\/n**(1\/20)*(n*n*n*n\/(n\/n**5*n)*n)\/(n**(-34)*n) assuming n is positive.\nAnswer: n**(1239\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.5 (b) 2\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2154, 3281, 1\/5 in ascending order.\nAnswer: 1\/5, 2154, 3281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 223 + -216. Let h be 1*(2 + -1)\/(d\/14). Calculate the highest common divisor of 26 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7684*g - 184399. Give t(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0) + 0 + 23. Suppose -3*b = 4*j - u, j + 34 = 4*b + 4*j. Let l be (40\/(-175))\/(4\/b). Is l > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8\/c**(-1\/17))\/((c*c**(-2))\/c*c)**(-37) assuming c is positive.\nAnswer: c**(-492\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x = 24*x - 31*x. Solve 2*b = 2*l - 2, -b + x*l - 1 = -4*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*v*v*v**(-18))\/(v**(-4)*v*v**(-19)) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.9, 0 in decreasing order.\nAnswer: 0, -0.5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25435066567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:25 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239 + -3583\/15. Is y != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55\/15 - (3 - 1). Let p = 62 + -62. Which is the closest to -1\/3? (a) y (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8157 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 10*f - 20. Let t be h(8). Is t less than or equal to -10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4))\/sqrt(4) - sqrt(5) - (sqrt(20) + 1).\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 859213113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 739556369 to the nearest one million.\nAnswer: 740000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47699255 and 12202135?\nAnswer: 524691805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, v: 1, d: 6, l: 2, z: 1}. What is prob of picking 1 f and 1 v?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-2 + -6 + -4)\/(-6 - (-4 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -b + 4, -1 = -2*i + 2*b + 3*b. Let s = -4 - i. Suppose 5 + 7 = 3*w, -s*w + 264 = 4*o. Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -17*q**5\/150 + 3*q**4\/5 - 4*q**3\/15 + 38*q**2 + 2. Let b(y) = 0. What is y?\nAnswer: 2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.9934 - -152857\nAnswer: 152868.9934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/(o*o**(1\/6))*o*o**(-2\/5)*o*o**(-5)*o*((o\/o**(-3)*o)\/((o\/o**6)\/o))**(-2\/79) assuming o is positive.\nAnswer: o**(-4373\/2370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 287672 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**5\/60 + 3*z**2 + 1. Let i be k(2). Solve 4*f = 4*c, 4*f + 3*c = i*c - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 699034 = -2*f, 2*s - 56164 = f - 405645. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) + 8\/3. Let h(q) be the second derivative of -q**5\/20 + q**4\/6 - q**3\/2 + q**2\/2 + q. Let a be h(2). Sort a, g, 1 in descending order.\nAnswer: g, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 - 766*a\/5 - 209432.\nAnswer: 2*(a - 940)*(a + 557)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7617892 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:52 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 78*a**2 + a. Let i(n) = 2*n**2. What is i(l(p))?\nAnswer: 12168*p**4 + 312*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53, -18, 17, 52?\n\"Answer: 35*y - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -418 and -5?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 32*w - 56.\nAnswer: -2*(w + 2)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 85c8?\nAnswer: 85c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r + 21 - 12*r - 2*r. Let v be w(15). Let l = 7 - v. Calculate the lowest common multiple of 18 and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 21263 and 6691662.\nAnswer: 6712925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188 - -132. Let h = -26 - l. Let z = -39 + h. Is z smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/35541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 787 times -2702\nAnswer: -2126474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4616044392.904 and 0.17?\nAnswer: 4616044392.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104.3 + 45. Let t = a + -143. Let f = 1.6 + t. What is f rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(18)*-1*-4 - (sqrt(288) - sqrt(288)*3))\/((sqrt(81) + 2*sqrt(81))\/sqrt(9) - (sqrt(576) - -2*sqrt(576))))**2.\nAnswer: 512\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -195, 1\/32, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/(-12)*3*152\/7.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972 is divided by 195?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 + 7*x**2 + 3*x - 9. Let a(m) = -m**3 - 3*m**2 - m + 4. Let t be -4 + 1 + -9 + -12. Let c = t - -17. Determine c*a(k) - 3*j(k).\nAnswer: -2*k**3 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55277542 divided by 2.\nAnswer: 27638771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 d when three letters picked without replacement from {s: 2, d: 2, w: 4, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000802 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + c + 27 = 6*c + 4, 0 = -2*c + 1 + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/12 + x**3\/6 + x**2\/2 + 8*x. Give c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26b + -36?\nAnswer: -2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g**(-2\/31)*g)*g\/g**(1\/3))\/((g*g\/g**(28\/5))\/g**(-2\/13)))**(-4\/7) assuming g is positive.\nAnswer: g**(-149368\/42315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + (-3)\/3)\/1. Suppose w + 9 = c*t, 2*w - 4 = -2*w. Suppose -3*f = -s - 0*s + 26, -80 = -t*s - f. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-951)\/1245810)\/(14\/(-140))?\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2587, 2593, 2601, 2611, 2623?\nAnswer: 2637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 divided by 4?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 20121*q**2 + 160776*q.\nAnswer: 3*q*(q - 6699)*(q - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-5)\/(-40))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 8*d**2 + 8*d + 1. What is s(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*l - 256040, a - 51208 = -28*l + 31*l. What is the greatest common factor of 296 and a?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*h - 10124, 8*u = 13*u - 5*h - 50635. What are the prime factors of u?\nAnswer: 2, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 + -10060?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:17 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 198880552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -70340, -140678, -211016, -281354?\n\"Answer: -70338*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 2*v + 77*v**2 - 2*v.\nAnswer: 77*v**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -99\/4. Let q = 2388 - 2385. Which is the nearest to h? (a) 21 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1.5.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43971, 11, 2, -363.\nAnswer: -43971, -363, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 7)\/((1\/83)\/1). Let z = -28 - m. Let n = -55 + z. Solve 4*p = -2*f - 16, -3*f + 2*f + 4*p + 22 = n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4 + 12. Suppose 0 = o - z*v - 0*v - 2, 0 = -4*o - 4*v + 44. What is b in -o*b**4 + 4*b**3 + 4*b**5 + 45*b**2 - 45*b**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = h + 8, -h + 0*r = 3*r - 13. Let f be 6 - (2 - -1) - -1. Let a(w) = -h*w**3 + w**3 + 6*w**2 - f*w + 2*w**3 - 7. Determine a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110110111011 (base 2) to base 12.\nAnswer: -b623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*p = -4268, 0*j = -5*j - 5*p + 5335. Suppose 293 - j = -6*v. Let s = v - 100. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 1456?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000819 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(5\/5770). Let s = w - 358. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 21*y**3 - y. Suppose 3*f + 139 = 1. Let s = f + 47. Calculate z(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002852 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 951 and 6423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 1. Let t(j) = j**3 + 7*j**2 + 13*j - 15. Let o(u) = 5*b(u) + t(u). Determine o(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.81 + 0.21. Let i = t + 0.6. Let b(g) = -6*g + 1. Let q be b(1). What is the third biggest value in q, 4, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/12*(-8)\/2. Let h be (-75)\/1518 + -2 + k. Let j = h - -3\/22. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3893782 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -265, -312, -391, -502, -645, -820?\n\"Answer: -16*s**2 + s - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(4\/10)\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 3*n + 3*n + n - 11*n.\nAnswer: -4*n + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -7*c - 15. Suppose -u = 4*u - c. Suppose -2*n + 121 = 2*r + u*n, 2*r - 116 = -4*n. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 52*r + 6. Let b(a) = 1247*a + 145. Calculate -6*b(m) + 145*h(m).\nAnswer: 58*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16625 and 28875250?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -2.2\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8177 or -8154?\nAnswer: -8154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2 - 1. Suppose -5*m + 115 = -4*f, -7*f + 106 = t*m - 2*f. Let z be 1\/(-2) + m\/6. Solve 2*y = -0 - z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*k = -8, -4*k + 1 + 3 = -4*s. What is the first derivative of -s*h**3 + 0*h**3 - 2*h**3 - 3 wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34, -28, -22, -16?\n\"Answer: 6*i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5103) - sqrt(5103))\/(sqrt(81)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22995.603 months in centuries?\nAnswer: 19.1630025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 0*l**2 - 2*l**2)*(6 + 6 - 10).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 161092 divided by -1?\nAnswer: -161092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -1.7. Let u = 144.1 + -800.1. Let w = u - -655.98. Which is the third biggest value? (a) n (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.1081?\nAnswer: -0.03243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3650 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 7*o**2 - 9*o + 31. Give b(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 23. Let t be l(20). Let k be (-2 - -5)\/(-6)*t*-2. Let g be (-2)\/k - ((-14639968)\/(-12) - -2). What is g rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c. Let u(f) = -89345*f**2 - 855*f. Let q(m) = 1901*m**2 + 18*m. Let b(l) = 190*q(l) + 4*u(l). Determine b(w(j)).\nAnswer: 15240*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841437382.\nAnswer: 2, 19, 23, 962743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-1\/4)))**(-11))**(7\/10)\/(s**(-4)\/(s\/s**8)*(s\/(((s\/s**(2\/7))\/s)\/s*s*s))**(-3\/38)) assuming s is positive.\nAnswer: s**(-5599\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Let p be 68\/(-22) - (18 - 0)\/(-6). Put b, p, -2\/9 in descending order.\nAnswer: b, p, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27e (base 16) in base 5?\nAnswer: 10023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270*n = 1277*n + 70 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032 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: Solve -26 - 9 = 5*w + 5*p, -5*w + 2*p = 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 1\/2*d**2 + 8*d + 32 = 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -2. Let c = 2412 - 2374. Let f be c + b - 2 - 2. What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -9 - (39 + -4 + -21).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 12 = 2. Let x(b) = -1 - d + 3 + 28571*b. Let u be x(-7). Round u to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/2*(-328)\/246.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/44694 and -7\/48.\nAnswer: 357552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n - 2*p - 7 = 0, -4*n - 4*p = 32. Let x = n + 35. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32, 159, 0.2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -628 or -629?\nAnswer: -628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddddyyyyydi?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28853 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3392 divide 200058668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x. Let v(w) = -63*w - 2148. Determine v(q(s)).\nAnswer: -189*s - 2148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + 1)*-2*-4 + -3 + ((sqrt(720) - (sqrt(720) - (sqrt(720) + -1) - sqrt(720)))*-3 - ((sqrt(720) - 1*sqrt(720)) + -4)))**2.\nAnswer: -1152*sqrt(5) + 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from {y: 4, w: 3, s: 7}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6178, 6179, 6180, 6181, 6182, 6183?\n\"Answer: h + 6177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**7\/280 - 3*y**6\/160 + y**5\/40 + 10*y**2. Factor p(s).\nAnswer: 3*s**2*(s - 2)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9679.12 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 - 12*u**2 + 4*u - 17. Let m = -37 - -42. Let c(v) = 2*v**3 + 8*v**2 - 3*v + 11. Let l(t) = m*o(t) + 8*c(t). What is l(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(204)\/((sqrt(18) + 1*sqrt(18))\/sqrt(3)))\/((sqrt(36)\/sqrt(3))\/sqrt(6) - 3*sqrt(18)) + 2)*-3)**2.\nAnswer: -3*sqrt(17)\/4 + 1177\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.56. Let i = 11 - 19.6. Let w = i - -6.6. Which is the second biggest value? (a) v (b) -1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d**2 + 16*d - 32. Let h(y) = -2*y**2 + 3*y + 0*y**2 - 6*y + 0*y**2 + 1 + 5. Let r(c) = -16*h(c) - 3*p(c). Let m(k) = 101*k**2. What is r(m(t))?\nAnswer: 20402*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 42 - (7 + -18 + 80 + -12).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133757596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1015 = -578*h + 607*h. What is the remainder when 1328 is divided by h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/226709 and 37\/7343.\nAnswer: 237817741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 139169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y - 240 = 6*y. Let o be 1\/(-2*1\/6). Sort o, y, 5 in increasing order.\nAnswer: o, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, -56, -61, -66?\n\"Answer: -5*b - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -17*g - 1. Let y be ((-16)\/3)\/(-16)*3. Let v(d) = -d + 1. Give y*v(r) + z(r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {u: 3, s: 1, g: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8 = h, 4*a - 4 = 6*h - 9*h. Put -4, -3, 5, a in ascending order.\nAnswer: -4, -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4453 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18938 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**3 + k + 1. Let y be u(-1). Let n = -9 - -16. Solve -3*b + n = 2*p, -p - 5*b + 15 = y*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -122346360 + 1703.\nAnswer: -122344657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.906 - 0.094. Which is greater: l or -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 2\/(4\/(-10)). What is the third derivative of -2*c**3 - 7*c**2 - 5*c**5 + 2*c**r wrt c?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16089, -32967, -51407, -72189, -96093, -123899, -156387, -194337?\nAnswer: -238529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -8*s**5 + 106*s**4 - 117*s**3 - 40*s**2 + 47*s + 12 = 0.\nAnswer: -1\/2, -1\/4, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**4 + 1905*u**3 + 1880*u**2 - 7620*u - 7600 = 0.\nAnswer: -380, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**3 + 3074*t**2 - 2*t - 5736?\nAnswer: -12*t + 6148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40 = c. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 1 - (-12 - -11 - 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*(-93)\/124)\/((-122)\/2). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3649, 3652, 3657, 3664, 3673, 3684?\n\"Answer: t**2 + 3648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 3}. Give prob of picking 2 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 705 + -690. Solve u = -54*i + 49*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnh when three letters picked without replacement from {n: 1, h: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3251\/30 - -344\/3. Find the common denominator of -21\/58 and v.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1.4. Let h = -11 + 11. Let w = -0.1 + h. Is w at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {j: 1, g: 2, s: 2, k: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -16.3. Let d = -18 + w. Which is the closest to 1? (a) -0.2 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.5 - 88.5. Let s = -74.4 - v. Which is the nearest to 9? (a) s (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 354\/16*(-48)\/(-324) and -85\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l - 17*l - 7*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40485, -80971, -121457, -161943?\nAnswer: -202429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1227*d - 74758. Calculate q(61).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 9)*(-5 + 4). Let w = x - 7. What is the smallest common multiple of w and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - d**2 + 4*d**2 - 8*d**3 as y + u*d**3 + w*d**2 + a*d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 3*t**4 - 5*t**4 + (-6*t**3 + 2*t**3 + t**3)*(0*t + 0*t - 2*t) + t**4 + 2*t - 2*t + (t**3 - t**3 + 2*t**3)*(-t + 4*t - 4*t).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0, 2, -6, -3, 7, -19.\nAnswer: -19, -17, -6, -3, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 5. Suppose 0*k + x*k = 0. Which is smaller: k or 2\/25?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2976 + 0.2976. Sort -20, -39, p in decreasing order.\nAnswer: p, -20, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176192921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(63\/(-70))*(-2)\/(-4).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -248.5, -3\/5, -5, -9 in decreasing order.\nAnswer: 5, -3\/5, -4, -5, -9, -248.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413630008.\nAnswer: 2, 11, 4700341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -340*l + 29916. Let u be s(88). Let k be (-10)\/(-42) - 2\/(-6). Which is the biggest value? (a) -0.3 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2564 - 3?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1563 - 1557. Solve -b + 5*n = -o*b - 10, -n = 2*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 8508 = -8564 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 0.8 (c) 19 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/20 and 3\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66290 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/30 + 4*j**5\/15 + 5*j**4\/6 + 4*j**3\/3 - 71*j**2. Factor c(g).\nAnswer: 4*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101142113 (base 5) in base 11?\nAnswer: -26172a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 2*y = -17*p - 32, 2*y + 12 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 336 + -315. Let y be b\/7 - (-3)\/(-1). What is the fourth biggest value in 1\/12, y, 0.5, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -2\/5, 0.7, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8069 is divided by 237?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 8) + (-5 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75818 and 1002?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Which is the biggest value? (a) -3\/2 (b) 0.02 (c) n (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s - 16*s + 322 = 0. Solve -12 + 26 = s*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v - 1. Let c(q) = -12*q**2 - 3*q - 2. Suppose 9 = 6*j + 3. Determine j*c(y) - 2*w(y).\nAnswer: -10*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476600812 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63*g**4*o**2 + 2*g**4*o + 2*o**2 - 1 wrt g?\nAnswer: 252*g**3*o**2 + 8*g**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 14 - 17 = 0. What is the nearest to q in 3\/4, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-1\/2))**33\/(m**1)**(-3))**(1\/39) assuming m is positive.\nAnswer: m**(57\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 8*k**2 - 11*k - 57. What is x(10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1144 - -7972\/7. Calculate the common denominator of y and 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (7 + (21 - 6))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 55. Calculate the greatest common divisor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 2:55 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 7*m**2 - 12*m - 5. Let s be o(-6). Solve 0 = s*n - 28*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11722, -11742, -11762, -11782, -11802?\nAnswer: -11822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -h + 480, p - 11*h + 10*h - 120 = 0. Let c = 128 - p. Calculate the remainder when 487 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -285\/4. Factor 3\/4*m**2 - i + 0*m.\nAnswer: 3*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86623429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12408587*g**3 - 2638815*g**2 wrt g?\nAnswer: -74451522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 8*w - 9. Let d be z(-6). Let i(b) be the second derivative of b**2 + 0 - 1\/18*b**4 + 2\/9*b**d - 2*b. Factor i(k).\nAnswer: -2*(k - 3)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*r = -36, -2*r + 32 = 4*g - 2*g. Let l be (-2)\/g + 85\/(-30). Let a(v) = -482*v - 7. Is a(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10744826?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 65. Let v(b) = -21*b - 27. Let s be v(-6). Let j = -49 + s. Calculate the remainder when j is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -885, -1653, -2301, -2829, -3237?\n\"Answer: 60*s**2 - 948*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4 - 51625*y**3 + 206439*y**2 + 2322945*y = 0.\nAnswer: -5, 0, 9, 51621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qiiiiiiiiiqi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3475889.49 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21909, -21908, -21907, -21906?\nAnswer: -21905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 25.74. Let c = -1.26 - s. Let j = 4 + -3.7. What is the smallest value in -0.02, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.8706 - 0.1294. Put -4, 3, y, -3 in ascending order.\nAnswer: y, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 35 = 382*k - 387*k + 3*m, -k - 36 = -2*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14788163, 29576248, 44364333, 59152418?\n\"Answer: 14788085*d + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-40))\/(((-1)\/6)\/(4\/(-6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + w = 0, -7*y - 5*w = -10*y - 16. Let o(m) = 17*m + 20. Let v be o(2). Sort v, y, 3 in increasing order.\nAnswer: y, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-1\/6)))**35\/((t**(-9\/4)\/t*t)\/(t*t*t*t**(-2\/29))) assuming t is positive.\nAnswer: t**(-227\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/33 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 80, -1, 3\/4, 0.619, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * -16.1382\nAnswer: -24.2073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r + 1279 + 779 = -97*r - 668 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2365253227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -23. Suppose 1 = -q*t + t. Solve d - 2*j + t = 0, -d - 2*j = 2*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026551 to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 17*m**2 - 17*m - 5. Let c be d(8). Let g = -431 + c. Solve 0 = -4*y - 2*r - 26, y + r = -12 + g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i = 19*i + 12. Let u be i\/(-14) + (-321)\/(-21). Do u and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 2068 + 4004 = 0. List the prime factors of m.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/6)\/(-12)*(-4)\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**3*o**2 + 3*k**3*o + 248*k**2*o**2 - 10*k*o**2 + 15*k*o + 7*o**2 wrt k?\nAnswer: -54*k*o**2 + 18*k*o + 496*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -9*p**3\/2 - 110*p**2 - 22*p - 4. What are the prime factors of t(-18)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 10*z - 27. Let q be 140\/16 + 1\/4. Let i be j(q). Let n = i + -38. Let a(y) = y**3 - 7*y**2 - 1. Calculate a(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0, -2 in decreasing order.\nAnswer: 20, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(171) + sqrt(171)*1))\/(1*sqrt(1296)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.32 + -0.32. Sort -4\/3, 0.1, x in ascending order.\nAnswer: -4\/3, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/28*(-35)\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3. Let y(b) = -b + 2. Suppose 0 = -8*f + 12*f - 16. Let k(l) = f*y(l) - 3*h(l). What is k(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3906016)\/72 - (-14)\/63. Round f to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.548029 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8199, -16415, -24631, -32847?\n\"Answer: -8216*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1582*u - 15*u**3 + 1582*u + 34*u**2 - 2 + 2*u**5 wrt u.\nAnswer: 120*u**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d. Let f(x) = x. Let i(w) = 7*f(w) + 2*t(w). Let c(n) = 18*n. Give c(i(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**2 + d + 77. What is y(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2. Let q(z) be the third derivative of z**5\/20 + 5*z**2. Give q(t(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/8 + 25*l**3 + 1875*l**2 - 448*l. Factor b(w).\nAnswer: 3*(w + 50)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12102000012 (base 3) to base 9.\nAnswer: 172005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 39 = -31. Solve 3*h - 23 = -l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 942659251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/16335 and 62\/194535.\nAnswer: 2139885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177 (base 14) to base 13.\nAnswer: -1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16768224 and 20619.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a tonne in kilograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 6:37 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366224 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 19*z**2 - 63*z - 7. Give u(4).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 94*x - 96.\nAnswer: 2*(x - 48)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r**2 + 98*r - 621. Let i be f(7). Calculate the greatest common factor of 128 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by -64?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132143 - 197453. Round m to the nearest one thousand.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3832410*g**5 + 932409*g - 3 wrt g.\nAnswer: 76648200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*b**5 - 229*b**4 + 233*b**3 + 89*b**2 + 6*b = 0 for b.\nAnswer: -3, -2\/9, -1\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421*z + 5012 = 4*x + 416*z, x = -2*z + 1266. Calculate the highest common factor of x and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7113*h + 4*h**2 - 3*h**2 - 29 - 1.\nAnswer: h**2 + 7113*h - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**6\/135 - a**5\/18 - 4*a**4\/27 + 16*a**3\/9 - 23*a. What is y in f(y) = 0?\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k)**(-1\/5))**(1\/9) assuming k is positive.\nAnswer: k**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u + 10. Let a(s) = 16*s + 7. Let t be a(u). Suppose 2*x - 3 = t. What is the highest common factor of 105 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 11 - 120\/(14 - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.16 + -3.16. Which is the third smallest value? (a) j (b) -0.5 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/7)\/h)\/(h\/h**(3\/8)))**(-40)\/((h**(-2))**(-4\/25)\/(h**(-1\/4))**(1\/20)) assuming h is positive.\nAnswer: h**(229069\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 2569*p**2 + 29 - 43 + 12.\nAnswer: 2569*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0364317046 rounded to four decimal places?\nAnswer: 0.0364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, l: 4, a: 1, d: 2, v: 2, c: 2}. Give prob of picking 1 c and 1 d.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.109, 1\/4, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00982572 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/5)*g**(-6)*g*((g*g\/g**(1\/2))\/g)**(-14) assuming g is positive.\nAnswer: g**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from {o: 15, b: 4}?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -14*a + 3. Let h = 5 + -20. Let w be -3*2\/(-15)*h. Let g be k(w). What is g rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29230632 divided by -12.\nAnswer: -2435886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/(sqrt(44)\/sqrt(4)) + sqrt(36))\/(sqrt(12) + sqrt(120)\/(sqrt(60)\/sqrt(6))) - (sqrt(126)\/(sqrt(7)*-3))\/(-5*(sqrt(6) - sqrt(24))))**2.\nAnswer: 256\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0151 (b) 3 (c) -0.2 (d) 20 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297795 is divided by 4517?\nAnswer: 4190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 40 + (2 + 1 - (46 - 12 - 41))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*m*p*y**3 - 23*m*y**3 + 3*m*y**2 - 4*m*y + 379*p*y**3 + 3 with respect to p.\nAnswer: 44*m*y**3 + 379*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2 - 2*b + 1. Let h be p(1). Suppose 0 = 3*o - 11 + 26. Let x = o - h. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 3:58 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/9 - ((-48)\/(-9) - 4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47487145 to the nearest integer?\nAnswer: 6891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + 0.05. Let w = -0.67 + 0.21. Let m = w - -0.06. Which is the second biggest value? (a) x (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w + 9*w - 3*w + 15*w.\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.54202139 + -39.56902. Let h = -0.027 - f. Round h to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4678 + 10160. List the prime factors of u.\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 - (58 + -50).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovee when four letters picked without replacement from koeooeeovvokv?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -27*u + 1. Let a be k(-6). Let g = a + -107. Suppose 0 = 4*o + 2*l + l - g, 2*o - l = 18. Calculate the remainder when 19 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301 by 2.\nAnswer: 301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h**3 - 3*h**2 + 3*h**2)*(h - 4*h + 4*h) + 0*h**2 + 0*h**2 + 2*h**4 + 3*h**4 - 3*h**4 + 3*h**4 + h**4 + 2*h**2 - 2*h**2)*(248*h + 865*h + 382*h).\nAnswer: 10465*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2482 + -1226. List the prime factors of n.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3998, 12538, 26758, 46652, 72214, 103438?\nAnswer: 140318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m**(-20)*m*m*m)\/m)\/m**(-38))\/((m*(m\/(m*(m\/(m**8*m)*m*m)\/m*m))\/m)\/(m\/(m**(-35)*m))))**16 assuming m is positive.\nAnswer: m**800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(35) - sqrt(315)*3 - (-1*sqrt(315) + sqrt(315)))\/(3*sqrt(14)\/(2*sqrt(2) - sqrt(2))).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 0*a**2 + 2*a - 2\/3*a**3 - 5. Differentiate u(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47119596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 285*d + 515. Calculate m(-2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296159.\nAnswer: 3, 432053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -56090144?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129*k**4 + 4*k - 5 wrt k.\nAnswer: -1548*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s - 35. Let x be o(-5). Let n(g) be the first derivative of x*g**3 + 4 + 4*g + 0*g**2 - 3\/4*g**4. Differentiate n(w) with respect to w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**3\/6 + b**2 + b + 10. Let o(f) be the first derivative of m(f). Determine o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13 - -3.87. Let r = b - -10. Let g = -17 + r. Put 4\/5, 1\/7, g in increasing order.\nAnswer: g, 1\/7, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12 - (-4)\/(0 + -2). Let t = 16 + y. Suppose -i + 0*c + 49 = 3*c, -t*i + 89 = 3*c. What is the highest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/31, -0.2, -135\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 20, -356*j = -352*j - c + 40 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - 16\/(-3). Suppose p*g - 9 = 11. Suppose 3*c + 2*i = 1 + 2, 5*i = -4*c + 4. Sort c, g, 5 in descending order.\nAnswer: 5, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1403, 1, 0.005 in ascending order.\nAnswer: -2\/1403, 0.005, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8366485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106392 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n + 5. Let v(p) = -p - 7. Let q be v(-8). Let b(y) = 1. Let h(t) = q*j(t) + 6*b(t). What is the first derivative of h(d) wrt d?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1386 or -2\/9?\nAnswer: 1386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 744345607.16.\nAnswer: 744345608.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.079? (a) 1\/9 (b) 1\/3 (c) 1\/2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 + 709*p**3 + 17*p + 6 wrt p?\nAnswer: 12*p**2 + 4254*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/11 and 38\/1481?\nAnswer: 16291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -171672 = -171663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20157035359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 5845 - 5841 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*p - 62, -3*l - 3*p - 18 = -0*p. Let m = l + 18. Calculate the highest common divisor of 128 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3786 divided by -1.\nAnswer: -3786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 3.\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7659 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*j - 9*j - 210 + 210)*(-3*j**2 + 3*j**2 - 3*j**2) as u + w*j + x*j**2 + m*j**3 and give m.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(32\/(-6)))\/(2047\/184 + -7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 5*y - 8 - 2*y + 3*y + 0*y + (5 + 0 - 3)*(2*y + y - 2*y) + 3*y - 2*y + 0*y - 4*y + 3*y + 0*y + 2*y + 3 - 3.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 394 divided by 21\nAnswer: 394\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-81)\/(-2))\/(2\/4). Suppose -2*q = -3*g - 101, 106 = -3*q + 5*q - 2*g. Let a = h - q. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138\/37 + 563\/518. What is the common denominator of (-2)\/15 - (-2 + 184\/45) and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + y**2 + 2*y. Let r be n(2). Suppose 68*d - 63*d - 110 = r. What is the highest common factor of 77 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.038 + 67.038. Let r = -67.0000008 + s. Round r to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (466\/(-24) + (163 - 144))*20\/(-1)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 161*v + 1024. Give d(-6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65.1 - 66. Let i = 0.04 - -1.06. Let s = i - w. Put s, -4, 4 in descending order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j - 21. Let p = j + 24. Suppose v = p*q - 654, 4*q - 1093 = -3*v - 221. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713525 is divided by 365?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -14 - -6) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*3 - 1995\/135) + 6. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {o: 2, p: 1, n: 1, s: 1, l: 1, x: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 543403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -40*k**4 + 40*k**3 - 10*k**2 + 7*k + 7. Let b(v) = -20*v**4 + 20*v**3 - 5*v**2 + 3*v + 3. Let z(q) = -7*b(q) + 3*j(q). Factor z(w).\nAnswer: 5*w**2*(2*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 3*r**3 - r**3 + 2 - 6*r**2 + r**3 + 6*r**2 + 3*r + r**3 - 3*r + (0 + 0 + r)*(0*r + r**2 + 0*r) + 6*r**3 + 0*r**3 - 4*r**3.\nAnswer: 7*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21711 is divided by 93?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = t + 5, 5*h = -t - 11. Let o(y) = -3*y + 2. What are the prime factors of o(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 571.99 + -574. Let m = z - -1.51. Which is the closest to 2? (a) m (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1136000 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 158.279 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 130 = -3*h, 46*n - 27*n - 156*h + 146 = 26*n - 159*h for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -763.6185964 rounded to the nearest integer?\nAnswer: -764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 26434*g**2 + 343642*g + 3. Give a(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1646 + 12703*d - 12522*d + 1647.\nAnswer: 181*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 6, 5*l + 35*z = 31*z + 10017. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156133, 312665, 469213, 625783, 782381, 939013, 1095685, 1252403?\nAnswer: 1409173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three eighths of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 12 - 68. Are t and -8 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 - 11*t**5 + 110 + 8*t**5 + (-4*t + 5*t - 3*t)*(-2*t**2 + 2*t**2 + t**3)*(t - 3*t + t).\nAnswer: 3*t**5 + 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -23. Suppose -3 = p*z - z + 3*a, a = -5. Suppose 0 = 3*s - 2*o - 5, -2*s + 2*o - 2 = z*o. Put s, -1, 4 in increasing order.\nAnswer: -1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 173 = 16*s + 3*a, -2*a = 3*s - 505. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -811*g - 3845. Let w be p(-5). Solve -90*z = w + 240 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 23*p - 5. Let y(v) = 5*v**2 - 22*v - 6. Determine -4*l(j) + 3*y(j).\nAnswer: -j**2 + 26*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.233 * -0.0626.\nAnswer: 0.7031858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 103.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2739 - -0.1739. Let a = 0.48 - 0.29. What is the second smallest value in a, m, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/((v**(-2\/13)*v)\/v)*(v**(2\/17)*v)**(-1\/11))**(9\/5) assuming v is positive.\nAnswer: v**(-64494\/12155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4026*h**4 + 6193*h**2 - 16 + 3721*h**2 + 16 + 5264*h**4 wrt h?\nAnswer: 222960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 8*c**2 + 11*c + 8. Suppose 3*a - 21 = -3*g, -2*g + 3*a + 0*a = -24. Calculate the lowest common multiple of r(g) and 14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1403 or -1?\nAnswer: -1\/1403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 5) in base 14?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 + 22*s - 22*s)*(5 - 15 + 6*s**2 - s + 8) as m*s + v + i*s**4 + a*s**2 + y*s**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:42 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/147 and 173\/880236.\nAnswer: 880236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.008 + -39.008. Let s = -32.5 - o. Let b = -6.4927 + s. What is b rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 2*z**2 - 3. Let i be 6\/4*(-2)\/1. Let q be v(i). Suppose q*a - 4*a - 4 = 0. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**4 + 8*d**3 + 64*d**2 - 128*d = 0.\nAnswer: -4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 305108, 610147, 915150, 1220123, 1525072, 1830003?\n\"Answer: r**3 - 24*r**2 + 305104*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 12*i - 9. Let g be j(-11). Let s = 145 + 21. Suppose -s = -g*v - 0*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3913 + 8521. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**3 - 3*a**3 - 2*a**3 + (4*a**2 + 2*a**2 - 5*a**2)*(3 - 3 - 2*a) in the form n*a**2 + q*a**3 + j*a + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-579.\nAnswer: -1737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/9, -5, -112?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-42)\/24)\/((-2)\/72). What is the greatest common factor of g and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssstassssssssssasa. What is prob of picking 2 s?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**4 + 5040*i**3 + 2*i**2 + 2*i - 44003 wrt i.\nAnswer: 96*i + 30240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 74*o - 260. What is y(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 545*g**2. Let a(t) = -182*t**2 - 141. Determine a(f(i)).\nAnswer: -54058550*i**4 - 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120365*n - 20487 wrt n?\nAnswer: -120365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/a*a\/(a*a**(4\/7))*a*(a*a\/(a\/((a*a*a**(7\/2)*a)\/a))*a*a*a)\/a*a*a**(-4)\/a assuming a is positive.\nAnswer: a**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 + 3*n - 4. Suppose -i - 2*i = -18. Let h be ((-16)\/i + 3)*-9. Is 16 a factor of p(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15925977 - 6.\nAnswer: 15925971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-22) - ((8 - 744\/90) + 13702\/15345)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**8\/56 + 25*n**7\/42 - n**6\/24 + n**5\/30 - n**4\/24 - 145*n**3\/6 - 1933*n**2. Find the third derivative of j(a) wrt a.\nAnswer: 360*a**2 + 3000*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/5 + 189684*t**3\/5 - 8994815278*t**2\/5 - 17990199612*t\/5 - 8995194649\/5 = 0 for t.\nAnswer: -1, 94843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45517 or 53?\nAnswer: -45517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 30854*p\/3 + 237992329\/3.\nAnswer: (p - 15427)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*n = -1316 - 3156 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 3*q**2 - 4*q. Let g be f(4). Suppose 11*d - 8*d + 21 = g. Let m = -6 - d. Which is bigger: 1\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -484, 38, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 658, -37, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*j + 1 - 6*j + (-3*j + 0*j + j)*(-1 + 6 - 2))*(-2*j + 4 - 4 - j - 3 + 3 + (1 + 0 + 0)*(-2*j + 3 - 3)).\nAnswer: 40*j**2 + 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 37818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11989154 to the power of 1\/2, to the nearest integer?\nAnswer: 3463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/243*(-16290)\/(-5792)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 4334?\nAnswer: 147356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1611)\/(-33) - 8\/(-44). Let u = -87\/2 + j. Calculate the common denominator of u and (-1)\/(-4) + (-1068)\/240.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138065 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 47*f**2 - 53*f - 241. Calculate x(-48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 774070779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23 - 0.2300044. What is z rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1008 + 2*j + 1171 - 3*j + 0*j + 9405.\nAnswer: -j + 9568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*j + 114*j + 6*j.\nAnswer: -483*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (62 - 62)\/(0 - -1 - 0). Suppose -4271 = -m + 7*a - 3*a, 5*m + 4*a - 21355 = s. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*z**4 + 0*z - 1\/2*z**5 - 1\/3*z**2 + 0 - 7\/6*z**3 = 0. Calculate z.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 81.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 48 - (7 - -1) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0204 (b) 0.03 (c) -3\/2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -327536, -655922, -985156, -1315238, -1646168, -1977946, -2310572?\n\"Answer: -424*d**2 - 327114*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566138 divided by -2058?\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 3*g**2 - 2*g. Let n be (-13)\/5 - 4\/10. Calculate the remainder when 9 is divided by m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -72*x**3 + 3*x**2 + 8*x - 1. Let k(r) = 24*r**3 - r**2 - 3*r. Calculate 3*c(b) + 8*k(b).\nAnswer: -24*b**3 + b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56536 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 divided by -2?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 11 + -2 - -3 - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**2 - 4*h**2 + 0*h**2 + (-3*h + 3*h - 2*h)*(-h + h - 3*h))*(-148 + 83 - 4*h + 0*h) to the form j*h + t*h**2 + f + w*h**3 and give t.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 25. Calculate the remainder when (-1 - -46)*(-16)\/(-20) is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10308143.\nAnswer: 10308143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6*a = -a, 0 = 4*c + 4*a + 16. Sort c, 4, -2 in decreasing order.\nAnswer: 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/17)\/((s\/s**(-5\/3))\/s) assuming s is positive.\nAnswer: s**(-79\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13e8a (base 16) in base 2?\nAnswer: 10011111010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*a - 9 = 2, 2*a = 5*l + 9. Suppose 10 = 5*d - 5. Put l, d, 2 in descending order.\nAnswer: d, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 21363 = 3*c, 466*c - 469*c + 21360 = -3*v. List the prime factors of c.\nAnswer: 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 391*y**2 + 16*y**4 - 389*y**2 - 5 + 14*y**4 + 23*y**4 - 54*y**4 - 5*y - 3*y**3 as a + l*y + b*y**4 + k*y**2 + w*y**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -467, -464, -459, -452, -443, -432?\n\"Answer: m**2 - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416712091 to the power of 1\/2, to the nearest integer?\nAnswer: 58453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 15*u = 0. Solve 0 = -2*n - u*n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -729.517 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {e: 1, g: 1, u: 2, b: 2, t: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 30 = 2*s. Calculate the least common multiple of s*(2 + (-7)\/3) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 11*d - 22. Let r be h(5). Suppose -r*y + 4*y + 12 = 0. Solve -y*o - 5 = 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -0.4 (c) -3.69 (d) 2.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 2, b: 1}. Give prob of picking 1 h and 1 s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -279765 divided by 6217\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34891 and 7?\nAnswer: 244237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 11:06 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(153)*-6 + (sqrt(425) - sqrt(425)*-1)**2).\nAnswer: -10200 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -1 (c) 1 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6716 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**2 - 11*n**3 + 28*n**3 - 2*n + 6*n**2 - 15*n**3 to q*n + x + p*n**2 + i*n**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17 + -21 + (54 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*t + 556, 3*t - 3*b - 834 = -5*b. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22139 or 22107?\nAnswer: 22139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 1. Let t(q) = -q**4 - 8*q - 9. Let k(g) = 5*t(g) - 40*v(g). Differentiate k(j) wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1100?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 8:02 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23832.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -23. Let i be (22\/r)\/((-2)\/(-12)). Solve 2*x - 2*n = i*x - 6, -x + n = -7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123 and 1954716?\nAnswer: 1954716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 839.385 tonnes?\nAnswer: 839385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -414520 (base 9) to base 14\nAnswer: -65984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -19. Suppose 179 = 2*o + 3*o - k*s, -3*s = -3*o + 111. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3*d - 14, -3*d - 961 = -3*y - 991 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1557*o - 146147 = -48056 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.268 + 0.4. Let w = -0.6 + n. Round w to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -134, -318, -586, -944, -1398, -1954?\nAnswer: -2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47583 is divided by 23790.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2027 - 2001. Let d = 38\/45 - 4\/9. What is the nearest to d in 3, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(891) + 0 + (sqrt(891) + 0)**2 + sqrt(891) + -3) + 1*(2 + (sqrt(891) + -5 + (1 + sqrt(891))**2 - sqrt(891))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212 + 214. What is the third derivative of 39*t**3 + 53*t + 37*t**3 - 53*t - 31*t**j wrt t?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a67e (base 15) to base 6\nAnswer: 4002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -17*i**2 - 4*i + 4. Let x(a) = -130*a**2 + 3 - 3*a - 122*a**2 - 125*a**2 + 361*a**2. Give -3*k(g) + 4*x(g).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 979 divide 2504982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 14*x - 168. Let s be a(-36). What is the greatest common divisor of 30 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**4\/12 + 4*z**3\/3 + 3*z**2\/2 + 3*z. Let k be p(8). Factor 2\/3*i + 0 - 2\/3*i**4 + 2\/3*i**2 - 2\/3*i**k.\nAnswer: -2*i*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1002, -1, -15 in descending order.\nAnswer: 1002, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038971 rounded to six dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2, 2, -3, 4, 162 in descending order.\nAnswer: 162, 39, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.681685 times 2.1?\nAnswer: -5.6315385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10074124997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*n - 51 = 0, 4*s - 5*n - 87 - 42 = 0. Suppose 3*a = -h - 22 + s, h = 4*a - 14. What is the biggest value in h, -0.3, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37270 or 37266?\nAnswer: 37266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 18 - 13 + 12 in the form w*m + h and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 32. Let d(t) = -7*t + 53. Let a be d(7). Suppose 0 = a*g - 22 - o. What is the remainder when 18 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8703, -8713, -8729, -8751, -8779, -8813?\nAnswer: -8853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bczbbbsbc. Give prob of picking 2 c and 1 b.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000341 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10763 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3867.1, 4, -8, 133?\nAnswer: -3867.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 45540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) 2 (c) 0.019 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 40*v - 40. Let y be o(-22). Solve 5*a + y - 23 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.649 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0595 - 0.01.\nAnswer: -0.0695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, v: 2, a: 1, y: 1}. Give prob of picking 2 v and 1 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-10))\/((-468)\/390). Let o = 15 + -15.3. Let v = -1 + 1. What is the nearest to n in 0.2, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6480) - 2*(sqrt(6480) + sqrt(6480)*-2)) + 5*(sqrt(6480)*2 - sqrt(6480)))\/(1*sqrt(81)*3 + (sqrt(81) - sqrt(81)*-1)*4).\nAnswer: 32*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 1\/47 (c) 8\/9 (d) 3 (e) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -118620*c. Let q(b) = 31*b**2. What is x(q(r))?\nAnswer: -3677220*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2523 - 261 = -174*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2086 and 24883.\nAnswer: 348362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k - 38099 = 55021. Is 1452 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p + 54*p - 23*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 133131?\nAnswer: 59\/133131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Suppose -a*h + 21 = -27. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a**2. Let u(w) = -810*w**2 + 82*w - 145. Give u(p(s)).\nAnswer: -39690*s**4 - 574*s**2 - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 400 = 3*q - 4*a, 2*q = 5*a + 282. Suppose 0 = 4*m - 0*m - q. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 354*p**2 - 6*p - 1. Let f(v) = 350*v**2 - 10*v - 2. Give -3*f(g) + 4*l(g).\nAnswer: 366*g**2 + 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4861, -9811, -14777, -19765, -24781, -29831, -34921, -40057?\nAnswer: -45245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2169 and 450.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-6)*((-561)\/(-110) + -5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - 111100000?\nAnswer: -111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*w - 1005, -603 = -3*w + c - 2*c. Let m = w + -161. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/12 - 2*v**2 - 14*v. Let b(k) = 5. Give 4*b(q) + 5*r(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 0*t + t)*(-2*t**2 + 1 - 1) + 35*t**3 + 395*t**2 + 9540346*t - 9540346*t - 1 to the form k*t**3 + z + a*t + v*t**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -21452?\nAnswer: 21503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -331936 divided by -44\nAnswer: 7544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 89*j**7\/210 + j**6\/60 + 1077*j**3\/2 + 1473*j**2 + 2. What is the first derivative of b(t) wrt t?\nAnswer: 356*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1888, -1883, -1874, -1861, -1844, -1823?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1784, 7.\nAnswer: -1784, -5, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 70, 340, 906, 1876, 3358, 5460?\nAnswer: 8290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/9177 and -62\/1463?\nAnswer: 100947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*u - 272 = 0, 2 = 8*u - 9*u. Let c(p) = -52 + 104*p + 48 - y*p. What is c(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 275506, 1 in descending order.\nAnswer: 275506, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -750 + 780. Suppose 24*o = -x*o + 18144. What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39965466*x - 21980729 with respect to x.\nAnswer: -39965466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*z + 48 + 84. Solve -15 = -3*g - i - z, i = -5*g - 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -2*w**3\/3 - 3*w**2\/2 - 38*w. Let l(z) = -3*z - 4. Calculate 3*l(i) - 4*r(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*m + 51769, 2*k - 15769 = -4*m + 10109. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 893*l**3 + 34*l - 3 wrt l.\nAnswer: 5358*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q + 2. Let f(v) = -74*v + 74*v - 3*v**2 + 4*v**2. Calculate the smallest common multiple of 6 and f(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5473 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:14 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270968, 541935, 812900, 1083863, 1354824?\nAnswer: 1625783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-4)\/(-22) - 28\/33). Is (1 + w\/((-2)\/(-29)))*2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 26. What is the tens digit of 1\/((-1)\/(0 - l))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0711021km?\nAnswer: 71102100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2300, 19038, 64492, 153026, 299004, 516790, 820748?\nAnswer: 1225242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -13. Let b be 0 + -2 - -2 - t. Let a(y) = -y**2 - 4. What is a(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -1684.1193.\nAnswer: -28630.0281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69376, -277497, -624370, -1109995?\nAnswer: -1734372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -71, -2, 10 in ascending order.\nAnswer: -71, -46, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 > -182017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 405 and 360?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*t - 46 = -552*t + 2*g, 156*g = 2*t + 332 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*z = -z - 24, 4*x - 40 = 4*z. Let j(s) be the first derivative of -s**3\/3 + 4*s**2 + 2*s + 250. Calculate j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 4\/3*x**3 + 0 + 3\/2*x**2 + 3*x. Determine y(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 4.3599?\nAnswer: 61.0386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840152 to the power of 1\/2, to the nearest integer?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3856*c**2 - 7*c + 4. Let l be w(-2). Suppose l = -2*y + 4*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from nqnnccnnccnqccccqqcc.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 + 183 + 18*l**2 - 31 - 342.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4686 and 174234?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m + 2803 - 3*m - 2803.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(4*o**2 + 2*o**2 - 2*o**2)*(-7*o + 2*o + 2*o).\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*j - 147145 + 26849 = -3064*j - 1545*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 41 + 7. Let z = 21 - j. Let i = 26 - 10. What is the highest common factor of z and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96\/80*30\/4. Calculate the highest common divisor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 15*w. Let v(z) be the second derivative of -z**3\/2 + 27*z. Calculate v(m(i)).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 290354*k**2 + 9958*k + 4?\nAnswer: 580708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**7\/840 + i**6\/360 - i**3\/3 - 2. Let f(g) be the third derivative of p(g). Factor f(h).\nAnswer: -h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.086, -0.08, 12, 2 in decreasing order.\nAnswer: 12, 2, -0.08, -0.086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75.94 + 76. Let d(n) = -n**2 - 2*n + 5. Let t be d(-4). What is the smallest value in t, -2, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from lllqllllql.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 9*m + 27*m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1. Let x(a) = a - 6. Let k(y) = -3*c(y) + x(y). Let t be k(7). Differentiate 6*r**2 + 3 - 1 - t*r**2 with respect to r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**7\/105 + l**6\/15 - 8*l**5\/15 - 16*l**4\/3 - 5*l**2 - 9*l. Let o(j) = 0. What is j?\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6708 divide 727247415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.240754 to 0 dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 282 - 33. Let j = n + -174. Let f = 75.5 - j. Which is the biggest value? (a) -2\/3 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42.6 - -370.3. What is w rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7397, -14790, -22183?\n\"Answer: -7393*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.373 + -655556.\nAnswer: -655555.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 199298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 3*((sqrt(112) - (sqrt(112) - (sqrt(112)*-4 + sqrt(112)))) + 0) + 4)*-6)**2.\nAnswer: -23328*sqrt(7) + 329508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4, -2*r + 3 = 3*x - 18. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*w - w - 44, -4*w = -4*r + 60. Calculate the lowest common multiple of 10 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3 - 40*s**2 - 356*s - 560 = 0.\nAnswer: -28, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 114*b**2 + 1134*b - 2430.\nAnswer: 2*(b - 45)*(b - 9)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18521 + 18520.6. What is the biggest value in 0.5, r, 5, -1, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**4\/24 + 85*u**3\/6 - u**2. Suppose 0 = -6*l + 2*l. Is d(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3 + 3)*(2*s + 2*s - 2*s)*(5352*s**2 + 8092 - 8092).\nAnswer: -10704*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 8. Let b be k(-4). Suppose -5 = -2*u - s, -3*s - 5 = 2*s. Let r be -3 + (5 - -1) - (0 - 1). Solve -b*w - r = -u*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 133\/2. What is the nearest to u in -0.12, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 42*k**2 - k + 5. Let s = 18 + -12. Is a(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pagyvppapptta. Give prob of sequence vg.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/5)*s\/(s*s\/(s\/s**(-7\/5))))**43\/(((s\/(s**(-9)\/s))\/s**(5\/4))\/(s*s\/(s\/(s**(-3)\/s))*s*(s\/s**(-2\/19))\/s)) assuming s is positive.\nAnswer: s**(5379\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17123693 rounded to the nearest one hundred thousand?\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*(-2 + 2))\/(-36 - -34). Suppose 3*y - h - 1197 = r, 16*y - 15*y + h - 395 = 0. What are the prime factors of y?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 8 + 12*i**4 + 9*i**3 + 1 - 9*i - 15*i**2 = 0. Calculate i.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1541461469\/18 + -85658382. Let q = 21642 + b. Calculate the common denominator of q and 1370\/225 + (-6)\/(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146*n + 145*n + 7 + 17)*(-1 + 3*n + 16*n - n).\nAnswer: -18*n**2 + 433*n - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.121363 times -0.7\nAnswer: 0.0849541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/8 (b) -2 (c) 22 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/12 + 5*u**3\/6 - 6*u**2 - 5*u - 1. What is the remainder when 131 is divided by k(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/3 + 470\/(-282)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*sqrt(17)*-1.\nAnswer: 2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + r + 35 = -5*a, 0 = -4*a + r - 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.780466 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-300762)\/(-26572))\/77 - 3*6\/117)*-2\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 f when three letters picked without replacement from nyfnynffnnyffifiq.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17005.81ng to tonnes.\nAnswer: 0.00000000001700581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/144)\/(9\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 125082630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3) + (3 - 2). Put -3, u, -5 in decreasing order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a = 8. Suppose 4*q = z + 2, a*q - 3 = -5*z + 31. Let s(o) = -21*o - 19. Let c be s(-1). Solve -z*f - 4*b + 20 = -c*f, 2 = 2*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(sqrt(128) + (sqrt(128) - sqrt(128)*2*6 - sqrt(128)) + sqrt(128) + sqrt(128))\/(sqrt(12)\/(sqrt(12)*1)).\nAnswer: 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -0.3 (c) 22 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 78*v + 1. Let i be d(1). Suppose -4*o = -0*o - 3*p + i, -4*o + 4*p - 84 = 0. Let m = -2 - o. What is the highest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6452 - -2628. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (9 + -2) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5008*s - 15022. Determine m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12397 - 12392. Solve 4*p = -2*u + 4*u + 28, 30 = 2*p - t*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1824 + -2.8176. Which is the closest to 1? (a) 0.5 (b) -9\/10 (c) 0.2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/12*(-22)\/(-77)*56. Solve -3*x - 2 = -q*g - 19, 5*g + 30 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + w - 64, 0 = 3*v - 0*v + 2*w + 202. Let x = v + 69. Find the first derivative of 13 + x*p + 11*p + 1 - 13*p wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m**2 - 3*m**2 - 3*m**2)*(39*m + 52*m + 131*m) in the form p*m**3 + b*m + z*m**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 645, 3\/5, -8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 35, -2\/11, -0.2?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7815 - 3399 = 896*f + 2589 + 17557 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1526.5, -1, 1, 478 in descending order.\nAnswer: 478, 1, -1, -1526.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24828463733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66*(4\/18)\/((-12)\/(-3366))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -37*h**2 - 44*h + 80. Let q(v) = 6*v**2 + 2. Let p(f) = -i(f) - 6*q(f). Factor p(y).\nAnswer: (y - 2)*(y + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -437 greater than -437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5234)\/(-18) - 3 - (-4)\/18. Calculate the lowest common multiple of ((-12)\/24)\/((-8)\/t) and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*h - 1746 = -1719, -2*a - 5*h - 17 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (7 - 2) + -7 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -16*y + 2. Let i be q(-2). Suppose i = w - 4. Is w a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092120 is divided by 992?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -34 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-10 - (-10 - 14) - 10) - -20.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 542549, 2170440, 4883591, 8682002, 13565673, 19534604?\nAnswer: 26588795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.62271613 rounded to four dps?\nAnswer: -5.6227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let p = i + 1. Suppose -p*v - v - 35700 = 0. Round v to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*m**3*t + 1556718*m**3 + 3*m*t - 11949*m + t wrt m.\nAnswer: 54*m*t + 9340308*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, -19, 3, -13\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -192, -124?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 16 = g. Suppose 0 - 8 = -4*b, -g*h - 5*b + 166 = 0. Suppose -4*w - y = -h, -w = -0*w + 5*y - 5. What is the remainder when w is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**4\/12 - k**3\/6 - 87*k. Let b(l) = 2*l**2 - l - 5*l**2 + 3*l + 1. Calculate -b(w) - 2*x(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 7 = u + 4*m, -4*m + 4 = 0. Calculate the remainder when 21 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(70) + sqrt(70) - sqrt(70)) + sqrt(70) - sqrt(70))\/((sqrt(180) - sqrt(20))\/sqrt(2)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 7:26 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.4, 2, 104850, 5.\nAnswer: -0.4, -0.2, 2, 5, 104850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (339 - 3*w**2 - 17*w + 34*w - 19*w)*(-8*w + 30 - 30).\nAnswer: 24*w**3 + 16*w**2 - 2712*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135930872 and 616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -88. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 - 1)*(3*i + 2*i - 4*i) + i - i - 3*i)*(i**3 + 0*i**3 + 0*i**3).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47 (b) -1\/4 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*f = 1197, -1793 = -3*l - 0*f + 5*f. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2603, 2391, 1649, 113, -2481, -6397, -11899?\nAnswer: -19251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 8*d**2 + d - 5. Let n be s(8). Which is the closest to 0.3? (a) 4 (b) 1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-13 + 1233\/18). Which is the closest to 2\/21? (a) 4 (b) 3 (c) -3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2969291, 2969350, 2969485, 2969726, 2970103?\n\"Answer: 5*x**3 + 8*x**2 + 2969278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 649134936 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 9 = 9*y. Let m(f) = 5*f**3 + 4*f**2 - 2*f + 4. Let g(s) = -4*s**3 - 3*s**2 + s - 3. Determine y*m(n) - 4*g(n).\nAnswer: n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrttttrtr. Give prob of picking 1 w and 1 t.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) 0.4 (c) -1 (d) -2\/7 (e) -4\/3 (f) 1.1 (g) 9\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 11492*c + 751209. Determine v(65).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010000001110001 + -11?\nAnswer: 10111010000001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 158*x**2 - 7268*x - 23. Determine l(46).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 4*r + 6. Suppose 11 = -2*j + 3*j. Is q(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 2*x**2 + 5*x**2 - x**2 + 3*x**2 - 5*x**2 + (2*x + 4*x - 4*x)*(0*x + x - 3*x))*(7*x**3 + 25*x - 25*x).\nAnswer: -28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:12 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-6)\/(-45))\/((-406)\/(-725))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (403\/26 - 15) + (-78)\/4 - -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 b when three letters picked without replacement from {f: 2, b: 4, l: 3, z: 9}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1063 + 583. Does 12 divide (-2*(-9)\/24)\/((-6)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 30893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r**2 + 90*r**2 - 70*r**2.\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m - m)*(2 + 1 - 5) + (7*m - 2*m - 3*m)*(4 - 3 + 0)*(5 + 1 - 1).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 38*q**2 - 3*q. Let j(l) = -6*l. Give j(p(r)).\nAnswer: -228*r**2 + 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -91.66?\nAnswer: 3.6664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9521 and -0.1?\nAnswer: 9520.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 5 = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 62*t**2 - 4*t + 10. What is s(62)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2787 = -4*h, 0 = -h - 5*z + 342 + 326. Let l = -536 + h. What is the least common multiple of 4 and l?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10331 - -12?\nAnswer: 11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 5:14 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1015+284018\nAnswer: 284018.1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 27 + (5 - (2 - -12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 58*k - 7. Is 42 a factor of r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97162370 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-189)*7)\/(50\/6).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -327*u**4\/2 - 2*u**3\/3 + 791*u**2\/2 - 955. What is the third derivative of d(a) wrt a?\nAnswer: -3924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4066*y - 3 + 3919*y + 6.\nAnswer: -147*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2134 and 1552?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 28482580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-3)\/y)\/y**(2\/9))\/((y\/(y**17\/y))\/y*y*y*y*y\/(y*y\/(y\/(y**(-22)\/y))*y*y)) assuming y is positive.\nAnswer: y**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 3*v**2 - v**2 + (-1786 + 47*v + 1786)*(-v + 19*v - v) - 2*v**2 + 3 - 3 - 3*v**2 + 5*v**2 - 3*v**2 to b + a*v**2 + o*v and give a.\nAnswer: 793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911471*z + 12792 = -911799*z for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/51 and -14\/573.\nAnswer: 9741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015293.\nAnswer: 3, 338431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.066, -5, -2\/3, 139\/17 in descending order.\nAnswer: 139\/17, 0.066, -2\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 444504 divided by 6\nAnswer: 74084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.44 + 0.56. Let v(i) = -i. Let y be v(0). Which is the nearest to y? (a) x (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkkkppvkvpvv. Give prob of sequence vv.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2655249\/336110 + 2\/33611. Find the common denominator of 89\/22 and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:41 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - c**2 - 6*c - 4. Let x(m) = m**2 - 6*m + 9. Let u be x(6). Let j be (-3 + u)*(-1)\/2. Is q(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.274 - 0.036. Let o = -0.87 - p. What is o rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50929, -50928, -50927, -50926, -50925?\nAnswer: -50924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*l**2 + 1 - 167*l**2 - l - 9*l**3 + 4*l**3 as k*l + j*l**2 + o*l**3 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert b8d4 (base 14) to base 10.\nAnswer: 31938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71204.46nm to millimeters.\nAnswer: 0.07120446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121361 and 3092?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26662245 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s = 3*u - 201, -11 = 940*s - 939*s + u for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 times 12266990?\nAnswer: -3189417.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67368 by -2.\nAnswer: 33684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 85784644*t**2 - 67686696*t + 13351716 = 0.\nAnswer: 1827\/4631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 + 79*i - 20. Let f be a(-20). Let q(d) be the second derivative of 2*d**2 - 14*d + f + 1\/6*d**3. Determine q(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*k = -82, 63 - 115 = -2*u + 3*k. Solve 25*m + 8 = u*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 22550891.\nAnswer: 45101782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**7\/840 + r**4\/12 + 2*r**3\/3 - 2*r**2. Let w(s) be the first derivative of p(s). Give w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvivvviivvv. Give prob of picking 1 i and 1 v.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5\/3 (b) -0.4 (c) -1\/10 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -u - 90. Suppose -2*s + 6 = -3*m, -3*m + 2*m + u*s - 15 = 0. Factor 0*i**3 + m*i + 2\/7*i**4 + 0 - 2\/7*i**2.\nAnswer: 2*i**2*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: c58 (base 16) to base 14\nAnswer: 121a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*b - 1605, 26*x + 411 = 25*x - 4*b. Let j = -387 - x. What is the highest common factor of 60 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 14*p**2 + 23*p + 32. Give c(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 7\/(9 + 5))\/10\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/52050 and -29\/160.\nAnswer: 832800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*w - 280*w = 1070. Calculate the smallest common multiple of w and 2.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*b, 2*o - 2528*b = -2543*b + 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/136, -5\/10104 in descending order.\nAnswer: 3\/136, -5\/10104, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v - 51*v + 2884 = -175*v + 66*v for v.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q**2 + 5*q - 50. Let j(h) = 20*h**2 + 9*h - 100. Give -3*j(u) + 5*s(u).\nAnswer: -5*u**2 - 2*u + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by (5\/(-15))\/(27\/(-3726)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 3597 - 1197 = 0. Let b = -222 - x. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1394, -2677, -3864, -4949, -5926?\n\"Answer: m**3 + 42*m**2 - 1416*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 49.\nAnswer: 30\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -50723 - x + 104*x**2 - 6*x**3 + 5*x**3 + 0*x**3 + 50729 as h + o*x + b*x**2 + r*x**3 and give b.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((o\/(o\/((o**(-2)*o)\/o)))\/o)\/o)\/o*o)\/o)**(16\/3)*(o*o**(-1))**5)**(7\/6))**39 assuming o is positive.\nAnswer: o**(-3640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14*v**2 - 9*v + 8. Let d be g(1). Suppose 9*q = d*q - 40. What is the second derivative of -11*o + q*o**3 - 7*o - o + 14*o**3 wrt o?\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180)*2)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 i, and 1 v when three letters picked without replacement from sdirsuvvsusud.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 196817721 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4 + 10*g**3 + 5*g**2 - 10*g = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 112044155 + -5?\nAnswer: 112044150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/8))\/((j**(2\/5)\/j)\/j))\/((j\/(j*j**0\/j*j*j)*j)\/j)**(-10\/3) assuming j is positive.\nAnswer: j**(-103\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7579 - -12024. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 17 = 4*u, -o = 5*u - 11 - 15. Suppose -5*j = 4*t - 541, 3*j - 125 = 2*j - u*t. Suppose j = -5*l + 410. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 68. Let z = s + -29. Differentiate 26*i + 5 - z*i - 4 wrt i.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 37629378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 310265791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 153 * 0.94.\nAnswer: 143.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1907*d**4 - d**3 - 70*d**2 - 1504169*d wrt d.\nAnswer: 22884*d**2 - 6*d - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144 - 145 - (-3 - (-2 - -3)) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 - (8 + 2 + (14 - -5) + -12)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 184814 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*d**2 - 34*d**2 + 2718*d - 2588*d wrt d?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -3049*a**5\/60 - 163*a**4\/12 + 1719*a**2. What is the second derivative of c(m) wrt m?\nAnswer: -6098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 186601.2s?\nAnswer: 186601200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/104*2 + 3\/2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(500) - (sqrt(500) + sqrt(500)*1)))\/(-2*sqrt(360) + sqrt(10) + sqrt(10)))\/(((sqrt(160)*3 - sqrt(10)) + -5*sqrt(20)\/sqrt(2) + sqrt(10))*-6).\nAnswer: sqrt(5)\/420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 3*q**2 - 2*q + 5. Let h(a) = a**2 + 9*a - 8. Let t be h(-10). Let n(d) = 3*d**3 + 5*d - 9 - 2*d - 5*d**t + d**3. What is 5*f(s) + 3*n(s)?\nAnswer: 2*s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -159, -252, -341, -432, -531, -644?\n\"Answer: -f**3 + 8*f**2 - 110*f - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6159 - -6158.72. What is the closest to -10 in 1\/7, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10329 = -0*q + 11*q. What are the prime factors of q?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 11:49 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 262.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -46. Is z smaller than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.01381 millilitres in litres?\nAnswer: 0.07101381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -49*u - 12. Suppose -2*a = 3*p - 4*a - 4, -3*p - 5*a = 10. Suppose m - 34 + 37 = p. What is the hundreds digit of b(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 6*a + 371 - 6*a.\nAnswer: a + 371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4512*k + 4506*k - 9020*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**3 - s**2 - s. Let y be i(-1). Suppose 0 = -0*l + y*l. Solve l = 4*g - 3*o - 11, 5*g - 22 = 5*o - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-11))\/((-12618)\/(-532059)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/12 - 4*r**3\/3 - 2*r**2 + 80*r\/3 + 55. Factor f(k).\nAnswer: -(k - 2)*(k + 4)*(k + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4509 + 12236124.18\nAnswer: 12231615.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, 3, 47, 93, 135, 167, 183, 177?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, -8899, -10, 3, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = 2*y, -4*z = 5 - 25. Suppose -3*o + 32*i - 25 = 27*i, -5*i + 40 = 0. Put 9, y, o, 10 in descending order.\nAnswer: 10, 9, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861640 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-2) - -7 - (-19)\/2. Suppose -3*l - 9 = 5*r, 0*r = 3*l - 5*r + v. Let q be ((-12)\/(-18))\/(2\/l). Which is bigger: -8\/19 or q?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.3 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2694442777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - x = -5*o + 357, -3*x + 595 = 5*o. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 minutes after 10:08 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -7. Suppose 9 = a - u. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*c - 41 = 0, -6*s + 2*c + 76 = -s. Suppose 19 = -5*a + s. What is the units digit of 2 + (-15)\/a*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:13 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 584032.96 to the nearest ten thousand.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -18*z - 66 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 626496 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1755)\/364)\/15)\/((-6)\/7)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -17. Let s(k) = 71*k**3 - k + 2. Is 36 a factor of s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15573, 31148, 46721, 62292, 77861?\nAnswer: 93428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6657917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100697\/14 + 7188. Let w(r) = -r**3 + 2*r**2 - r - 2. Let b be w(4). Find the common denominator of n and 0 - (b\/(-16) + 2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/36)\/(((-8)\/168*-7)\/(49\/147))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 6*u**2 + 22*u - 52. Determine q(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -8*i - 23. Solve g - 4 = i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)*u)**(-35)\/(u**1\/u)**(4\/7) assuming u is positive.\nAnswer: u**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huni when four letters picked without replacement from {t: 11, u: 1, h: 2, i: 1, n: 2, s: 2}.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -212020200021 (base 3) in base 9?\nAnswer: -766607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 14*w**2 + 10*w - 36. What are the prime factors of o(-15)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 5, 2, 0, -1353 in decreasing order.\nAnswer: 7, 5, 2, 0, -5, -1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175307 - 18*f + 175307.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - -22 - (-3 - -9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019122473 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12326*k = 12297*k + 1305 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*d = -2*d + 28, -2*d + 42 = 4*s. Suppose 0 = 3*l + l - 4*v - 64, -5*v - s = l. Let u = 23 - l. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 6, -378, -2 in descending order.\nAnswer: 6, 2, 1, -2, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 5 = -b - 6 - 23, -6*c + 18 = b - 7*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/j**5))\/j)\/j**3*j\/(j\/j**(1\/4))*j*(j\/(j*j**3\/j*j))\/j*j assuming j is positive.\nAnswer: j**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96.67 * 4.\nAnswer: 386.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 2, -264 = -5*b - 8*y - 305 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4 - 107*c**3 + 1157*c**2 - 2985*c - 6300 = 0. Calculate c.\nAnswer: -4\/3, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, r: 1, j: 2, d: 3, y: 1, c: 2}. What is prob of picking 2 g?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2537 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Suppose u - g*o - 16 = 6, 3*u + 14 = -4*o. Suppose s + 75 = u*v - 89, -4*s + 224 = 3*v. Calculate the greatest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 2943 = -2*g. Let p = g + -100. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*q + 25 = 0, 4*q = -2*b + 3*q + 9. Let u(d) = -27*d - 139. Let c be u(-7). Suppose b*h + 5*t = 90, 1 = 2*h - t - c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7282, -14245, -20900, -27247, -33286, -39017?\n\"Answer: 154*l**2 - 7425*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230 is divided by 463.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + -44 + (262 - 175)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -25.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4581 is divided by 100.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10217*r - 6 - 3*r**2 - 4*r**4 + 20435*r - 10219*r to p*r**3 + h*r + u + f*r**4 + m*r**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(6)*-3 - sqrt(48)\/sqrt(512))\/((sqrt(88)\/(sqrt(11)*1))\/((sqrt(176)\/sqrt(4))\/sqrt(11))).\nAnswer: -25*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5061 < 10963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173.574599 + -205.5745932. Let i = c - -32. What is i rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + 5*(sqrt(187) - (sqrt(187) + 2*sqrt(187) + sqrt(187) + sqrt(187))))\/(sqrt(132)\/(sqrt(36)\/sqrt(3))) + (5*4*sqrt(17))**2 + -1*-2*sqrt(17).\nAnswer: -17*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 n when four letters picked without replacement from ffffnffnfnffnnnn?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -236 - -408. Let m = 160 - f. Let l be (-6)\/10 - (-3 + 3). Sort l, m, -4\/7 in ascending order.\nAnswer: m, l, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3 + 17176*l**2 + 206220*l + 618768 = 0. What is l?\nAnswer: -6, 17188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 0.11.\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**6\/60 + a**5\/120 - 7*a**4\/24 - 11*a**2. Let g(w) be the second derivative of y(w). Is 6 a factor of g(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5783296*z**4 + z**3 - 24931132*z**2?\nAnswer: -138799104*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.666 + -5.4663.\nAnswer: -27.1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 + 4*l. Let t be g(3). Let q be (2\/(t\/(-15)))\/1. Let u be (-20)\/130 + (-63)\/13. Put u, q, -2 in decreasing order.\nAnswer: q, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -16. Let x(s) = -2*s - 3*s + 4 - 6 + s**2. Let y be x(p). Sort y, -1, -4 in decreasing order.\nAnswer: y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3 + 23*i + 25*i - 45*i - 2*i**2 + 2*i**3. What is p(3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4560876*t**3 + 37299*t**2 + 7*t + 5?\nAnswer: 27365256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f. Let k(x) = -8*x + 61. Let r be k(5). Let w(h) = -5*h**2 + 33*h - r*h**2 - 33*h - h**2. Give w(n(s)).\nAnswer: -243*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7617 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5924728 = -3*f, 108*b - 2962365 = 107*b + 2*f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 1, f: 2, s: 1, x: 2, j: 2}. Give prob of sequence fus.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231975344 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + 120 - (-44 + 117)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2336461 + 11?\nAnswer: 2336472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 252*p - 1. Let j be h(1). Suppose -4*i - j = -5*m + 4*m, -4*m + 4*i + 1040 = 0. Let q = m - 188. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0 - 1\/12*g**4 + 35*g**2 + 0*g**3 - 8*g. Calculate the remainder when t(0) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 4. Let a = -37 + 40. What is l(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*u = 2*u - 70, 3*l - 3*u = 36. Solve 5*v + 2 + l = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 - 4.02. Let c = s - -4. Let d = -1.7 + 1.3. What is the biggest value in d, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -2.5. Let d = -2 + u. What is the smallest value in d, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yerd when four letters picked without replacement from rdreqyqqesr?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -553.7 + 27.7. Let s = y + 526.000000379. What is s rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkkdzckkbkkcckkczk. Give prob of sequence cdc.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1517*a**2*x**2 - 96*a**2*x + 193*a**2 + 44909*a*x**2 + 23*a*x + 2*a + 8 wrt a.\nAnswer: -3034*x**2 - 192*x + 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 789718795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 26*p + 150. What is the smallest common multiple of 2 + 17 - 0\/1 and r(-18)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (108\/10)\/(13\/((-325)\/10)). Is -29 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 288*j**3*v**3*y**2 + j**3*v*y**3 + 346*j**2*v**3*y**3 - j**2*v**3*y - j**2*v*y wrt j?\nAnswer: 1728*v**3*y**2 + 6*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 = -74*t + 1211. Let h(d) = 20*d**2 + d. Let u be h(-1). Is t equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*o + 5873*o**2 - 366*o - 28 + 23.\nAnswer: 5873*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -150*p**2 + 4*p - 2. Let j(i) = 450*i**2 - 12*i + 5. Let u be (4\/10)\/((-1)\/(-20)). Let k(n) = u*g(n) + 3*j(n). Is k(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -11*b**2 - 1539*b - 21698. Determine p(-124).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 239786846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-10))\/(5*15\/20).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*l - 13383 = -1643*l + 674*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -21 (b) 0 (c) 0.3 (d) 241 (e) -3\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - (-6660)\/162) + 1 + -9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 374067225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 1333?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(385) - 1*sqrt(385))*1)\/sqrt(1008))\/(-1*sqrt(121)\/(sqrt(99) - sqrt(11))*-6))**2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -8. Let s be (-16)\/3*2\/8. Let u = 10.9 + -11.9. Which is the closest to u? (a) s (b) -1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**12*w**(-6\/11)*w**(-9)\/w*w\/(w\/w**(4\/3)) assuming w is positive.\nAnswer: w**(92\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48087320 by 6010915.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 - (-2)\/(-3). Let v be (12\/(-55))\/((18\/(-20))\/(-3)). Which is bigger: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-168)\/14)\/240)\/(4\/(-10))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334170 is divided by 868.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 - -0.11. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghp when three letters picked without replacement from {z: 1, p: 1, q: 3, h: 2, l: 3, g: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001191 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14131*j + 42646*j + 2 - 14506*j - 14563*j - 2.\nAnswer: -554*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 + 100. Solve h*x - k = -2*x + 18, 2*x + k - 12 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*a + 130*a + 110*a + 5518 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8280 rounded to the nearest one hundred?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 4:42 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 0 (c) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 7428 - 2166 = 0. Does 26 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -29*c**3\/6 - c. Let s(d) be the first derivative of d**3\/3 + 9. Give s(i(o)).\nAnswer: 841*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 34 + (12 + 27 - -6)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 j when four letters picked without replacement from ddjxxddxxdjdjxxjx?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1812, 3622, 5432, 7242?\n\"Answer: 1810*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5721094 rounded to 3 dps?\nAnswer: 0.572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -27736580*i**2. Let w(m) = -32*m**2. What is w(o(l))?\nAnswer: -24618171843084800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*a - 2*q, 1426*a = 1427*a - 298*q + 1193 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/2 + 1861689*h - 1155295310907\/2.\nAnswer: -3*(h - 620563)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72301 * -0.042.\nAnswer: -3036.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 248, -3, -0.41962, 3, 0, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 + 3*g - 6. Let a be d(6). Let t be ((-1 - 0) + -1)\/(16\/a). Is 1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/9)*c)**(-3\/10)\/((c\/(c\/(c**(2\/53)*c)))\/c*c\/(c\/c**(1\/4))) assuming c is positive.\nAnswer: c**(-2293\/3180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-708)\/(-1560) - (10 - 256\/26)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f, -3*x + 0*f = -4*f - 9. Suppose -6 = -w - 2*w. Let u be -2*((-1)\/2 + w). Sort u, x, 5 in ascending order.\nAnswer: u, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 21*a**2 + 20*a + 2. Calculate x(22).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/140 and -51\/190968868?\nAnswer: 6683910380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 20 = -5*n. Let k be 2\/(-10) + 72\/(-15). Let i = n - k. Solve i = -q - 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*h + 4320 = -42*h. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -7.4. Let v = -0.99 + 0.852. Let r = v + 0.108. What is the biggest value in -6, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 + 58*t**2 + 49*t. Let w(c) = 6*c**3 - 60*c**2 - 48*c. Let f(p) = 3*g(p) + 2*w(p). Factor f(j).\nAnswer: 3*j*(j + 1)*(j + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 229, -4, 5, 0 in ascending order.\nAnswer: -4, -2, 0, 1, 5, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9530, -19061, -28592, -38123, -47654?\n\"Answer: -9531*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36789, -75824, -114859, -153894, -192929, -231964?\nAnswer: -270999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 2*k + 17 - 17 + (0*k - 2*k + 0*k)*(-72*k**2 - 893 + 893).\nAnswer: 142*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56536*r - 219*r**2 + 56547*r - 113083*r.\nAnswer: -219*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (175\/(-35))\/(15\/(-102))*(-4)\/4\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17658937411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 481 and 2249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2. Suppose -b - 29 = -4*j, 0 = 4*j - 3*b + 5*b - 38. Let t(m) = -15*m - m**2 - j + 23*m - 8*m. Determine s(t(o)).\nAnswer: -2*o**4 - 32*o**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 + 100*d**4 + 480*d**3.\nAnswer: -5*d**3*(d - 24)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.05 - 17. Let d = y - 0.05. Let v = d - -4.9. Which is the second biggest value? (a) 3 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36347023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/75*(-50)\/140.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -65. Let y = g - -11. Suppose y - 34 = -h. Solve -3*b + 2 = -h*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116855?\nAnswer: 5, 23371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, v: 2, s: 8}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 - 15. Let x = s - 53. Suppose 44*t - x*t + 804 = 0. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2240112 (base 6) to base 8.\nAnswer: 336654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 248832*o**2 - 1244223*o - 995388.\nAnswer: 3*(o - 82949)*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28053072*v**3 - 7906589 with respect to v.\nAnswer: 84159216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 167, 89, -3 in increasing order.\nAnswer: -4, -3, 89, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(6\/5)\/x*(x*x**(-6)\/x)\/x assuming x is positive.\nAnswer: x**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - k - 7*k + (1 + 1 + 0)*(0*k + k - 2*k) + (-5 + 5 - 1)*(2 - 2 + 3*k) in the form t + f*k and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224.87 - 223.47. Sort x, -5, 0, 1, -3 in decreasing order.\nAnswer: x, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1837.55 + -2.3?\nAnswer: -1839.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/(-90) - (-124)\/10. Suppose -3*i + m = -i + 5*a, 12 = 3*a. Let r = 19 - 12. Put r, -2, i in increasing order.\nAnswer: i, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88*w**4 - 5*w**2*y**2 + 1455*y**2 wrt w?\nAnswer: -352*w**3 - 10*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 194?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i + 175*i - 1648 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 10. What is the common denominator of 81\/4 and g(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 4:45 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 14\/35 + (-683)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639094 is divided by 444.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(8) + sqrt(12)*5*-2)\/(((sqrt(24) + sqrt(216) + sqrt(24) - sqrt(24))*2)\/((sqrt(256) - sqrt(256)*-2 - sqrt(256)) + sqrt(4))).\nAnswer: -323*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/9 - 28*o\/3 + 64 = 0. Calculate o.\nAnswer: -48, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 17508*r - 35000.\nAnswer: -4*(r + 2)*(r + 4375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1779 - -1919 - (92 + 2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 3 + 3)*(-172 - 143 - 2566*b**2 + 2568*b**2) in the form d*b + h + y*b**3 + i*b**2 and give d.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-2)\/(3 - 4). Let z be (-6 - -7)\/((-1)\/w). Suppose -4*i + 5*r = -999, -4*r + z = -2. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -228 + 226.91. Let q = -1.58 - y. Let h = q + -0.01. What is the second biggest value in h, -2, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/7 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/32169 - 3120481\/1415436. Find the common denominator of x and -57\/704.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/10 - 1\/2. Suppose a = 5*k - 17 - 18. Let z = -2 + k. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -112262, -449087, -1010470, -1796417, -2806934?\n\"Answer: -i**3 - 112273*i**2 + i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76150619*g**2 + 8723651*g?\nAnswer: 152301238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 - -46. Let w = h + -104. Let y = w + -33. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9 = 7. Solve -3 = -i*s + 6*s + 5*y, s + 5*y - 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*w)*(6 - 5 + 4)*(-4 - 1 + 6).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**3 - 11*i**3 + 26*i**3 + 3*i - 3*i.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 34 - -2) + 26\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -5*n - 20, 223*n + 10 = -g + 220*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14146.\nAnswer: 2, 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001378 rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3577124*b**4 + 252747*b**2 wrt b.\nAnswer: -85850976*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 5*q, 2*d = 7*q - 6*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j + 102 = -34*j. Solve 0 = -4*b + 3*a + j, 3*b = -a - 4*a - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*k + 25*k**3 - 5*k**4 + 9*k**2 + 8*k - 28*k**2 - 16*k**2.\nAnswer: -5*k*(k - 3)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 4*i + 50 + 61 = 153, 4*d + 2*i = 26 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 - 53*v + 10. Let i(w) = -11*w**3 - 108*w + 25. Give -3*i(d) + 7*u(d).\nAnswer: -2*d**3 - 47*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.60189 - 1.521. Round c to 3 dps.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o*o\/(o\/((o**(2\/13)*o)\/o)))\/o*o*o**(-10))**(24\/5))**(-2\/77))**(-24) assuming o is positive.\nAnswer: o**(-102528\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = 0. Let w = p + 2. Suppose w = s - 4. Solve s*i - 10 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/21 - (-4)\/(-7). Let p = 170 - z. Is 42 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/6 - s**2\/2 + 4*s. Let l(t) = -6*t**2 - 3. Let u(y) = -3*l(y) + 8*x(y). Differentiate u(c) with respect to c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 5*z + 3*z)*(-3 - 2 + 2)*(-12*z**2 + 5*z**2 + 0*z**2) + 2*z**3 - 5*z**3 + 2*z**3.\nAnswer: 41*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -164, -158, -152?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -134133039, -268266076, -402399113, -536532150, -670665187?\n\"Answer: -134133037*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Let g be q\/((-4)\/1)*0. Sort 3, g, -1.\nAnswer: -1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (3 + (-8 - (8 - 17)))) + -3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148 + -666172?\nAnswer: -666331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 498 and 16?\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.4, -48, -1\/6, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 805, -36.3, -1\/117?\nAnswer: 805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 6*b + v = 7, 4*v = -b + 16. Let d be 3 + (b - 2\/(-2)). Solve h - d = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 14940*t**2 + 860691*t - 3203532.\nAnswer: -3*(t - 53)*(t - 4)*(t + 5037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 12:42 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*f = 27*f - 160, 3*m + f = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09808 - 0.19808. Which is the closest to -2\/5? (a) -0.3 (b) 8\/7 (c) m (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128889551?\nAnswer: 7, 2630399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*r = 90*r + 79*r - 4411 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**3 - 5. Let m(p) = -3*p**3 + 2. Suppose -4*x - 20 = x. Let o = x - -2. Determine o*h(r) - 5*m(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 502.1 + -502. Let o = 38.935 - -0.065. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/7 (b) 17 (c) 3 (d) 1.1 (e) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:14 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 1:03 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/8))**(-18)\/((q**(-1\/12)*q*q*q)\/(q\/(q**(-9)*q))) assuming q is positive.\nAnswer: q**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 240*m - 57. Give v(2).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*f*x**4 + f*x**3 - 2*f*x + 10*f - 13*x**4 + 2*x**3 + 3*x**2 - 17*x wrt x?\nAnswer: -312*f*x + 6*f - 312*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qxxxxqxxxk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-26) - (2 + 9630\/(-234)) is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7764970421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59417237102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - v**2 + v**2 + (v + 3*v - 7*v)*(-2*v + 3*v + v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4\/17 + 356*h**3\/17 - 3336*h**2\/17 + 5660*h\/17 + 550 = 0.\nAnswer: -187, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhpphphhhhp. What is prob of sequence phh?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v - 2. Factor -8\/5*c**v + 6\/5*c**4 + 0*c**3 + 0*c + 0 + 2\/5*c**5.\nAnswer: 2*c**2*(c - 1)*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 7249.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/840 and -13\/6.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-392)\/3822)\/(132\/286)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/6370 and 26\/63.\nAnswer: 57330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370366209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**2 + s - 158568. Let g(l) = 4*l. What is g(n(j))?\nAnswer: 44*j**2 + 4*j - 634272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*99\/22. What is the highest common factor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b76 (base 14) to base 5.\nAnswer: -221443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024.4 times 0.1?\nAnswer: 402.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 1001?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4088, -4105, -4122, -4139?\n\"Answer: -17*n - 4071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -107, -108, 21, 280, 669, 1188, 1837?\n\"Answer: 65*w**2 - 196*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010010111000011 (base 2) in base 3?\nAnswer: -10211011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*w + 6827 = -841. Calculate the remainder when w is divided by 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21243540 is divided by 5310866?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7008253 is divided by 3572?\nAnswer: 3561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0*f)**(-1\/8)\/((f**(-3)*f)\/(f\/f**3)) assuming f is positive.\nAnswer: f**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1422551 millimeters to nanometers.\nAnswer: 142255.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1627716838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1857 and 2980485?\nAnswer: 2980485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 10*g**2 + 92*g - 56. What is the remainder when 4813 is divided by z(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4608 times 0.18?\nAnswer: 829.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2183531\/58 + -37647. Is -0.1 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(0 - -1)*-1. Let u(o) = -o**3 - 1. Let s(v) = 3*v**3 + 12*v**2 + 24*v + 17. Let x(b) = f*u(b) + s(b). Factor x(y).\nAnswer: 2*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 869996 = 4*t, -n + 3*t - 7*t - 434996 = 0. Round n to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.839834kg in micrograms?\nAnswer: 4839834000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 190444.\nAnswer: 1\/190444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 8 + 10 + 2*c**4 - 2*c + 174*c**3 - 18 + c**4 to the form s*c + v*c**2 + t + z*c**4 + y*c**3 and give y.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*f**3 + 35 - 2*f - 8*f**3 - 5*f**3 + 5 - 8*f**3 to y*f**2 + k*f**3 + u + b*f and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, h: 5, v: 1}. What is prob of picking 1 h, 1 v, and 1 w?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*w + 12 = 0, 0 = 5*d + 14*w - 12*w + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*v - 103 = 0, -2*m = 2*m - 5*v + 195. Let l be (-336)\/70*m\/(-4) - 3. Let k be (1 - 4) + (828\/l)\/(-4). Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -907.036 + -97\nAnswer: -1004.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5\/j)\/j)\/((j*j*(j*j**(-11)*j)\/j)\/j*j)*j**(-1\/9)*j**(-2) assuming j is positive.\nAnswer: j**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g + 5. Let v(h) = 14*h + 5. Let u(y) = 6*r(y) - 2*v(y). Let i(f) = -f**2 + 12*f + 19. Let z be i(14). Calculate u(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 9, -24, -9 in ascending order.\nAnswer: -24, -9, -4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 53 + 103. Let o(d) = 20*d - 100. What is the remainder when o(g) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14374808 by -3593702.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3217 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/590 and 20\/656611?\nAnswer: 6566110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + v - 2. Let o(c) = -39*c**2 + 33*c - 66. Let q(z) = -3*o(z) + 99*r(z). Let t(w) = 27*w. Calculate t(q(l)).\nAnswer: 486*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-28))\/(-5 - 87\/(-12)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 30. Suppose 0 = -5*j + n + 10. Solve -12 = 3*f + j*p - 3*p, 17 = -5*f - 2*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*-2*sqrt(300)*-4 - 6*(-1 + sqrt(300))*1))**2.\nAnswer: -72960*sqrt(3) + 6931776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1295\/12 + 108. Let n(k) be the first derivative of 0*k + 0*k**5 - z*k**4 - 1 + 0*k**3 + 0*k**2 + 1\/18*k**6. Factor n(j).\nAnswer: j**3*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-104)\/(-4))\/(4\/((-68)\/(-17))).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -734 + 822. Calculate the smallest common multiple of y and 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 7 - 2 = -3*f, d = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638 - 396 - 241 + 42*g**2.\nAnswer: 42*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 + 384. Calculate the highest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1462*q**3 + 2*q + 317.\nAnswer: 4386*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3987 and 4617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 114 = 14*n - 2*n + u + 7*u + 186, 0 = 2*u + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5038.\nAnswer: 2, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3 - 2. Let u(h) = h**2 - 2*h + 3. Let v be u(0). Suppose -8 = -d - v*d. Put d, j, 0 in decreasing order.\nAnswer: d, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -14*k**2 + 1. Let u(i) = 5*i**2 + 37. Give t(u(l)).\nAnswer: -350*l**4 - 5180*l**2 - 19165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 139*q**3 + 141*q**2 - 139*q - 140.\nAnswer: -(q - 140)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -39*t + 12. Let f(h) be the third derivative of h**4\/8 - h**3\/6 - 4*h**2 - 9. What is -27*f(c) - 2*p(c)?\nAnswer: -3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4605 + -4605. Put k, 2.5, 2\/9, 4 in decreasing order.\nAnswer: 4, 2.5, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 908424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -4\/3*j**3 - 7\/30*j**5 - 1 + 0*j - 4\/3*j**4 + 1\/2*j**2. Let f(o) be the second derivative of y(o). Factor f(k).\nAnswer: -2*(k + 2)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823 = -324*i - 499 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(287\/(-123)*6\/21)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -227, -896, -2011, -3572, -5579, -8032, -10931?\n\"Answer: -223*r**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 156 + 150 = 0. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 - 1 = -2*h. Let t = 224 + h. Suppose z = -2*k + t, -6*k = 2*z - 3*k - 162. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56959826 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 346? (a) 0.1 (b) -2\/3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 836 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 20 = -4*r. Let y be 88\/46 + 5*r\/115. Solve 0 = 2*h + y*l - l + 3, -h = 5*l - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 167*m - 49 - 349*m + 172*m + 9. Let q(t) = 5*t + 19. Let o(d) = 6*j(d) + 13*q(d). Let a(x) = -24*x - 34. Give -3*a(l) - 14*o(l).\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -20*l - 269. Determine w(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503*f = -515*f + 204. Sort f, -5, 0.\nAnswer: -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 59299?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x + 23*x**2 + 47*x - 22*x**2 - 2 in the form t*x**2 + i + c*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780636 is divided by 356063?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 14 = -5*x + 41, -f = -3*x + 9. Solve 0 = -5*q - 2*d + 8, 3 = 3*q - 3*d - f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.446 * 1.33.\nAnswer: -0.59318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180) + sqrt(125)*-2)*1*3.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 17. Let l be n(4). Let t(c) = 6*c**2 + 5*c. Let h(d) = -d**2 - d. Let x(o) = l*h(o) - t(o). Let b(y) = -11*y. What is b(x(m))?\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.29 - 0.19. Let v = -0.1 + p. Which is the nearest to 0? (a) 2\/9 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2155*d**3 + 3*d**2 - 3*d + 1. Let c be o(1). Suppose 3*b = 1666 + c. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = 357*z - 372*z. Suppose -4*q - 830 = -2474. Suppose 2*y = -y + q. What is the remainder when y is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from crjjjvvvlppvvjj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 2c?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7524 and 1881?\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 - n**2 + 3*n + n**3 - n as m + r*n**2 + v*n + p*n**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:15 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37456 is divided by 471.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 4. Let d be i(2). Let g(a) be the second derivative of a**4\/12 - 2*a**3\/3 + 4*a**2 - a. List the prime factors of g(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0492633 (b) -1 (c) 10\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -16 (c) -2\/105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1924 and 20706569?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) - (-44)\/(-6). Let u = w + 3. Let n = 821 - 818. Which is the third smallest value? (a) u (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*(8 + 2). Let s = -42 + 27. Let t = -18 - s. Sort t, k, 3 in increasing order.\nAnswer: t, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 12:35 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - 13*t**2 + 61*t - 120. Calculate the remainder when w(9) is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 8*x - 3*x - 5*x - 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7852947 = 7685*n - 7628*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100270 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 = -6. Suppose 0 = -5*r + 3*u + 155, r - 4*u + j - 32 = 0. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -4, 4, 30.73?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3113068.3 - -3097744.213. Let o = d + 15334. Let q = -0.213 + o. What is q rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -51 - -101 - (-19 - (2 + -4)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30997229 or -30997212?\nAnswer: -30997212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7172\/7 bigger than -1025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 2\/7, 5\/8, -21, -6 in decreasing order.\nAnswer: 5\/8, 2\/7, -6\/7, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*q = -74*q + 1560 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, d: 1, u: 3, a: 1, o: 1}. Give prob of sequence ouoa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4303 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) -0.5 (c) 6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5559942 micrograms in grams?\nAnswer: 0.0000005559942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*n + 1, -2*p + 0*n + 47 = -n. Let h = p - 17. Let g be (1 - h)*(-1)\/(-2). Which is the second smallest value? (a) g (b) 1\/17 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g + 8. Let q(a) = 9*a**2 + 649*a + 64. Let f be q(-72). Determine u(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 15830?\nAnswer: 79150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928120 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 14 + 34. Solve -5 - 20 = -5*r - 3*q, -g*r = -3*q + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016397 to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g - 12*g + 5*b + 16, 2*g + 10 = -2*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -7 - -12 - 27) + 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + -0.6. Which is smaller: w or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxi when three letters picked without replacement from {x: 1, y: 1, i: 1, s: 1, k: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iahcachibcbbec. What is prob of picking 1 b, 1 a, 1 h, and 1 e?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 4:28 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h - 13. What is the tens digit of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 - -2.6. Which is the closest to -1? (a) 5 (b) t (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -4) + 17 + -3. Let x = 17 - b. Solve 3*i - 2 = 2*y, y - 2*y - x = i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 918 and 1565496.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -46*i**3 - 6*i**2 + 5*i + 2. Determine q(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 2*i**2 + i. Let h be a(1). Suppose 3*f = -p + 99, f - 348 = -4*p + 103. Suppose h*m - p = -3*m. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4\/7 + 778694*o**3 + 81763170*o**2\/7 + 408816350*o\/7 + 681361000\/7 = 0. What is o?\nAnswer: -5, 2725444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 26. Let c be d(6). What are the prime factors of 241\/4 + (-3)\/24*c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 4*j**2 + 2*j - 7. Let n be w(-5). Let h = 1150 + -1142. Is h at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - x + 4*l + 5 = 0, 0 = 3*x - 3*l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 6*v**2 - 4*v - 5. Let n be 1 + -1 + (5 - -3). Is w(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/((-9)\/24). Suppose 422 = -t + 417. Sort t, -4, q in descending order.\nAnswer: q, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*(-1*(sqrt(6336) + -1 + -4) + -3) + 4)*-4)**2.\nAnswer: -14592*sqrt(11) + 1622377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (1 + 2 + 0)) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + ((sqrt(243) + -1)*4 + sqrt(243))**2 - ((sqrt(243)*-1 - sqrt(243))*-5 + 0)).\nAnswer: -450*sqrt(3) + 6094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 7*b**2 + b - 6. Let g be x(7). Suppose 2*t - 14 = -2*a, 0 = 4*a + 5*t - 30 - g. Calculate the greatest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221766.\nAnswer: 2, 3, 23, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 3205\/11981 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014192?\nAnswer: 2, 3, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggpgpgwwgwgpw. What is prob of picking 2 p?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 3*x = 231 - 255, 5*d + 22 = -2*x for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 1\/55*b**6 + 0 + 0*b**2 + 10*b - 3\/110*b**5 + 1\/66*b**4 + 0*b**3 - 1\/231*b**7. Factor f(o).\nAnswer: -2*o**2*(o - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2021680 divided by 27320.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 332550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -92*o + 511. Let q be w(3). Is 706\/3 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1533 (base 7) to base 10\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6778798 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 3 (c) 51 (d) -0.07 (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212 + 21040014?\nAnswer: 21040230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4919 + -3?\nAnswer: 4916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 0 + -32 - -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3. Let v(u) = 3*u**3 - 6*u**2 - 6*u + 2. Let q(c) = 2*t(c) - v(c). Does 10 divide q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298.76 rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaweeawaasewee. Give prob of sequence www.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.02 (b) 2\/9 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 10 - (3 + -12)) + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5 = 25. Suppose -h + 3*d = 5*d - 63, -n*h + 232 = 3*d. Suppose -3*z + 30 = -36. What is the greatest common factor of z and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-4 + 5) + 7*(-3)\/(-21). Which is the fifth biggest value? (a) 1.3 (b) -3 (c) -0.1 (d) p (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9035*v**3 - 18301*v**3 + 9269*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 22. What is the units digit of -2 + (-3 - j) - -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrttr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 10*t + 2. Determine n(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + 2*r - 268*r**2 + 109*r**2 + 54*r**2 + 31*r**2 - 2*r**3 as w + o*r + k*r**2 + l*r**3 and give k.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*l + 4*l + 36, -3*u + 5*l + 62 = 0. Suppose u*r + 51 = -3*r. Which is the nearest to 2\/5? (a) -0.05 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffbffffffbf. What is prob of sequence bfff?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.016842 - -1.983158. Let z = -9 - -35. Which is bigger: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - -2103201?\nAnswer: 2103102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1263, 4, -3, -4 in ascending order.\nAnswer: -1263, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + k**2 - k. Suppose 15*o - 155 = -110. Let v(r) = r**3 - r**2 + 3*r + 1. Determine o*i(u) + v(u).\nAnswer: -2*u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 202*u - 45 = -198*u, 3*q = 3*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 2*x**2 + 7*x**2 + (-2*x - 3*x - 9*x)*(-3*x - 4*x + 5*x).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022211 + 11200?\nAnswer: 1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose y = -b + 5*b - 4. Let q be (-1)\/(-3) - 2\/(-6). Which is smaller: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, -1, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**7\/840 + m**6\/24 + m**5\/120 + 3*m**4\/8 + m**3\/3 + 2*m. Let t(a) be the second derivative of x(a). Is t(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 8. Let i = 250 - 258. Let l = i + t. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.71411 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 16*y - 18. Let h be z(17). Let i be (-4)\/h - ((-6 - -3) + -83). Calculate the highest common divisor of i and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 8:42 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - 6. Let b be p(-3). Let t(x) = -x**3 + 10*x**2 - 3*x - 4. Let u be t(b). Let r be 70\/u - 2\/5. Which is bigger: r or -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7975342 divided by -4?\nAnswer: 3987671\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -14.2. Let j = -1.3 - -1.4. Sort j, l, 4\/5, -0.5 in decreasing order.\nAnswer: 4\/5, l, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204535280 a multiple of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (432\/(-12) + 7)*-15. What is the highest common factor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 193*h**3 - 276*h**2 + 6*h - 3. Let n(k) = 580*k**3 - 826*k**2 + 16*k - 8. Let s(f) = 3*n(f) - 8*z(f). What is the third derivative of s(v) wrt v?\nAnswer: 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151130839.\nAnswer: 5639, 26801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335590128 divided by -648.\nAnswer: -517886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 70\/(-4)*(-228)\/95.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332441 (base 7) to base 3\nAnswer: -2222021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 3260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 6. Let u(a) = a + 1. Let f be ((-24)\/4*-1)\/((-3)\/2). Let k be f + (3 + -3 - 0). What is k*u(p) - r(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 63*z**3 - 18*z - 18. Let y = 1047 - 1042. Let u(c) = 18*c**3 - 5*c - 5. Calculate y*v(d) - 18*u(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 44114727?\nAnswer: -44114725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -879 + 879. Let l(n) be the first derivative of 0*n**5 + j*n**3 + 24 + 0*n - 1\/7*n**2 + 1\/7*n**4 - 1\/21*n**6. Factor l(p).\nAnswer: -2*p*(p - 1)**2*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 313988334 - 89.63.\nAnswer: 313988244.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -6*d + d. Let a(v) = -8 + 2*v + 36*v**2 - d*v**2 - 2*v. Determine a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -47.92, 1\/6, 3?\nAnswer: -47.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63? (a) 54\/19 (b) -5 (c) -0.5 (d) 0.2 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 7. Let t(w) = -3*w + 15. Give 2*t(u) - 5*y(u).\nAnswer: -u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -16.1 <= -0.025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -106, -98, -88, -76, -62, -46?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -26 - 0*(-2)\/(-8). Let b be (y\/39)\/((-2)\/9). Let u be 4\/5 - b\/(-15). Solve n = -u + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10517*k**4 + 19729*k wrt k?\nAnswer: -126204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from lzlbglvllgaaallab?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 13 - 33 = 0. Let b be (w - (-15704)\/4) + 4. Suppose -b = -t - 1245. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27583629022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127*n + 21992 + 12102 = 284 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270 - -278. What is the highest common divisor of x and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 + 14*u - 4. Calculate the remainder when 15 is divided by l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129.541 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1546764 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k**(6\/5)*k)\/k*k)*k\/(k\/(k*k**(-7\/5))))\/(k**(-13)\/k*k**(16\/3)*k) assuming k is positive.\nAnswer: k**(76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 7*x + 13. Let w(q) = q**2 + 6*q + 11. Let u(z) = 5*f(z) - 6*w(z). Let b(c) = 5*c**2 + 6*c + 6. Calculate -b(s) - 6*u(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9015.7 litres in millilitres?\nAnswer: 9015700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*t**5 + (t**2 - 5*t**2 + 5*t**2)*(0*t**3 + 0*t**3 - t**3) + (-3*t + 2*t + 2*t)*(-353*t**2 - 34*t**4 + 353*t**2).\nAnswer: -37*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 236323, 944984, 2126093, 3779656, 5905679, 8504168, 11575129, 15118568?\n\"Answer: q**3 + 236218*q**2 + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**2 + d. Let l be s(-1). Suppose l*v = v + 324. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttm when four letters picked without replacement from {t: 5, m: 4, j: 8}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18139 by 7043.\nAnswer: 18139\/7043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 5)\/((-5)\/(-5)). Suppose -h*y + 3*y - 6 = 0. Suppose 9*u = 8*u - y. Sort -3, u, -1 in decreasing order.\nAnswer: -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7924 is divided by 2579.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + sqrt(13))**2 - sqrt(13) - (sqrt(13) + sqrt(117)*4)**2.\nAnswer: -2181 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 3)*(58*i + 50*i + 3*i) + (-3*i + i + i)*(6 - 4 + 0) - 2*i + 0*i + 0*i as l*i + m and give l.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37*5\/(-35) - (-3 + 8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6307950 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.095 - -4.905. What is the fourth biggest value in y, -1\/2, 0.02, 4\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -3.4. Let b = 0.9 + 0.1. Let i = b + x. Put -2\/9, 4, i in descending order.\nAnswer: 4, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - j**5 + 2*j**5 + (-22*j + 24*j + 7*j)*((2*j**3 - 2*j**3 - j**3)*(6*j - 4*j + 0*j) - 3 + 4*j**4 + 3).\nAnswer: 17*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y - 2. Let f(c) = -126*c + 16. Let x(w) = -f(w) - 8*g(w). Let u(q) = 6*q**2 - 8*q. Determine u(x(l)).\nAnswer: 24*l**2 + 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 2:35 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 21 = 5*v, -5*v + 5*m + 1 - 6 = 0. Let r = 24.46 - -0.54. Let h = -21 + r. Which is the third biggest value? (a) v (b) 1\/14 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50733636?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 7 + 2. Let c(x) = -l + 0 + x + 3. Let q(z) = -5*z + 3*z**2 + 5*z. Give q(c(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -0.4, -3, -4.778, -1 in increasing order.\nAnswer: -4.778, -3, -1, -0.4, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 796308 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1770)\/11564)\/(30\/(-70)).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:21 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6657\/20 greater than -332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*h + 175464, 5*h - 98641 - 252257 = -4*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3705*y**5 + 12*y**4 - y**3 - 96597*y wrt y?\nAnswer: -74100*y**3 + 144*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 720 = -34*w + 102, 2*w = 4*j - 48 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 - (-219 + 105 + 147).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 658*o**4 + 2*o**5 - 12*o**2 - 5*o**3 - 5*o**3 - 654*o**4 = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 74897.89 nanograms?\nAnswer: 0.00000000007489789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10322112 + 23133130?\nAnswer: 100121302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t + t**2 + 8 + t**3 - 17 + 0 to p*t**2 + g + f*t + r*t**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 23 + 3. Suppose j + n = 8, -j - 4*n = -4*j - d. Suppose 5*k + j*u = 47 + 173, 245 = 5*k - u. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 2*l + 5 - l. Suppose 310 = 210*g - 301 + 191. Let p(s) = 17*s + 20. What is g*p(f) - 9*w(f)?\nAnswer: -2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0 (c) -980 (d) -6.1 (e) 2 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:39 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588966 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -1. Let h = 11 + -7. Let r be w\/h + (-1)\/2. Solve -5*t - 35 + r = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 2*a**2 - a**2)*(-3*a + 3*a + 10*a**3)*(-3 + 4 - 2).\nAnswer: -30*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2 - 96*b = 0. What is b?\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 - 2*z + 5. Let i(t) = -t**2 - t - 1. Let p(a) = 5*i(a) + q(a). Let g(f) = f. Determine 14*g(j) + 2*p(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnh when three letters picked without replacement from {f: 2, h: 3, n: 6, j: 1, c: 5}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 - -0.45. Let o = -0.13 - r. Sort -1\/7, -4, o.\nAnswer: -4, o, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140539*p**4 + 376*p + 183.\nAnswer: -1686468*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 40 = 3*p. Suppose -2*s + s - p*c = -3139, s - 3135 = -2*c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = 2*i - 10, 5*i = -15. Solve z*o - 2*p = p + 21, 0 = -o + p + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*a**2 - 47*a**2 - 13*a**4 - a**4 + 6*a**4 - 3*a**4 + (242*a - 41*a**2 - 242*a)*(2*a - 2*a**2 - 2*a) as l*a**3 + f*a + p*a**4 + b*a**2 + d and give p.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37\/21 + -10\/7. Let w = -3 + 0. Let d = -11 + 14. What is the closest to -2\/7 in u, d, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152434.\nAnswer: 2, 199, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31635 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)*2 + -1 + (sqrt(432) - ((-2 + sqrt(432))**2 + 2) - sqrt(432)).\nAnswer: -439 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16501746.5999929 - -16501919.6. Let k = 0.63 + -173.63. Let r = k + p. Round r to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1 + (0 - 2 + 3)*(1 + 2 - 1) - 3 + 3 + 3)*(2 - 2 - g) to the form i + z*g and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 m when four letters picked without replacement from wwwvmsswmwwsvmwwwwm.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 282654379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Factor c**5\/2 - 411*c**4\/2 + 11616*c**3 - 177664*c**2.\nAnswer: c**2*(c - 347)*(c - 32)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -55. Suppose -c + s = -2*v + 2*c, 2*c = 10. Suppose 0 = j - 5*i - 907, -i - 849 = v*j - 5280. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67 - -1) + 0 + -53 + 53 - (0 + 9).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29679970403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-45)*-3*(-6)\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 66. Let o be h(21). Let b be (-1)\/o*(-2 + 9\/4). Let q = -81.05 - -81. What is the second smallest value in b, 2\/15, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2444352.\nAnswer: -4888704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 7*d + 17. Let f be n(8). Suppose -2*t - x = f - 47, -3*x - 33 = -t. What is the derivative of -9 - 3 + 9*w**2 - t*w**2 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times 36.862\nAnswer: -6.26654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 4*u + 4. Let m be q(3). Let f = -5 - -3. Sort 3, m, -3, f.\nAnswer: -3, f, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-7)\/u)\/u)*u*((u\/((u\/u**6*u)\/u))\/u)\/u)\/(u\/(u*(u\/(u*u*u*u\/u**(2\/5)*u))\/u))**(-31\/4) assuming u is positive.\nAnswer: u**(993\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*z - 4 = 0, 4*z = -0*z + 8. Solve o*v - 20 = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 10*o - 541 = 4*t - 3*t + 2*t, 0 = -t - 5*o + 272 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/84)\/((-5012)\/672 - (-5)\/(15\/24))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 9 = 2*b, 0 = -b - b + v - 13. Let w(j) = 3*j. Let t be w(b). Let q = t - -21. Solve 5*m - 13 = q*a, 3*m - 8 = a - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, v: 5}. Give prob of sequence cvcc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*n - 68 = 38, 0 = 3*n + 6. Let c be (-8)\/(-12)*1*15. Calculate the greatest common factor of c and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 6*l**2 - 7*l**2 + l**2 - 9 + l**2 to m + v*l**2 + d*l and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -0.28 (c) -1\/3 (d) -2\/5 (e) -0.1 (f) -1530\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251.096 + 249. Let b = 0.1 - 2.1. Let h = b - q. Round h to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -23. Suppose -4*o + 149 = -3*f + 9, -2*f - 104 = -m*o. Let y = o - 28. Solve 3*d = -y*v - 12, -4*d + 2*d - 2*v - 6 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 31*v**2 + 35*v + 74. Is t(33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 12*a - 10. Let m be w(10). Suppose -m*p + 4*p + 30 = 0. Solve -4*g + 4*h = -12, 0 = 4*g + g - 3*h - p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*m - 52*m - 2 + 111*m)*(8 + 10 - 52).\nAnswer: 1598*m + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {k: 7, c: 5, v: 7, g: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/48)\/(399\/(-38))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.3 + -9.85. Let r = q + -0.15. Let v = 2.4 - r. Which is the closest to v? (a) -1 (b) -5\/3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117650536*b**4 - b**3 - 141*b**2 + 1561182*b wrt b?\nAnswer: 2823612864*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 10. Suppose -t - 5 - 8 = -5*b, -3*t - 4*b - 20 = 0. Let f = x + t. Let l(a) = a**3 - 2*a**2 - 3*a + 3. Give l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150616?\nAnswer: 2, 67, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.6298631 + -22860.\nAnswer: -22871.6298631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 7*i - 6. Let r be q(6). Suppose 3*n - s - 123 = -2*n, 2*s = 4*n - r. Calculate the remainder when n is divided by (1 + 0)*18\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 15. Suppose 0*m + t = m, 2*g + 2*m - 68 = 0. Solve 5*b + g = -v, -4*b + 2*v - 5 = -v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -716 + 32447. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**3 + 2*k**2 + 1. Does 5 divide q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 6027*r**2 + 920224*r.\nAnswer: -r*(r - 149)*(r + 6176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 l when four letters picked without replacement from kzzmwllllwkv.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29957548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 1\/2 (c) 2\/21 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5537797 = 15462203. What is v rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*t - j + 3, t + 10 = -3*j. Let f(m) = m**2 + 5. What is the units digit of f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/(12\/(-70)). Which is greater: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140 - -148. Let q be (0 - 0)\/(t - (4 + 3)). Suppose 13*b - 14*b + 3 = q. Solve 8 = -5*j + j - 5*i, -2*j = -b*i + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1846 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/17 (b) -2 (c) -26221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.5, 1\/6, 112?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-5 - (-3 + -8)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1613, 1616, 1619, 1622, 1625?\n\"Answer: 3*l + 1610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -23*d + 677. Let p be m(19). What is the greatest common divisor of p and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + 74.45716018.\nAnswer: 74.44716018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2452 + 5?\nAnswer: 2501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5*t + 11, -5*t - 2 = f + 6. Which is bigger: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x - 0*x. Let s(d) = -d**2 + d + 2. Determine s(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1535899 and 1623?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 + (25 - 37)*3\/6. Solve -2*t - 3*i - 1 = 0, -q*i + 18*i + 19 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 14) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 42*f**3 - 84*f**2 - 200*f - 68. Give t(-2).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53760 and 2400?\nAnswer: 268800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -300*p**2 + 147*p**2 + 155*p**2. Let j(z) = 66*z**2. Determine j(y(l)).\nAnswer: 264*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. Calculate the greatest common divisor of l and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 + 2 + -1 + 1 + 66 + -66 + 9?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 = -m - 4*g, 1053673*g - 1053676*g = -5*m + 86 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -160 + 234?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -d - 3*d + 8, 0 = d + o - 1. What is the second derivative of 4*n + n + n**d + 0*n**3 wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, e: 1, q: 3}. What is prob of sequence quq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 966*a**2 - 10*a + 9. Let y be n(6). Let q = 21600 - y. Let o be (-5120)\/(-2)*q\/6. What is o rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3483\/227 at least as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 336\/210*(15\/(-2))\/3 + 7200. Calculate the greatest common divisor of f and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/((-3)\/(-4)). Suppose -127 = -12*z - 1207. Let n = -268\/3 - z. What is the third biggest value in 2\/7, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 106*x + 4 - 123*x)*(1 + 16 + 0).\nAnswer: -289*x - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429991 is divided by 3805.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/28 and -83\/6084.\nAnswer: 42588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, u: 4, y: 3, c: 1, k: 3, q: 5}. What is prob of sequence puqu?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(612) + sqrt(612) + sqrt(612) - sqrt(612))**2*-2 - (sqrt(612) + 3 + sqrt(612)*4).\nAnswer: -4901 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-26 + 78 - 28) + -2 + -2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*z + 10. What is the second derivative of 3 - 7*l - 1 - 4 + 402*l**3 - 368*l**3 + z*l**2 wrt l?\nAnswer: 204*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 101, 100, 95, 86, 73, 56, 35?\n\"Answer: -2*w**2 + 5*w + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*k**2 + 168 - 2*k**2 - 81*k**2 + 175*k + 77 + 5*k**3.\nAnswer: 5*(k - 7)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*x - 140 = 616*x + 8*w, x - 4*w - 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.50140363 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-7)*(-308)\/88.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 2*c + 1. Let t(h) = -1191*h**2 - 4764*h - 2382. Calculate 2382*k(u) + t(u).\nAnswer: 1191*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + v = -18, -120*j + 118*j - 4*v - 2 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w + 28. Determine p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 + 39*w - 120 = 0. Calculate w.\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:54 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.119952 + -0.12. Round n to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from {y: 1, a: 2, i: 1, m: 1, p: 1, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + ((-2 + sqrt(180))*6)**2 + -2).\nAnswer: -39732 + 5184*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5174 by -2.\nAnswer: 2587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 + 31*i + 14 - 11*i - 2*i**2 + 2*i**2. Let q(t) = t**2 - 7*t - 5. Let y(z) = 2*j(z) + 7*q(z). Let g = -17 - -10. Give y(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, h: 4, y: 2}. What is prob of sequence ryrh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4965\/1324)\/((-3)\/96*2).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(14)\/(sqrt(8)\/sqrt(4))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*x, -3*l - 4*x - 22 = -l. Let k be 40\/42 + 12\/(-42). Which is the nearest to l? (a) 2 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(162) + (-1 + sqrt(162) + sqrt(162))*-5)**2.\nAnswer: -486*sqrt(2) + 13131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*l + 46200000, -2*k = -5*k + 4*l - 138599992. Let j be (-5 - -4 - 7) + k. What is j rounded to the nearest 1000000?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3946040, -7892081, -11838122, -15784163?\n\"Answer: -3946041*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -5, -126\/11, 30, 0.7, -2\/13?\nAnswer: -126\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 2\/27*l**4 + 0*l**2 - 1\/63*l**7 + 0 + 1\/27*l**3 + 1\/45*l**5 - 4\/135*l**6 - l. Determine i, given that q(i) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -61212*i - 306060. Let h be j(-5). Factor 22\/3*n**4 + 0*n + h - 2\/3*n**5 - 26*n**3 + 30*n**2.\nAnswer: -2*n**2*(n - 5)*(n - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.9? (a) 5\/3 (b) -1\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4545*g - 4637*g + 1288 = 0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0 + 4. Suppose -4*g + 4 = 4*b - g, y*g + 2 = -5*b. What is the tens digit of (b\/(-4))\/((-5)\/(-150))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3256, 13035, 29336, 52159, 81504?\nAnswer: 117371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/66*87\/(-58)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5 - 25. Let w(c) = c**2 + 5*c + 5. Let d be w(q). Let v(f) = 10*f - 18*f + 0 + d - 2. Give v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147.\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21231 (base 4) to base 8.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/6*12\/(-8) - 1. What is the tens digit of (530\/30)\/((-1)\/t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 18288 = 18496 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 5*t - 1. Let m be c(4). Let o be (-36)\/(-15)*10\/m. Let w = o - 5. Solve v = r + 1 + w, 4*r + 14 = 3*v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u + 56*u = 4991. Let r = -670 - u. Solve -6*c - 13 = -r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + sqrt(450)*2 + sqrt(50))\/(2*sqrt(250)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17496 - 17493. Let i = 0 + 6. Solve v = i*w + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1031 + 511. Let j = d - -520.4. Put j, -0.3, 0, -1 in ascending order.\nAnswer: -1, -0.3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*i + 208 - 218, 0 = 5*i - 4*r - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 14. Suppose -8*r = -l*r + 18. Let v(n) = 7*n**3 + 5*n**2 + 0*n**2 - 6*n + n**2. Let y(x) = -x**3 - x**2 + x. Determine r*y(i) - v(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5359 - 69669\/13. Let g = 1.4 - -0.2. Let u = 1.3 - g. What is the nearest to -0.03 in u, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + 3.94. Let u = 3.99 - x. Let s = u - -0.00999. Round s to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 + 150. Calculate the remainder when a is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 60*t - 153.\nAnswer: -3*(t + 3)*(t + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(5)*2)\/sqrt(80) - (4 + sqrt(48)\/(sqrt(8)\/sqrt(2)*5)).\nAnswer: -4 + sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -606 - 519*j**2 + 1560*j**2 - 521*j**2 - 523*j**2 - j in the form n*j + z + t*j**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 3 - c**2 + 0 - 4 + 0. Let v(x) = 7*x**2 + 8*x + 8. Determine 24*m(h) + 3*v(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*1\/8*(-60)\/(-75). What is the nearest to 5 in 1, z, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -215.20583 - 0.477.\nAnswer: -215.68283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25347 divided by -6?\nAnswer: 8449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/24 + 2*h**5 + 30*h**4 - 2435*h**2. Factor p(r).\nAnswer: 5*r*(r + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2. Let c(x) = -x + 11. Let h be c(9). Let w be (-3 - -1)\/(-2)*h. Let k(r) = 0 - 9*r**2 + 10*r**w + 0. Calculate j(k(d)).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**4 - 2*l**3 + 2*l - 2. Let s(f) = -10*f**4 + 3*f**3 - f**2 - 3*f + 3. Let h(b) = 3*q(b) + 2*s(b). What is the third derivative of h(y) wrt y?\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54881.2415 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -0.079\nAnswer: -21.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22953, 22884, 22813, 22740, 22665, 22588?\nAnswer: 22509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 52 = 2*z, -2*z + 104 = -6*z - 2*r. Let t = -3 - z. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36*(-9)\/(-36) - 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1c?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/4)*x\/x**(-8\/3))\/(((((x*x**1*x)\/x)\/x)\/x)\/x)**4 assuming x is positive.\nAnswer: x**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*m - 40, 5*q + 4*m - m = 48. Suppose -3*r = -3*u + q, u - 17 = -2*u - r. Suppose -2*z - 5*f + 9 = 0, 0 = -2*z + 5*z + u*f - 6. Is -2 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49302 greater than -49282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 194750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18*1\/2 - 18060\/2014 and 85\/4.\nAnswer: 4028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 526*m - 299*m - 344*m as q*m + b and give q.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8280*h**2 - 2591*h + 36. Let u(i) = i**2 - 4*i + 6. Let t(a) = l(a) - 6*u(a). What is the second derivative of t(z) wrt z?\nAnswer: 16548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4722952217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from gvgvgggvevggvggve.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 1. Let y be (3\/6)\/((-1)\/4). Let w be c(y). Find the third derivative of 3*l**4 + 3*l**2 - w*l**4 - 5*l**2 wrt l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.3 (c) -1\/41 (d) 5 (e) -4 (f) -108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -1\/5*m**2 - m + 14\/5 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 920*j - 919*j + 50, 3*n = -6*j - 120 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 1, 5 in descending order.\nAnswer: 5, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 178 = -2*j, 4*j + 36*u - 8 = 32*u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.1. Suppose -6*f + 3*f = 0. What is the nearest to f in -1, -2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 311174*k**2.\nAnswer: -2*k**2*(k - 155587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -194.2 + 194.1. Which is the second smallest value? (a) n (b) -1\/7 (c) -2\/5 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1006 (base 7) to base 16\nAnswer: 15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/27*(-1 - 22\/(-4)). Suppose 6 = o*g - 9*g. Is 10 a factor of (1 + g)\/((-9)\/(-159))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 568 and 426?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2\/3 + 348976*w\/3 + 116326 = 0.\nAnswer: -1, 174489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 3*b**2 + 3*b - 3. Let u be f(-5). Let z = 38 - u. Calculate the greatest common factor of z and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-3)*(-114)\/(-18). Solve -7 + z = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-8)*(3 - 1). Let d be a\/((0 + -1)*1). Let c(b) = b**2 + 3*b - 3. Determine c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19287 divided by 1\nAnswer: -19287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29105.622 nanoseconds?\nAnswer: 0.0000004850937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 - 3*j + 1. Let c be y(1). Suppose 2*o + 3*a + 1 - 3 = 0, 0 = -c*o + 2*a + 2. Suppose 0 = -5*v + 1 + 14. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -62) + -32 + 5 + -7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5.23 times -11056\nAnswer: 57822.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263.2*-0.000919.\nAnswer: -0.2418808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 6*d. Let t = 16 + -4. Let z = t + -7. Calculate r(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48545 (base 11) to base 6.\nAnswer: -1255242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 3265*p - 1060290.\nAnswer: 5*(p - 891)*(p + 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7 or -3994980?\nAnswer: -3994980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48*(4\/14)\/(2*(-42)\/147)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95997732.\nAnswer: 2, 3, 7999811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69525 and 22950?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/3 - 2\/(-2). Suppose 2 + r = -i + 2*b, b - 2 = i. Suppose i = 4*u + 3*f - 18, u = -u - 3*f + 12. Solve 0 = 5*q + 2*n - 5, 5*q - 2*n = u*n - 30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4141 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 10, w: 2, h: 3}. Give prob of picking 2 u and 1 a.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1053)*3 + 1)*-3)**2.\nAnswer: 1134*sqrt(13) + 85342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*b**2 + 117*b**2 - 97578 + 32526 + 32531 + 32521.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(250)\/(sqrt(10)*3))\/(sqrt(240)\/sqrt(12)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/15 - 22*x\/15 - 56\/15.\nAnswer: -2*(x + 4)*(x + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**3\/3 + 7*c - 22. Let o(g) = g**2 - 8. Let x be ((-1)\/(-2))\/(3\/(-42)). Suppose 1 = v + 7. What is v*o(s) + x*j(s)?\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 3. Let y = 40 - 15. Calculate the remainder when y is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7988022 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + 3.92. Let s = h - 3. Put 0.5, -4, s in descending order.\nAnswer: s, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 364, 312, 260, 208, 156?\n\"Answer: -52*n + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -9. Suppose b*s = 2*z + 4, -5*z = 3*s + 44 - 3. Is (z\/28)\/(2\/(-1528)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - h**4 + (-2*h**4 + 2*h**4 + h**4)*(-5 + 5 + 2) + 2*h**4 + 0 + 0 + (0*h**2 - 8*h**3 + 0*h**2)*(-h + 2 - 2).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10*w - 5*w + 40 = 0, -c = 3*w + 22. Let m(x) = x**2 - 9*x - 5. Let s be m(-6). What is the units digit of 2127\/17 + c\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - f + 5*f + 0*f - 193 = 0, -k - 106 = -3*f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:56 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -909038 times 4?\nAnswer: -3636152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1925 and 212135.\nAnswer: 1060675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011101101 (base 2) to base 5.\nAnswer: 20021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 3. Let k be w(7). Let r be (12\/15)\/(k\/(-10)). Suppose r*n - 7*n = -25. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 3*v - 3 - v. Let m(q) = q + 2. Let d be 3\/(-9)*(1 - -2). Let u be 2*(-5 + (-3)\/d). What is u*m(o) - 3*r(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 22711?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 - 126 = 26*w - 1818 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4859996 = 3*b + s, -4*b + 2*s + 6479994 = -8*b. Let w be 4\/(-12) + b\/3. Round w to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2281550666 by 2.\nAnswer: 1140775333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 - 62*z - 316. Determine c(26).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*a - 290*a - 308 = 0. Let u(s) be the third derivative of -s**4\/24 + 3*s**3\/2 - s**2. Calculate u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -84. Which is the nearest to -0.1? (a) z (b) 4\/7 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 8*h**2 + 12*h - 12. Let b be d(9). Let w(p) = -p**2 + 15*p - 2. Let i be w(b). Is i\/((-9)\/((-14724)\/(-8))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/9678550 and 21\/6913250.\nAnswer: 48392750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142612384?\nAnswer: 2, 257, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 37081.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1134*k + 16980. Give u(15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -2*k + 10, 0 = 4*k - 5*z - 22. Suppose 2*h + k = 5*y, -5*h - 4*y = -0*h - 13. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -2\/83, 0, 4, -7\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89020.39926 + -89058.4. Let n = c + 38. Round n to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102222 (base 3) in base 5?\nAnswer: 13202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 89. Let a be ((-16)\/(-14))\/((-12)\/b). Determine i so that -a - 2\/3*i**2 - 8\/3*i = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhoi when four letters picked without replacement from onhhhninoooso.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/15171 and -155\/66.\nAnswer: 333762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/3 - 19*k**4\/3 - 21*k**3 - 65*k**2\/3 - 22*k\/3.\nAnswer: k*(k - 22)*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 32*q**2 + 20*q**2 - 10*q**2 - 34*q + 3*q**3 - 59*q - 66.\nAnswer: 3*(q - 11)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26963 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46 + (-12)\/(16\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 11*w - 2 = 0. Let p be (w + -6)\/(4 - 98\/24). Let h = p + -76. Solve 0 = 3*a - 4 - h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -47, -2, 5, -6, -14 in ascending order.\nAnswer: -47, -14, -6, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:30 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180 + -177. Let p(n) = -11*n**3 + 48*n**3 - 20*n**f - 5*n + 6 - 3*n**2 - 16*n**3. Suppose -4 = -o + 2*d, 0 = -o + 3*d - 2 + 6. Give p(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2067 + -1310. Let a = c + -638. What is the lowest common multiple of a and 51?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*i + 619*i = -238*i + 3474 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -14.08.\nAnswer: -13.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/9 - 44\/(-6). Suppose d - 22 = 2*c - f*c, 3*d - 38 = -5*c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22630, 45220, 67700, 90016, 112114?\n\"Answer: -9*g**3 - g**2 + 22656*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/((-7)\/(-147)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-77)\/(-14)*(-10)\/(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 11100010?\nAnswer: -11011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 143?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 81? (a) -0.2 (b) 4\/7 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3055 - -3054.6. What is the nearest to 0 in i, -0.06, -0.14, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**20*l**(1\/28)*l assuming l is positive.\nAnswer: l**(-503\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose -w - 5 = -4*k. What is the third derivative of 0*r**3 + 3*r**k - r**3 + 0*r**2 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.52, -0.2 in descending order.\nAnswer: -0.2, -1\/3, -0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1202213004 - 2?\nAnswer: -1202213011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.395 + 0.31. Round n to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 7*i + 5. Let y be q(-4). Let s(l) = l + 9. Let d be s(y). Suppose -15 = d*j - 7*j. Which is the biggest value? (a) -0.4 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.41 + 0.51. Which is the smallest value? (a) r (b) -1 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 11248.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 645398234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 2*b**2 - 2*b - 4. Let j(x) = -5*x + 28. Let w be j(6). Let n be l(w). Solve n = 2*r + 5*d + 10, 0*d - 17 = -5*r - 2*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/7 + 2244*c**2\/7 + 457743*c\/7 + 4048902.\nAnswer: 3*(c + 143)**2*(c + 462)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 309532 in 1, 3\/2, 13, -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 28*j**2 + 10*j - 34. Give f(-14).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552494 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*u - 10640 = -443*u - 356*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = 29*k. Is 393\/(-2)*((-2)\/3 - k) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(8)*1 + (sqrt(800))**2).\nAnswer: -3200 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*(126\/27)\/7 + 38\/48\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + 2212010000022?\nAnswer: 2212002222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 - l**4 - l**3 + l**2.\nAnswer: l**2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48698 - 309982?\nAnswer: -261284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 550*x + 8. Let r(s) = 7155*s + 108. Give -27*f(z) + 2*r(z).\nAnswer: -540*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 334447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**4 + 3*k**4 - k**4)*(-4 - 5 + 3)*(-3 + 1 + 1 + (4 - 4 + 2)*(4 - 3 + 0)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-2 - (-5)\/3))\/(605\/(-363))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 395*c**4 - 13*c**2 - 6*c wrt c.\nAnswer: 9480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 75*y**3 + 5*y. Let j(o) = 371*o**3 + 2*o**2 + 27*o. What is 3*j(l) - 16*s(l)?\nAnswer: -87*l**3 + 6*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 14*x**2 + 117*x - 780. Give g(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211880 or 97?\nAnswer: 211880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atatxartart. Give prob of sequence xrt.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625.2219 meters to micrometers.\nAnswer: 625221900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 2*q - 1. Let d be o(1). Let f(i) = 5*i**3 - 216*i**2 + 40*i + 136. Let y be f(43). Solve d = -y*b + 2*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b = -30. What is the remainder when 29 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.23057 decades in years?\nAnswer: 112.3057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4282, 8, 2 in descending order.\nAnswer: 4282, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1012)\/4301*102\/144*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5 + 33950.08.\nAnswer: 33953.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, -2\/95, -22, -1\/7?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43 + b2?\nAnswer: 6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 138051 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*w - 28598 - 1898, -2*w - 3*a = -12187. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - t - 8*t - 8*t**2 + 8 + 3*t. What is the units digit of h(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 * -0.00921\nAnswer: -1.20651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186\/5 + 37. What is the nearest to -1 in p, -5\/6, 2\/7?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**7*r*r**6)**(-44))**(-44) assuming r is positive.\nAnswer: r**27104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (-1 + -1)\/(-1). Let z = 4 + r. Sort 3, 0, z in increasing order.\nAnswer: 0, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8188 and 5292652.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, 0.8, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 12*a**2 + 3. Let j be t(7). Is j less than 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 717203 or 717194?\nAnswer: 717203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13805753411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10034 and -0.6062545.\nAnswer: 10033.3937455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0.3. Let q = -3.3 + 2.3. What is the nearest to q in g, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -19. Let b = 7 - s. Suppose 3*x = 8*x. Is x < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*-3*3 + (sqrt(1573) + -2 - (-3 + sqrt(52))))*1.\nAnswer: -90*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.9 + 4.01. Let c = a + 5.89. Let v = -9.2 + c. What is v rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-3 - (2 - (0 + 8)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-49)\/(-14))\/((-1)\/(-2)). Suppose -3*q + g*q = -2*o + 10, o = 3*q. Let p = 3 - 1. Calculate the remainder when p is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.3211 tonnes in nanograms?\nAnswer: 831321100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 140.88 and -45.85.\nAnswer: 95.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -111?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttottsttosttooosstot. What is prob of picking 1 t and 1 s?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183\/(-244)*160\/18 + 6 - (-9350)\/66.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 - 421*v - 551. Give g(83).\nAnswer: -1049","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -4\/1549391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9764?\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one-hundred-and-one halves of a meter?\nAnswer: 5050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 10513*b - 83962. Give d(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 k, and 1 t when four letters picked without replacement from luaulkuatuaaaautaa.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94544959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t**(-12)\/t))\/t)\/t**(-11) assuming t is positive.\nAnswer: t**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 194\/4*(24 + -22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 12:46 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8321, 66147, 223089, 528701, 1032537, 1784151?\nAnswer: 2833097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02509 rounded to 3 dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309720*c**5 + c**4 - 2*c**2 - 33*c + 9346 wrt c?\nAnswer: -6194400*c**3 + 12*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -427 - 3c?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*y = 0. Let p be -3 + (5 - 4 - y). Let r = -7 + 10. Put p, 4, r in ascending order.\nAnswer: p, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - -4*-1*sqrt(2299)) + sqrt(2299) + sqrt(2299) + 2 + 0 + sqrt(2299) + sqrt(2299) + sqrt(2299)*1*2 + -5 + -3)**2.\nAnswer: -396*sqrt(19) + 20727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3921, 14472, 31649, 55452, 85881?\nAnswer: 122936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b84039 + -1?\nAnswer: 1b84038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 228 and 2042995256.19?\nAnswer: 2042995028.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (2 + (-5)\/(-1)). Let l be 88\/(-6)*1*f\/4. Solve -h = -15 + l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 2*x + 1. Suppose -5*g = -k + 27, 4*k + 0*g = -4*g - 12. Calculate w(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 32 = 2*b + 26, 3*p = -3*b + 27. What is a in -3*a**3 + p*a - 5\/2*a**2 - 1\/4*a**4 + 11\/4 = 0?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/24*(-86)\/6. Let d = 9\/8 + v. Sort -2\/11, d, -0.1 in increasing order.\nAnswer: d, -2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/((-14065)\/11640 + 4\/(-6))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 968?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619.922 rounded to the nearest 10?\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 g when four letters picked without replacement from {j: 2, g: 4, a: 3, q: 6}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, x: 6, b: 5}. What is prob of picking 2 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j - j - 2*j)*(-13 + 17 + 13)*(9 - 12*j - 11 - 4) in the form s + x*j + g*j**2 and give x.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 380 + -380.1. Let w be (-2)\/(-18)*6\/4. Which is the nearest to g? (a) 5 (b) w (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45782830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 - 3.84. Let s = p - 0.06. Which is the second smallest value? (a) 2\/3 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/40 + b**5\/4 + b**4\/4 - 4*b**3 + 25*b**2. Factor z(q).\nAnswer: 3*(q - 1)*(q + 2)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1957*i**2 + 2314*i**2 - 1485*i**2 + (-4*i + i + i)*(-3*i - 2*i + 6*i).\nAnswer: 2784*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -7, 2, -10, 4.\nAnswer: -10, -8, -7, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3464, -10707, -25500, -51617, -92832?\n\"Answer: -629*l**3 - l**2 - 2837*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*u + 19 = 0, -u + 14 = -t - 3*u. Let y be (4 + -3)*(4 + t). Let k = -14 - -23. Solve 3*q + 4*o = -k, y*o + 3 = -q + 3*o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -f + 3*f. Suppose -9*t + 21 = -96. Let a = t - 4. Calculate the remainder when f is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 1. Let m be j(-9). Let h = 30 + m. Suppose -5*d - 3*o = -h, -2*o - 2*o = d + 11. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -118385?\nAnswer: -39\/118385","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put 6301\/3, -1\/3, -11, -73 in descending order.\nAnswer: 6301\/3, -1\/3, -11, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -11, -51, -115, -203, -315?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8592.87 millilitres?\nAnswer: 8.59287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4175694 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 1. Let t be m(2). Let w(y) = y**2 - 7*y + 6. Let f = -324 + 330. What is the least common multiple of f and w(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and -0.035029.\nAnswer: 11.964971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.61, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from fppfp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 326?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (12 - ((-25 - (-2 - 9)) + 13))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 - 5*p**2 - 3*p - 2. Let f be k(3). Sort 4, f, 0, -5 in decreasing order.\nAnswer: 4, 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 4*m + 5. Determine s(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1911042, -3822080, -5733118, -7644156, -9555194?\n\"Answer: -1911038*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by (-340)\/238 + (-258)\/(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-21)*((-39984)\/126)\/(-136).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:16 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(((-80)\/8)\/(-10))*1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22740427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 12*a**2 - 12*a. Let q be w(12). Let u = q - -271. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50 + (6\/(-9))\/(4\/18). Which is the smallest value? (a) z (b) -5 (c) 0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/100*-18*-105*24\/(-432)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -2. Let p = d + 8. Suppose 19*w - 16*w - 3*l - 15 = 0, -4*w + 20 = 2*l. Sort w, p, -4.\nAnswer: p, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67334 and 1048?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -5*x + 1099. List the prime factors of x.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 0, -20 in decreasing order.\nAnswer: 9, 0, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 357870 and 43941?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -9.8. What is the closest to 0.1 in -3\/5, -1\/4, l, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39806 * -0.039\nAnswer: -1552.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121425*a**3*h**2 + 4*a**3*h - 27*a**3 - 10*a**2*h**2 - 6*a*h + 5740*h wrt h?\nAnswer: 242850*a**3 - 20*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 114 and -0.309.\nAnswer: 113.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, r: 4, h: 2, w: 1, p: 1, t: 1}. What is prob of picking 1 t and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -28. Let n = o - 27. Let u = 69\/28 + -12\/7. What is the closest to -1\/3 in -2\/5, u, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-14))\/(g**(-1\/36)\/g*g)*(g\/(g\/g**8))**(-2\/51))**12 assuming g is positive.\nAnswer: g**(-8131\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129952 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**5\/60 - 5*c**4\/12 - 7*c**3\/6 - c**2. Let j = -49 - -40. Let u be g(j). Solve -u*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -18*a**2 - 16*a - 38. Let d be r(-11). Is 7 a factor of (8\/20*-1)\/(12\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35176608 and 348?\nAnswer: 1020121632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-930)\/(-217)*620\/(-93).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*q + 234*q + 372 = 0. Let m(n) be the first derivative of -n**4\/4 + 5*n**3\/3 + 7*n**2\/2 - 1. Calculate m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 - 102 - (2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*f**2*k**2 - 2*f**2 + f*k**5 - 21*f*k + f - k**2 wrt k.\nAnswer: -132*f**2 + 20*f*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(-70) + 0 + 21 + 137\/((-49868)\/7800).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 1 + 9)*(2 + 1 - 2)*(-2*m - 2*m + 6*m)*(-8*m + 21*m + 13*m).\nAnswer: 936*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*z**3 - 17*z**3 + 7*z**3.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11791.7 - -11792. Let g = -0.21 - -0.01. Which is the nearest to 0? (a) 8 (b) g (c) -0.5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1807 plus 23.97?\nAnswer: -1783.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001250813 to seven dps.\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 3*l**2 + l + 2. Let c be x(2). Let b be (1 + -1 - -1)\/(-1). Let v = b + 5. Put v, -2, c in decreasing order.\nAnswer: v, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94275*b**2*i - 7371*b**2 with respect to i.\nAnswer: 94275*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**3 + 18*m**2 + 48*m + 3. Give x(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6*o + 16. Suppose 0 = o*h - h - 175. Calculate the highest common factor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368*b - 1720 = -5345 - 11831. Sort b, 5, 0.3, -0.4, -3 in increasing order.\nAnswer: -3, -0.4, 0.3, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 4, -3*y = -5*o - 20. Which is greater: -4\/13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1193\/993167 - 4\/2677. Let l(d) = -d**3 + 2*d**2 + 12*d - 17. Let m be l(4). Is c < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-1 + (-7)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -151 (c) 1\/7 (d) 49924\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(396\/30) + 3 + -4. Which is the nearest to -1? (a) v (b) -0.3 (c) 8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.36 in -1\/3, -3\/7, -1, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 417350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h*k*t + 41*h*k*w - 2*h*k + 12470*h*t*w + 10*h*t + 3*k*t*w - 78*k*t + 8*t - 1 wrt w?\nAnswer: 41*h*k + 12470*h*t + 3*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1289 times -3?\nAnswer: 3867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 160*l + 38 wrt l.\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = -4*v + 10*j - 12, 0 = -5*j - 30 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 13. Let q be ((-14)\/(-3))\/((-20)\/30). Let z = a + q. What is the greatest common factor of 8 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99070.2 minus -241?\nAnswer: -98829.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 74 = 3*s, -3*m + s = 28 - 74. Suppose -20*q = -m*q - 4. Solve 5*c = -5*f + 10, 0 = 4*f - 2*c - 3 + q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2399033708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(11\/(-88)*-132 - 17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 10. Suppose -p - 2*p = -15, -z = -v - 4*p. Sort 0, v, 1 in increasing order.\nAnswer: v, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1422652 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -20.778.\nAnswer: -20.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0\/3 - 53)\/(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 - -102?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.506? (a) 0.2 (b) 1\/2 (c) 0.1 (d) 1\/14 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21 * 0.004\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87723 - 111041 = -469*k - 2454*k for k.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 4. Suppose -b*c + 15 + 25 = 0. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16, 21 in descending order.\nAnswer: 21, 16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a hour in seconds?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 + 1.97. Let g = 1.5 - c. Let n be 1 - -1 - (-27)\/(-12). What is the closest to 1 in n, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 - 3*n**2 - 16*n + 4*n**2 + 14*n**3 - 13*n**3 - 5*n**2 in the form t*n**2 + m*n**3 + l + k*n and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4589 - -7390. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/4)\/((-3)\/(-273)) and (-2)\/(-8) + 34\/32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from tdwttwhhhtdk.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let a = 1 + f. What is the third smallest value in -2\/3, 5\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**3*h + 31*a**3*t + a**2*h - 85*a**2*t - 2*a*t + t wrt a.\nAnswer: 42*h + 186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0419 from 3824.\nAnswer: 3823.9581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 k when three letters picked without replacement from kkkittykgk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 509\/8. Let u = 50657 - 455911\/9. What is the closest to 1\/2 in u, 0.2, -1\/5, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {q: 5, i: 1, v: 12}?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 412029092 and 1137.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:36 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 9*t**2 - 8*t + 20. Let u be o(-10). Let x be (0 - -1)*1*-1. Let f be (25\/2)\/(((-1215)\/(-54))\/9). Put x, u, f in descending order.\nAnswer: f, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p**2 + 13*p**2 + 95 - 96.\nAnswer: -18*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, 5, -33.68, 4, -34, 0.1?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 116293.11 and -575?\nAnswer: 116868.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1954 + 1956. Which is the nearest to -1? (a) n (b) 1\/2 (c) 5 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4176901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, -575, 350, 5, 3, -5 in descending order.\nAnswer: 350, 5, 3, -1, -5, -10, -575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 222*c**3 - 666 - 73*c**3 + 135*c**3 + 1106 wrt c?\nAnswer: 852*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265450 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 53832 times 14\nAnswer: 753648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 63004.72?\nAnswer: -31502.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10*r**3 + 344*r**2 - 126*r - 413. What is y(34)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 + 6)\/((-2)\/(16\/20)). Factor 32\/7 - 16\/7*o + 2\/7*o**k.\nAnswer: 2*(o - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335722043049 take away 3445?\nAnswer: -335722046494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) 8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 126204444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/117 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v**2 + 0*v - 38 - 4*v**3 + 3\/5*v**5 + 0*v**4. What is the third derivative of g(k) wrt k?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 15, 12, 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/343 and 27\/1127.\nAnswer: 7889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -14 - 16. Let l(q) = -q**3 - 5*q**2 + 5*q - 2. What is the remainder when l(n) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**2 - 170*m**3 + 7*m + 110*m**3 - 6*m**4 + 194*m**3 wrt m?\nAnswer: -144*m + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -240*p + 27. Let b be w(-5). Suppose -5*y + 5*q + b + 2188 = 0, 4*y = 3*q + 2730. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 275 = 50. Suppose -d - f = -6*d - 3*j, 3*j = -d + 1. Is 20*4\/(d\/13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n + 36. Let m(z) = -z - 4. Let w(y) = 6*f(y) + 52*m(y). Let v(u) = -3*u + 7. Determine -6*v(c) + 5*w(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*w = -60*w - 84. Suppose -w*x + 53755 = -x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165 + 22765 = -709*f - 5848 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 25*m**5 + 38789090*m**4 + 15045888483285*m**3 - 36110324754020*m**2 + 12036785261780*m = 0.\nAnswer: -775783, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -563.9398 and -80029.\nAnswer: -80592.9398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 + 0 = 0. Let i be v - ((-9)\/(-3))\/(-1). Suppose x - 2*f + i = 12, 0 = -5*x - 3*f + 48. Solve 3*u = -3*t - x, u + 3 = 8*t - 4*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-20) + 62361\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-2\/3))*b*b)**(5\/11)\/(b\/(b*b**1))**(-2\/55) assuming b is positive.\nAnswer: b**(94\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*p - 10*p - 75 = 0, -3*t = -4*p - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6588428 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99.1 - 13.1. Let k = -86.1 + z. Which is the closest to -4\/7? (a) -0.4 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-84)\/12 + 387\/63 - (-19004)\/7.\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, z: 1, y: 4, d: 2, h: 2, c: 7}. What is prob of sequence yczc?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26375 + 71803. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 = -13*j + 8*j, 2*j - 6 = -5*b. Solve -6*d = 2*r - 2*d - 8, 0 = 4*r + j*d - 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-2)\/(-21)*1. Let v = 3 - 2. Let i = -1.5 + v. Which is the closest to w? (a) -1 (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 + 153. Suppose -3*b - 9*l = -7*l - 8, -b - 3*l = 2. Factor 0*p + 3\/7*p**g + 0 + 2\/7*p**3 - 1\/7*p**b.\nAnswer: -p**2*(p - 3)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2. Let m(z) = -176*z**2 + 377*z**2 - 190*z**2. Give n(m(k)).\nAnswer: 484*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 16148*h**3 + 16142*h**3 - 3*h**2 - 8 + 2*h - 2*h**4 to the form b*h + n*h**2 + k*h**4 + m*h**3 + q and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 2*z - 63 = -z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 9*a**2 + 9*a - 10. Calculate m(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 44. Let o = c - 2.124. What is o rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -7*f + 9, -13*o = -11*o - 3*f + 33. Which is the third smallest value? (a) 5.4 (b) o (c) -1 (d) -0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15, 33, 57, 87, 123?\n\"Answer: 3*w**2 + 9*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-8 + 6)) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466271 (base 9) to base 3.\nAnswer: 112020022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**9\/z)\/z)*(z**(-6)\/z)\/z)**(2\/7) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 26*y + 138. What is the remainder when t(-20) is divided by -2*50\/(-7) + (-4)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - -51. Let y = g + -60.9963. Round y to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004381611 rounded to 7 dps?\nAnswer: 0.0004382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6487 plus 87474?\nAnswer: 87475.6487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4, -1, 3, -0.2.\nAnswer: -4, -1, -1\/3, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1 - 0)*-1*-6 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1348, -5, 2\/5 in ascending order.\nAnswer: -5, 2\/5, 1348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 104.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*n = 515, -4*n + 54 = -3*r + 349. Suppose 4*j = 4*d + 3*j - 146, -3*j + 6 = 0. Let i = d + -7. What is the highest common divisor of i and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2689 by -15835.\nAnswer: 2689\/15835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 > -2924\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -23*c + 21*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(95) + sqrt(95) + sqrt(95) - sqrt(95) - sqrt(95))*4)\/(1*2*sqrt(5)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 411\/10*h**5 - 3\/2*h**2 + 13\/6*h**3 + 4*h + 2\/3*h**4 + 0. Let k be y(9). Round k to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -6 + -10 - (0 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 62. Solve -g*v = -r - 9, 0*r = v - r - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23251030 - 150?\nAnswer: 23250440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -4 + 1\/2*z**2 + 2*z. Find the first derivative of o(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(-26*l**4 + 72*l**4 + 36*l**4) + l**4 - 4 + 4.\nAnswer: -81*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from yieyitegeiyyeyggegg?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, y: 3, n: 4}. Give prob of sequence ny.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsp when three letters picked without replacement from vstpvpppvhvppsvvv?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160168?\nAnswer: 2, 145021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010803372 to 7 decimal places.\nAnswer: 0.0010803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/5*425\/(-51). Which is greater: q or 58\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t - 2*w + 8, 0 = -5*t - 4*w + 33. Suppose 0 = 2*u + 5*g + 13, -t*u - 2*g + 5 + 15 = 0. Is 19 a factor of 38 - 0\/(u\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -75. Suppose 6*o + c = 72. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 33*z = -73573. Let n = z - -7684\/3. Suppose -20 = g - 0. What is the common denominator of n and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 830*m + 1 + 936*m + 1686*m**2 - 1765*m + (3*m + m - 3*m)*(2*m - 2*m + 2*m).\nAnswer: 1688*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 6:00 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7416288)\/(-108)*156\/272 - 2\/(-17)?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5447, 188 in decreasing order.\nAnswer: 5447, 188, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 6 - f**3 + 4*f - 3*f + 11 - 18 as j*f + w*f**3 + o*f**2 + d and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4912963 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - w**2 + 0*w**2)*(-3*w - 4*w + w)*(4 - 4 - 3*w)*(-4*w - 4*w + 4*w).\nAnswer: 216*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2515*p**3 + 476*p**3 + 365*p**3)*(0 + 0 + p**2).\nAnswer: 3356*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 276, -1, 24\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 6*p - 40. Let i be (984\/410)\/(p\/(-30)). Solve s - i = -15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 28, 37?\n\"Answer: 9*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -822\/293 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/1080 - l**5\/360 - l**4\/12 + l**3\/3 - 11*l**2 - l. Let u(p) be the first derivative of d(p). Solve u(g) = 0 for g.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 194*(95\/100 + (-6)\/5) and -65\/136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2817172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/133, 4, -4\/7?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(2 + -2 + (-21 - -16)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16395 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 8:53 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - p)*(-4*p**4 - 5 + 5) - 3*p**5 + 3*p**5 - 3*p**5.\nAnswer: -11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -1\/2 - 5\/8*h - 1\/8*h**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/1)\/((-141225)\/37660)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0*j**4 + 123*j + 0*j**2 + 1\/15*j**6 + 0 - 43\/6*j**3 - 17\/21*j**7 + 0*j**5. What is the second derivative of x(v) wrt v?\nAnswer: -680*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, z: 4, n: 6}. Give prob of picking 1 z and 1 d.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -43b0 (base 15) in base 13?\nAnswer: -66b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2153 - 3127 = -31*k + 295*k for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 37 = -43 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157432421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.008084, -4\/5, 1\/5, -0.4, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-45*16\/(-144))\/((-20)\/36)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 15*i - 16. Let q be x(17). Suppose j + q = 16. What is the closest to 0 in 0.4, j, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/((-3)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2543302777 and 69777.\nAnswer: -2543233000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 0*n. Let u(g) = -2 + 4*g - 11*g + 3*g + 3*g. Let z be u(-7). Solve 2*p = -2*f - 8, -26 = -z*p + 4*f - n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48840 and -3?\nAnswer: 146520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12024142604 + 1?\nAnswer: 12024142605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24189 is divided by 209.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d - 1. Let s(a) = -2*a. Determine -8*s(o) - 3*u(o).\nAnswer: -5*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d + 35. Let t = d - 9. Suppose t = g - 3*g + 40. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 2*h + 4*h)*(1 + 0 + 1) + (2*h + 2*h + 6*h)*(8 - 4 - 11).\nAnswer: -76*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 153 = 6*z, -2*z + u = 6*u - 6*u + 47 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-660)\/(-130) - (-2)\/(-26). Is (2 + (-20)\/8)\/(t\/(-39890)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, y: 3, o: 5}. What is prob of picking 2 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 - p + 52. Calculate the remainder when 103 is divided by b(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9140128 millimeters?\nAnswer: 0.09140128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) 0.2 (c) 7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65780 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1423, -59710 in descending order.\nAnswer: 1423, -3, -59710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2867413 divided by -16.\nAnswer: -2867413\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from {b: 2, z: 1, a: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 10. Which is the second biggest value? (a) 4 (b) 2 (c) 0 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11311.00007839 + 11311. What is i rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 1 + 1)*(-3*l + 21*l + 8*l) in the form c*l + v*l**2 + p and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3564*h**2 - 1119*h**2 - 1558*h**2.\nAnswer: -6241*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = y, -2*y = -3*h - 7*y - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 7. Suppose f*j - 6*j = -1. Is (-5056)\/(-24) - j\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 241?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/210*(-10)\/3. Which is the second smallest value? (a) 0.2 (b) -1\/27 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 4 - 4)*(2 - 6 + 2 + 1 + 3 + 0 + (-2 + 1 - 1)*(-1 + 3 - 3))*(2*s**2 - 3 + 3).\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9184219459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -7*d + 15*d. Suppose d*f - 10*f = 640. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 13 - 2 = -p, -p - 3*w - 7 = 0. Let i be (-10)\/75*5*p. Suppose i*f**4 - 2\/3*f**2 - 2\/3*f**3 + 2\/3*f + 0 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r - 168 = 15*r. What is the remainder when 22 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-90)*-30*(-3 + 6)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*i - 188, 2*i - 3*g + 115 = -6. Let t(p) = -127*p - 122. Let o be t(-2). Let z = o + i. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-20)*(-24)\/9.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - 139. What is the units digit of (22\/(-4))\/((-4)\/i*-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*f - 3*f - 50, 5*r - 73 = f. Let l(h) = h**2 - 32*h + 254. Let k be l(r). Factor -8\/13*s - 2\/13*s**3 + 0 - 10\/13*s**k.\nAnswer: -2*s*(s + 1)*(s + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3*x - 6*x)*((1 - 2 + 3)*(-x + 2*x + 0*x) - 3*x + 0*x - 11*x + 5*x - 4*x + 2*x).\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/27 - 2\/(-72). Let b(w) be the first derivative of -w**3\/3 + 3*w**2 - 4*w + 2. Let i be b(4). What is the closest to r in -1, -2\/5, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*b - 323*b - 520 = 0. Let l = b - -260. Solve 13*i - 10*i + 6 = l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - r + 0*r - 1 + r + 1 + (4 - 2 - 5)*(-2*r + 0*r + 4*r) + r - 5*r - 3*r to the form z + b*r and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 9 = -3*r, 23 = -5*r + 2*r + 4*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6609.949 millennia in years?\nAnswer: 6609949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2148845*h**2 - h**3 - 2148845*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1352 + 0.0652. Let y = r - -0.07. Let z = 88 + -171\/2. What is the second biggest value in z, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p - p + 5*p**3 + 67*p**3 - 15*p**3 - 34*p**3 + (3*p - 3*p - p**3)*(2 - 4 + 4) - 3*p**2 + 3*p**2 + p**3 as v*p**2 + m + j*p + i*p**3 and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1145 + 1230. Suppose 2*i + 51 = 4*y - 73, 5*i - 4*y = -328. Let n = i + w. Solve 3*x - n + 8 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 6*a**2 - a - 8. Let n be b(-7). Let j = 1 + 0. What is the smallest common multiple of (-1)\/(-2*3\/n) and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*-1*sqrt(19) + sqrt(19) + (1 + sqrt(19) + -3 - sqrt(19)) + 4)**2.\nAnswer: -76*sqrt(19) + 6863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 v, 1 r, and 1 h when four letters picked without replacement from hisrvse?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o - 138 = -186 - 222 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43226 + 43231. Let j = 14.3 + -14. What is the biggest value in 3\/5, j, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = -78. Let k = q - -2. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167420111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1837\/39 - -5596\/117. Let u = p - 8\/13. Put u, -1, -2\/11 in descending order.\nAnswer: u, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86660 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g - 7. Let l(p) = 5*p + 7. Let z(q) = 4*l(q) + 3*m(q). Let v = -701 + 696. Give z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - 1 - 2) + 0 - (-261 + 231 - -41)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.01 - -0.11. Let j = 282 - 284.9. Let k = j - o. Which is the third smallest value? (a) -4 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 18*o - 18. Let j = -377 + 378. Let x be t(j). Is 2\/17 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3302233 + 1?\nAnswer: 3302300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 1522921914.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*b + 5*b. Let o(x) = 4*x + 4*x - 5*x + b - 2*x. Suppose 3*g - 2*g = 2*p - 12, -5*p + 21 = -g. Determine o(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5512?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*2*sqrt(27) - (sqrt(3) + 2 + -1 + (sqrt(108)\/sqrt(9))**2).\nAnswer: -25*sqrt(3) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 5*u - 5, -2*u - 2 = -2*f. Suppose f = -10*m + 5*m + 30. What is the highest common divisor of m and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -537330, -537331, -537342, -537369, -537418?\n\"Answer: -b**3 + b**2 + 3*b - 537333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 204652920 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6193*j + 3088*j + 3314*j.\nAnswer: 209*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*r - 1, -15 = -4*j + 4*r + 5. Suppose 18 + 14 = j*c. Solve i + 3*i - c = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25077 - 116363888?\nAnswer: -116388965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Suppose 0 = s*x + f - 16, 10 = x + 3*f - 6. Suppose 66 = -z + x*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2*-18*(-24)\/432. Sort -2, -75, 5, c in increasing order.\nAnswer: -75, -2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Let f(q) = -q + 3*q**3 - 2*q**g - q**2 - 2*q**3. Let c(m) = -2*m**3 - 3*m**2 - 2*m. Suppose -x = 3 - 2. What is x*c(j) + f(j)?\nAnswer: j**3 + 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3. Let w be -1 + d + -4 + 2. Sort w, 3, 0 in decreasing order.\nAnswer: 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59751, -59758, -59769, -59784?\n\"Answer: -2*x**2 - x - 59748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24754 - -8619. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9261681 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 11) to base 4\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 9*x**3 - 40*x**2 - 39*x + 18. Let y(r) = 27*r**3 - 116*r**2 - 117*r + 54. Let w(m) = 7*o(m) - 2*y(m). Factor w(z).\nAnswer: 3*(z - 6)*(z + 1)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -45. Let q be f*(1 - -3 - (-4 + 1)). Let a = -30 + q. Is a a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52720 - 5008446\/95. Let n = 45059\/150 - 901\/3. Calculate the common denominator of i and n.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*w + 38*w - 26*w - 6371 + 644 for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 2. Let t(p) = 3284*p - 1. What is g(t(x))?\nAnswer: 10784656*x**2 - 6568*x + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 212104579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z. Let b be 2\/3 + (-2)\/3. Let i be 2 + -2 + (-2 - b). What are the prime factors of u(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16137 and 10329?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4851 and 12348.\nAnswer: 135828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 + 7024*h - 439660 = 0. Calculate h.\nAnswer: 65, 1691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*n = -2*n + 10, 0 = -4*o + n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 326*m + 183. Is f(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 43*p**3 + p**2 - 3*p + 2. Let r be v(2). Suppose 3*d = 5*d - r. Suppose -1005 = -5*x - 2*m, -x - 4*m = -d - 11. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*g + 39. Suppose -4*f = 5*n + 13, -g = -n - 12. Suppose f*t + 0*h + 4 = h, -5*t = -2*h + 5. Sort 3, t, 9 in decreasing order.\nAnswer: 9, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c = j + 21, -3*c + 2*j = -17. Let g be -9 + (c - 4) + 6. Which is greater: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133552469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**3 - 5*m**2 + 4*m - 9. Let f(b) = b**3 - 1 + 4 - 4. Let c = -75 - -74. Let r(z) = c*j(z) + 6*f(z). Give r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 times -106?\nAnswer: -7738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 1303, -7\/4 in ascending order.\nAnswer: -7\/4, -2\/11, 1303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 4537?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 509030 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = o - 10*m + 42 - 54, -m = 17*o - 32 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + c - 4*c - 701*c**2. Let v be b(-2). Round v to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(6\/5)\/(y\/(y\/(y\/(y*y*y*y*y**0*y*y)))*y)*(y**(-1\/2))**(6\/11) assuming y is positive.\nAnswer: y**(271\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4859163 bigger than 0.054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(153) - sqrt(153)*1)*2)\/((sqrt(18) + sqrt(36)\/sqrt(2))\/sqrt(2) + sqrt(45)\/(sqrt(10)\/sqrt(2) + sqrt(5)))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*1*6 + 2 + ((1*sqrt(204) - sqrt(204))*-5)\/sqrt(12) + 0)**2.\nAnswer: 72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 3, 1 in increasing order.\nAnswer: -13, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -23*z + 42. Let k be -17 + 20 + (z - -1). Solve 5*t + 4*w + k = t, 5*t = 3*w - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 268 - 394. Let a = 126.2 + x. Let q = 8.1 - 1.1. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3*i + 4 = 0, 14 = 121*v - 123*v + 5*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p - 16 = -264 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -745668000 rounded to the nearest 1000000?\nAnswer: -746000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (118\/1357 - 165\/46) + 2. Let x = -0.11 + -0.59. Let m = x + 3.7. Which is the nearest to 3? (a) m (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 21. Let p be a(-17). Let r(d) = -d - 1. Let h(m) = 2*m + 1. Give p*r(t) + 3*h(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.8989*-3\nAnswer: 2.6967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*k**2 - 5*k**2 - 379*k**6 + 385*k**6 wrt k?\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 + 2. Let g(r) = r**2 - r. Let k(n) = -6*g(n) + 2*y(n). Let v be k(-3). Solve 0*m = m + v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406951?\nAnswer: 406951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - 32*b**2 - 3*b + 99. List the prime factors of d(37).\nAnswer: 2, 3, 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a726 (base 13) to base 11.\nAnswer: 16468","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -6651.3186 rounded to the nearest 100?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 205 + (-173 - 38) - (-113 + (-3 - -2))\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -347\/3 or -116?\nAnswer: -347\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 166 = -172. Solve 8\/7*d + 0 + 32\/7*d**f - 50\/7*d**4 + 10\/7*d**3 = 0 for d.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5197 = 2210*s - 22877 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7997.558g in kilograms?\nAnswer: 7.997558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = m - 20, 3*m + 2*m - 2*f - 140 = 0. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 5*z - 90 = 0. Let s(c) = -c**3 + 3*c**2 + 13*c - 17. Let v be s(z). Let a = 2.02 + -0.02. Sort a, 4, v in decreasing order.\nAnswer: 4, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26462482 and 7366?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 9*d - 12. Let r be x(8). What are the prime factors of (-9)\/r*32\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**6\/10 - 3*i**5\/2 + 3*i**4 + 20*i**3 - 96*i**2 + 4*i - 20. Factor j(q).\nAnswer: 3*(q - 8)*(q - 2)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + (-8)\/(-28). Let o be -34 - -1*(-1 + 0)*0. Let v = o + 49. Solve 5*d = -s*d - v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 54*p**3 - 64*p**3 + 2*p - 67*p**3 - 4*p**2.\nAnswer: -185*p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -10*u**3\/3 - 3. Let j(z) = -14*z**2 - 9. Let l(m) = 3*m**2 + 2. Let g(o) = -4*j(o) - 18*l(o). Determine x(g(s)).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 9, g: 2}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c + 3*c - 7*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 11*q - 50. Let p be s(0). Is p > -94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284055275.\nAnswer: 5, 7, 1623173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 80 = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -13135654?\nAnswer: 6567827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1334466047+-3\nAnswer: -1334466050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.2, 1\/15, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 + (6 - 1) - 214. Let j = 251 + f. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(-184)*(2*-44)\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 10*u**2 - 12*u + 16. Let m be a(11). Let q(c) = -8 - 7 + 5*c + 10 + c. Let f(o) = -11*o + 9. Calculate m*q(l) + 3*f(l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/8, -1\/1474, 1 in ascending order.\nAnswer: -3\/8, -1\/1474, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29 + 31)*(-1)\/(-6). Factor -4\/3*q + a*q**2 + 4\/3.\nAnswer: (q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3366 at most -57210\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*n + 42*n + 11*n - 3*b - 39, 4*n + 2*b - 142 = 0 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -8018, 17 in descending order.\nAnswer: 17, 2, 0, -8018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**4 - 6*n**3 - 9*n**2 + 18*n - 6. Let c(y) = 13*y**4 - 12*y**3 - 15*y**2 + 33*y - 11. Let r(t) = -6*c(t) + 11*f(t). Find j such that r(j) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2123, -2245, -2367?\nAnswer: -2489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31765 times -341.6?\nAnswer: 10850924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -249 + 253. Suppose -4*a - j + 7 = -i*j, 0 = 3*a - 4*j. Solve -2*v - a - 2 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 16 = -f, 3507*p - 3506*p + 3*f = 20 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 1334*a**2 + 728*a**2 + 592*a**2.\nAnswer: -14*a**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112699 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 - 5*y - 8. Let j(c) = c**2 - c - 1. Let x(g) = -g**2 + 13*g - 17. Let q be x(12). Let h = -746 - -747. Give h*w(a) + q*j(a).\nAnswer: 2*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -6333.\nAnswer: -6329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from esssssesessssesses.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41755 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u - 11. Let l(q) = -q**3 + 21*q**2 + 30. Calculate the remainder when l(21) is divided by k(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6819878 and 195.\nAnswer: 102298170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/3 + 109760*l\/3 + 36586 = 0. Calculate l.\nAnswer: -54879, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-17))\/j**(-2\/3) assuming j is positive.\nAnswer: j**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 0*h + 3*h + (-7*h + 3 - 3 + (5*h - 5*h - h)*(-1 - 3 + 5) + 3*h - 2*h + h)*(-1 + 2 + 1).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650356485.\nAnswer: 5, 330071297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 24*j + 4. Let u = -294 - -282. Let h be o(u). Solve -d - s - 6 = -4*d, h = 2*d - 4*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 686 + -686.4. What is the third smallest value in -15, 2, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74081659151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0 + 4)) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 2107.37.\nAnswer: -421.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 7*s**2 + 32*s + 36. Let l be k(-11). What is the greatest common divisor of 224 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*h - 117*h + 325*h - 2*h**3 - h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6\/(c**24*c))\/(((c**(-23)*c)\/c)\/(c\/c**(2\/11))))**(2\/23) assuming c is positive.\nAnswer: c**(106\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let m(k) = -4*k**3 + 3*k**2 - 3*k - 3. Let w(u) = -u**2 + u + 1. Suppose -10 = -2*g, 0 = -q + 164*g - 161*g - 12. Calculate q*w(p) + z*m(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 2*k**3 - 2*k**2)*(2*k + 2*k - k) - 4*k**4 - 3*k**4 - 2*k**4.\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + q - 1. Let u(h) = -13*h**2 - 4*h + 6. Let i(t) = 7*t + 34. Let y be i(-5). Let a(d) = y*u(d) - 5*n(d). Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -7*h**6\/60 + h**5\/20 + 91*h**4\/24 + 29*h**3\/6 - 6*h**2 - h - 126. Find l, given that x(l) = 0.\nAnswer: -3, -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 182*q. Let k(w) be the second derivative of 5*w**4\/12 + w**2\/2 + 1191*w - 3. What is j(k(c))?\nAnswer: 910*c**2 + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 336.9 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 7. Let n be (6\/(-9))\/(14\/x). Which is the closest to 1\/2? (a) 2\/9 (b) -1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o + 4*r - 26 = 0, -3*o = 2*r - 19. Is (-4)\/(4\/(-629)) - (1 - o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l**2 + 16*l. Let a(m) = 29*m. Calculate a(k(d)).\nAnswer: -319*d**2 + 464*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1800)*1*-3 + sqrt(1800)*-1*-2)\/(sqrt(726)*3*2*-6))**2.\nAnswer: 25\/13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1472270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 36 = s. Suppose -s = -o - 2. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -11*l**4\/2 + 1017*l**2. Let o(a) = 7*a**2. Calculate h(o(f)).\nAnswer: -924*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*y**4\/3 - 124*y**3\/3 - 320*y**2 + 228*y + 504 = 0. Calculate y.\nAnswer: -6, -1, 3\/2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 40*t + 100.\nAnswer: 4*(t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let z(w) = 5*w**2 + w + 1. What is the lowest common multiple of f and z(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*x - 183*x + 95*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 571?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.065 - -0.065. Which is smaller: -0.6 or v?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 1, 3 in increasing order.\nAnswer: -59, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjyjfjzjjyjy. What is prob of picking 1 z and 2 y?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**6\/30 + q**5\/15 - q**4\/12 - q**3 + 13*q**2. Let i(y) = -y**3 - 2*y**2 - 3. Let a be i(-2). Is o(a) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -37 (b) 50 (c) 1 (d) 0.42 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1) + (65 - 9). Suppose -6*f - 4*a = -f + 245, f - 4*a = -73. Let r = p + f. Solve -5*c = r*m - 28, 0 = 4*c - 2*m + 7*m - 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -1069*u**5\/20 + 5*u**4\/24 - 47*u**3\/2 + 2549*u**2. What is the second derivative of d(m) wrt m?\nAnswer: -6414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 40 = 2*h. What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**4\/9 - 2*j**3 + 17*j**2\/9 - 4\/9 = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6344*t + 452900 = 2714*t for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 25072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 + 139. Which is the second smallest value? (a) -2 (b) m (c) -0.3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1139*(4 + -3) - 1. Let k = v + 2080. What is k rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2812 - 2809 = 0. What is the fifth biggest value in 0.3, 79, 0.01, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -3*h**5\/100 + h**4\/60 + h**3\/10 - h**2\/10 + 7*h. What is s in n(s) = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3053 is divided by 575?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 6*g - 171247 + 171220. Calculate r(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*l + 3*r + 34, 3*r = 4*l + 144 - 196 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 328, 674, 1020, 1366, 1712?\n\"Answer: 346*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 36 = 6. Let r(p) = p**3 - 4*p**2 - 9*p + 5. Is r(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s - 41. Let n be c(-11). Suppose n*x - 6 = 12. Let b be ((-48)\/x)\/(1 + -2). Solve 3*k + 3*u - 15 = 0, 5*u - 11 = -2*k + b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18198.65 years?\nAnswer: 218383.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.126208?\nAnswer: -0.0378624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5537, 9898, 14261, 18632, 23017, 27422, 31853?\nAnswer: 36316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486576 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -3, -14, -33, -60, -95, -138?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128630?\nAnswer: 2, 5, 19, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15544579 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 37*h**2 + 680*h + 3055. What is i(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 24 = -12*q - 4*b, -10 = -5*b. Let l(v) = 2*v**2 - 8*v. What is l(q)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*a**2 - 23*a**2 - 159*a**2 to the form i + k*a**2 + y*a and give k.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 125*h + 332*h**2 - 257*h**2 - 55*h**3 + 10*h**3 + 5*h**4 = 0. What is h?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-114*(-11)\/((-198)\/9))\/3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 308*o**2 + 3 - 308*o**2 - 1 + 32*o**3 in the form u*o**2 + j*o**3 + q + r*o and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 4. Suppose 1827*z = 1844*z - 170. Calculate the smallest common multiple of t and z.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - s**2 + 2*s + 3. Calculate b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**4 + 326*a**2 + 2418*a + 85911762.\nAnswer: -20*a**3 + 652*a + 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 + 5*p**2 - 15*p**2)*(2 - 2 + 2*p**2)*(9 - 28 + 10).\nAnswer: 54*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.9 + 7.9. Put -3\/4, 37, m in increasing order.\nAnswer: m, -3\/4, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j - 54. Suppose a - 5*p = j, -8 = 4*a - 4*p - 32. Suppose z + 0*g = a*g + 8, 16 = z + g. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/5 - 48284*a\/5 + 9657 = 0.\nAnswer: -48285, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49816547 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 3*a + 46, -92*q + 1126 - 1352 = 3*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.88 + -1526329.2979?\nAnswer: -1526519.1779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3 + 4 = s, 0 = 5*d - s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 22 + 5 = -4*p, 3*a = 5*p - 28. Sort -3, p, -170, 0 in ascending order.\nAnswer: -170, -3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 886\/(-10) + 4\/(-10). Let f = -54 - n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14902.1511 and 1?\nAnswer: -14902.1511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 10 - 8)\/((-3696)\/3689 + 1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3197.617 to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12978, -22010, -31042, -40074, -49106, -58138?\n\"Answer: -9032*v - 3946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/7 (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 33. Solve g = -1 - w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 18*u - 3 - 20*u + 10*u - 4*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 90, 102, 136, 204, 318?\n\"Answer: 2*j**3 - j**2 + j + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21114 = -32*h + 9*h. Let g = 928 - h. Calculate the lowest common multiple of 1088 and g.\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750 - 0.10039.\nAnswer: 749.89961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-14))*c\/((c*((c*c\/(c\/(c\/(c**(-5\/4)\/c))))\/c*c)\/c)\/c)*c)**(-44) assuming c is positive.\nAnswer: c**671","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 50 - (53 + -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**6 + 43*r**5 - 8*r**2 - 4*r wrt r?\nAnswer: -360*r**3 + 2580*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 - (-15)\/(-4). Let f = j + 12. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + t = 6*t + 45, t = 5*i + 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 191?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*p - d + 20, 0 = -4*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 - -8957360?\nAnswer: 8957359.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -470.4164.\nAnswer: 469.4164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2 + 9*j + 9. Let t(p) = -p**2 + 2*p + 2. Let b(h) = 9*t(h) - 2*z(h). Let g(l) be the second derivative of 5*l**4\/12 - l. Give g(b(s)).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**3 - 12*d**2 - 5*d + 8. Let w(j) = 2*j**3 - 4*j**2 - 2*j + 3. Calculate -3*c(g) + 8*w(g).\nAnswer: -2*g**3 + 4*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 6. Let m be x(5). Suppose 4*c - 205 = -m*w + 195, 0 = 5*w - 2*c - 493. Suppose -3*b + w = -0*b. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 295186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3068*g + 67475. Calculate c(22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/52130 and 43\/6416?\nAnswer: 417040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 7*m**3 + 3963*m**2 - 35602*m + 27600 = 0.\nAnswer: -575, 6\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 20. Let o be (-11 - 2)*z\/3. Let p = -78 - o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1050)\/(-180) + 5\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 29*p + 9. Let z be s(16). What is the nearest to z in 0.5, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from zkzziiz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4153 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0 - (-126)\/(-48)) + (-6)\/48\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g + 6. Let v(u) = u - 1. Let j(k) = s(k) + 5*v(k). Let b = -20 + 12. Let n be j(b). Solve n = 3*y - 0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113922996 a multiple of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40241 (base 5) to base 3.\nAnswer: 10112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/3, 3\/401, 71?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*p**4 + 30*p**3 - 29*p**2 + 6*p.\nAnswer: -p*(p - 3)*(p - 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**2*y**4 - 12132*v**2*y**3 + 166024*v**2*y**2 wrt y?\nAnswer: -24*v**2*y - 72792*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:35 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -2 + (-2 - (-3 + 45) - 25)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1311, -2491, -3673, -4857, -6043, -7231, -8421?\n\"Answer: -b**2 - 1177*b - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343651497 to the nearest integer?\nAnswer: 18538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 a when four letters picked without replacement from bybabyybyb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.812 - 4.512. Sort 1, a, -0.2, 0.4, 0.05 in increasing order.\nAnswer: -0.2, 0.05, a, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/21, -3\/7, 0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/9))\/(r**(-2\/9)*r))\/(r\/r**0*r)**(-19) assuming r is positive.\nAnswer: r**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6972 + -237.\nAnswer: -7209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 36*y**2 + 5 - 3.\nAnswer: -36*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6071*v**4 + 6*v**2 + 2063*v + 3. Let a(x) = 4*x**4 + 2*x**2 - x + 1. Let o(q) = -3*a(q) + j(q). What is the second derivative of o(f) wrt f?\nAnswer: 72708*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9173, -11227, -13281, -15335, -17389, -19443?\n\"Answer: -2054*x - 7119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ahfh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 51*x**2 + 3*x + 2. Let u be d(-2). Let b be u\/9 - 28\/126. Let j be 1\/60 + b\/88. Is 1 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-304)*(-91)\/21*(-36)\/26?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 - (1 + 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 - 19082734*x**2\/5 + 7633093*x - 19082732\/5.\nAnswer: (x - 19082732)*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001101010 - -1000100?\nAnswer: 101010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 25386.6 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10946, 4 in increasing order.\nAnswer: -2, 4, 10946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = 21*m - 25*m, 2*m - 10 = 3*g. Which is bigger: -16.4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -72*g**2 - 23757*g + 974. Calculate f(-330).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from {g: 9, l: 3, o: 1, h: 1}.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 41413684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 152076 divided by -2668\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 457\/7 - 65. Let a be 18\/(-819)*-371 + -8. Sort w, -4, a, 2 in decreasing order.\nAnswer: 2, w, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096840 smaller than 1096841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000637718617 to seven dps.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {f: 2, s: 1, z: 1, j: 1, u: 2, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + -81 + 86 - (-1 - -11)) + 13?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5 + 3*h**4 - 51*h**3 - 51*h**2 + 48*h + 48 = 0 for h.\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, 223\/7, -3, -5.65?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1880.042 years to decades.\nAnswer: 188.0042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -5, -2\/307405?\nAnswer: -2\/307405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 6*b - 2. Let i be a(-5). Suppose -10 = -4*q + i*q. Suppose 3*r = 4*r - q. Solve -y = -3*y + r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 18. Suppose -9*d = -553 - 329. What is the remainder when d is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -163087\nAnswer: -8\/163087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -82. Let x = 113 + a. Let m = x + -51.1. What is m rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j - 2. Let i be p(1). Let t be ((-1)\/(-2))\/(1\/i). Solve -4*v = b + 4, -t*b + 4*v = v - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l - 77. Let x be v(7). Let p(g) be the first derivative of 0*g - 3\/20*g**5 - 2 - 1\/6*g**3 - 5\/16*g**4 + x*g**2. Solve p(m) = 0 for m.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15336 = 4*c - t - 31439, 0 = 4*c + 5*t - 46805. List the prime factors of c.\nAnswer: 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 140\/(-55) + 2 - (-830)\/110. Let h(i) = i**2 - 33*i + 187. Determine h(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s - c + 24 = -0*c - 58, 28*s - 25*s - 2*c + 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*(-1)\/1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9488b (base 13) to base 11\nAnswer: -172914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35.81 and 1.1675.\nAnswer: -34.6425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15207860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002426 less than -4.5?\nAnswer: -4.502426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(181*t**5 - 78*t**4 + 78*t**4 + 30*t**5).\nAnswer: 422*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*r + 21. Suppose 4*v = -v + r. Let x = 7\/3 + -3. Which is the nearest to x? (a) 1\/10 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 68*z = -12*z + 756 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -12*n + 31. Determine w(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-10)*(5688\/(-180) - -34).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2144 times -28044.6\nAnswer: 60127622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5532*c - 12789*c - 2045*c - 4050*c - 3702*c to the form w*c + d and give w.\nAnswer: -28118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.05811, -2, 6?\nAnswer: -0.05811","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 29*o + 24. Let w be ((-82)\/(-123))\/((-2)\/24). Is g(w) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107907 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121013 (base 4) to base 8.\nAnswer: -3107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/8 (b) -0.6 (c) -1\/5 (d) -1 (e) -603\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 28785*a**3 + 2*a**2 + 8 + 34 - 1 + 28785*a**3 - 16*a**4 in the form u*a**3 + h*a + l + p*a**2 + w*a**4 and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 89213.81 + -675\nAnswer: 88538.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**3\/6 - i**2\/2 - 3*i. Let d be l(4). Solve d = 2*a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 222.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2835 and 12960?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-20\/7)*((p\/(p**(-10\/3)\/p))\/p)\/p*p assuming p is positive.\nAnswer: p**(52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 60 - 1110. Suppose -15 = -p + 4*d + 41, -5*p - 3*d = -z. Let r be (20\/(-6))\/((-2)\/p). What is the highest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -0.5 (c) -2082 (d) 3\/2 (e) -2\/11 (f) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42249311750 rounded to the nearest one million?\nAnswer: 42249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51642853, -103285703, -154928547, -206571385, -258214217, -309857043, -361499863?\nAnswer: -413142677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -38 + -20 + 29 + 62 + 31\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 + 167. Suppose 2*u = 2*p + 6, -5*u + 7*p = 6*p - 11. Suppose 3*o + u*o = -n. Sort -3, o, -4 in decreasing order.\nAnswer: -3, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320022 (base 5) to base 10.\nAnswer: -10637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 27 + 15 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/16093?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -a8 (base 12) to base 9\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*-4 - -42. Suppose n*f - 43*f = -30. Calculate the highest common factor of 90 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*z**5 + 4*z**4 + z + 12.\nAnswer: -180*z**3 + 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*f*r**2 - 2*f*r*x + 281135*f*r - 16*r**2*x + 4*r*x - 426*r - 11 wrt f?\nAnswer: 6*r**2 - 2*r*x + 281135*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, 0.1, 5, 0 in increasing order.\nAnswer: 0, 0.1, 0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 + -2)*(-16)\/24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l + 127641 - 151509. What is the least common multiple of 432 and l?\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5774, -5749, -5724, -5699, -5674?\n\"Answer: 25*s - 5799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/18)\/((-21)\/28)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -22*z**2 - 5465*z + 3242. Let r be n(-249). Solve 27\/11*s - 10\/11 + 6\/11*s**4 - 20\/11*s**2 - 2\/11*s**3 - 1\/11*s**r = 0 for s.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 171124341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 184 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 84599657\nAnswer: -1\/84599657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 314539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 24*s - 93 - 6*s + 110. Let r be n(-17). Solve -3*z - z = r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003390714 rounded to 7 decimal places?\nAnswer: 0.0003391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47907911*x**3 - x - 10090459 wrt x.\nAnswer: 287447466*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 10*a**2 - 38*a - 15. Suppose 10*x = -2*s + 86, 2*x + 58 = -2*s + 96. Determine d(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0.2. Let h = 8.1 + -8. Which is the biggest value? (a) h (b) u (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 3:54 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1263, 1261, 1257, 1251, 1243?\n\"Answer: -u**2 + u + 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*x + 189*x + 182*x + 202*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 5*g + 8. Let y(b) = -b**2 + 6*b - 6. What is the remainder when 5 is divided by y(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27253*u**3 - 291*u**2 + 27250*u**3 + 71*u**2.\nAnswer: -3*u**3 - 220*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {e: 3, k: 1, b: 5, n: 9}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3222 - 1001?\nAnswer: -4223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-4 - 0) - 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -43\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z**2 - 462*z + 51. Is 34 a factor of v(46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 767.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 132.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-1 - 0) + -2. Let s = 13 + m. Suppose 0 = -z - s + 22. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + n**2 + 5*n - 2. Suppose -4*j - 1 = -9. Let k be w(j). Let s(c) = -c**2 - 25*c - 46. Let l be s(-23). Put 3, k, 1, l in decreasing order.\nAnswer: 3, 1, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2513138, -5026279, -7539420, -10052561, -12565702, -15078843?\nAnswer: -17591984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14669836*b - 11864. Let v(l) = -6182*l + 5. Let r(m) = 5*o(m) + 11864*v(m). Let q(j) = -j. Calculate r(q(i)).\nAnswer: -5932*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/8810754 and -35\/17621508.\nAnswer: 17621508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**4\/24 + 7*y**3\/6 + 5*y**2. Let k be j(10). Let v(c) = -c**3 - c**2 + c - 3. Calculate v(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 5:41 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/60 - 13*j**4\/24 + j**3\/3 + 5*j**2. Is o(15) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.3, 1, -3\/5, -19, -109, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155951\/720 - 219\/80. Let g = t + -1695\/8. Let i = g + -7\/8. What is the common denominator of i and 4\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -128588 - -43?\nAnswer: -128545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -0.038, 2\/17, 2 in increasing order.\nAnswer: -6\/7, -0.038, 2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5860598, -5860561, -5860524, -5860487, -5860450, -5860413?\nAnswer: -5860376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 599, 585, 557, 509, 435, 329?\n\"Answer: -j**3 - j**2 - 4*j + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/(i**(7\/4)\/i))**(2\/39) assuming i is positive.\nAnswer: i**(-1\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/(-1) - 5) + -5. Calculate the common denominator of 1112\/(-440) + 1 + 1 + f and -9\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0 + 4 + -3. Suppose -j*d = -0*d - 6. Solve 2*b + 6 = d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**4 + 7*r**4 + 8*r**4)*(-2 - r + 2) + (3*r**2 + 3*r**2 - 4*r**2)*(16*r**3 + r**3 - 4*r**3).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/109873 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - 424\/(-536) - (-4 + 11). Is 2 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2268)\/231)\/9*-1.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 18*v = 275. Let u(o) = -198*o - 55. Let m(j) = -11*j - 3. What is v*m(r) + 3*u(r)?\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 + 6 = 0. Let l be (-1)\/(-14) + (-6)\/p. Solve -2\/7*z**3 + 0 + l*z**2 - 2\/7*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 13 = -5. Solve -5*q + 2 = -4*r - 10, -3*r - y = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-9) + 4\/(-18). Let o = -43 + 61. What is the smallest common multiple of o and (v*-12)\/(6\/(-4))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000089913 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 67\/5. Let b = q - 3\/20. Factor 0*u**2 + 1\/4*u**4 + 0 + b*u**3 + 0*u.\nAnswer: u**3*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 6 = 5*z - 16, -4*a - 6 = 2*z. Let q be 3*3\/z + -1. Let r be (-26)\/(-12) + (-75)\/90. What is the nearest to r in 1\/3, -0.3, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 15*s - 36. Calculate c(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 339592997*q**4 + 159618785.\nAnswer: 1358371988*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -219*b + 32*b**2 + 32\/3*b**3 - 16\/5*b**5 - 2\/21*b**7 - 14\/15*b**6 + 0 - 8\/3*b**4. Suppose c(a) = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, h: 13}. Give prob of picking 3 h.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11325 - -0.002246.\nAnswer: -11324.997754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 3:45 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:37 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 27*u - 71. Let s be x(7). Let g = s - 47. Suppose -d - 50 = -2*w + 2*d, 5*w - 125 = -2*d. Calculate the remainder when g is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 181 + 204 - 11 - 39*x + 12 - 35*x wrt x.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from {u: 3, s: 3, d: 2}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3 - 600*o**2 + 18285*o - 17690 = 0 for o.\nAnswer: 1, 58, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-3))\/((-20)\/720). Suppose -21*n = -g*n + 6. Suppose 0 = 3*i - n*i - 21. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 1?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -110220000 rounded to the nearest 1000000?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625 - 669 = -269*b + 1127. Calculate the remainder when 1175 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/1364655 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**3 - 8 + 3*n**2 + 3*n**2 - 9*n**3 + 13*n**3. Let h(x) = -6*x**2 + x**3 + 1 + 3*x**2 - 2*x**3 + 2*x**2. Determine 8*h(j) + y(j).\nAnswer: 2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/((4 - 2) + -3). Let o = k - -13. Suppose -o*p - 125000 = -p. Round p to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 + y + 1. Let p(i) = -388*i**3 - 224*i**2 - 7*i - 9. Let l(w) = -7*h(w) - p(w). What is the third derivative of l(j) wrt j?\nAnswer: 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2596.8 - -2597. Which is the nearest to -0.1? (a) g (b) 1\/10 (c) 39 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1770*r**2 - 18*r + 16. Let o(a) = -5309*a**2 + 50*a - 47. Let b(k) = -3*o(k) - 8*z(k). Is b(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -517 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43266 - 60414?\nAnswer: -14115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/3)\/m**10)**(-8) assuming m is positive.\nAnswer: m**(304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:13 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1174 - 1189. Let c = 4 + -19. Let s = k - c. Is s at least as big as -1\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (80\/(-15) - -5)*(2 - 5). Let r be (9\/5)\/(1 + 1). Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**3\/6 - 2*l. Let h(m) be the first derivative of -11 + 2\/3*m**3 + 0*m + 0*m**2. Determine j(h(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614251 by -6.\nAnswer: -614251\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8850 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-20)\/(-30) - -1 - (68926\/(-3) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 + 14108*l\/5.\nAnswer: 4*l*(l + 3527)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**7\/210 + v**6\/30 + 3*v**5\/10 + 5*v**4\/6 - v**3 + 7*v**2\/2 - 8. Let y(h) be the third derivative of d(h). Factor y(z).\nAnswer: -4*(z - 5)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.05, 3, -0.2, -0.25, 497?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 + -3 + 8 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 810 and 5370?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - 7*a**2 - 42*a**2 + 9*a**2.\nAnswer: -47*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 61279 (b) 0.06 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650*b - 650*b - 206*b**3.\nAnswer: -206*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*u - 2, 0*i + u = 4*i - 1. Suppose -3*n + 5*n - 4 = i. Suppose 0 = -n*y + 5*y - 9. Solve -5*p = -y - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 3*d**2 - 6*d - 7. Calculate the remainder when 20 is divided by y(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123882 and 27385430?\nAnswer: 903719190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a72 + -101?\nAnswer: -3073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from mmfwffffwmfm?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1654, -9345, -30188, -70753, -137610?\nAnswer: -237329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020260282 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.611209 + -95.770676. Let a = 25.840043 - f. Let r = a + -120. What is r rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.00698 + -0.0065812. Round b to five dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*g - 412 + 82. Let l(a) be the first derivative of -a**3\/3 - a**2\/2 + a - 1. Calculate l(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*h - h = -20, 5*h - 10 = 3*k. Suppose 2*i - 5*d = k, -i - 5*d - 3 = 2. Which is the closest to 2? (a) 0.1 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**6\/180 - u**4\/8 - u**3\/3 - 7. Let n(f) be the third derivative of y(f). What is the first derivative of n(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191078.476 - -0.05195?\nAnswer: -1191078.42405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5488943038 to the power of 1\/3, to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 4 = -5*c. Let y(k) = -k**2 + c - 30*k + 30*k. Let w(p) = 3*p**2 - p - 5. Suppose -4*t - 15 - 5 = 0. What is t*y(s) - w(s)?\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n + 36 = -54*n. Let f = 7 - 5. Which is the third smallest value? (a) f (b) 0 (c) 0.2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000148755371 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2517 plus -11?\nAnswer: -2528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -228 in -28, -1, 1.1, 3\/5, -2\/47?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 13. Let n be u(-17). What is the second derivative of 3 + 25*a**n - 3 + a**4 + 16*a wrt a?\nAnswer: 312*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 + 0.26. Let j be (8 - 8)\/(6\/2). Let h = 0.07 + -3.07. Which is the nearest to j? (a) r (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12)*u*(u\/u**(1\/5))\/u)**(-25\/3) assuming u is positive.\nAnswer: u**(280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 p when four letters picked without replacement from pkvphkkkphkkhkvkhvkp.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) 0.1 (b) 0.4 (c) 1\/9 (d) 1\/152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**(-7))**(-6\/5)\/((r*r*r\/(r\/(r*r*((r\/(r*(r\/(r\/(r*((r\/(((r\/(r*r**(2\/5)\/r))\/r)\/r*r))\/r)\/r)))\/r))\/r)\/r)))**(2\/77))**28 assuming r is positive.\nAnswer: r**(1282\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12783 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**3\/6 + 79*b**2 - 20*b - 3. Let h be y(-40). What is the greatest common factor of 44 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2878341?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*j - 2*t, 4 = -j - 3*t + 45. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 3634.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314 + 73*b**2 + 2*b - 74*b**2 + 100 to the form n + w*b + g*b**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 262 - 256. Let n(i) = -3*i**2 + 15*i + 21. Let y be n(x). Solve 0 = -y*d + 2 + 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 6*b - 8. Find the third derivative of 379*p**2 + 0*p**4 - 4*p**4 + 2*p**5 - 371*p**b + 2*p**4 wrt p.\nAnswer: 120*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -161, -7 in decreasing order.\nAnswer: 0, -7, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 579a12?\nAnswer: -579a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 92? (a) 4 (b) 2\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 91. Let b be q(18). Put 4, -3\/4, b, -0.23 in increasing order.\nAnswer: -3\/4, -0.23, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -102354 in 3, 4, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 16999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8192*s**4 + 9728*s**3 + 1632*s**2 + 98*s + 2 = 0 for s.\nAnswer: -1, -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -316, -321, -330, -343, -360, -381?\n\"Answer: -2*h**2 + h - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 1, -35, 4 in ascending order.\nAnswer: -35, -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -0.08.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/4 - -2)\/3. Let q = -0.35 + 0.45. Which is the second biggest value? (a) y (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n - 13*n**2 + 2*n**3 - 572*n**4 + 12*n**2 + 580*n**4 to f*n + k*n**3 + d + l*n**2 + i*n**4 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -318\/4687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187 + -185.13. Let i = -0.69 + w. Let x = 9.42 + i. Round x to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 - 53 - 226 - 2*c - 396.\nAnswer: -2*c - 511","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 6*d**3 - 8*d**3 + d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - 50?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gerrguureaglau. Give prob of sequence ur.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/2910)\/((-145)\/(-174)).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*d, 5*i - 2*d = 181 - 146 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + -1.94. Let q = -16.6 + 21.6. Sort w, q, 0.3.\nAnswer: w, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**2 + 14985*g - 44910 = 0.\nAnswer: 3, 2994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 42 = 36*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:52 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10703\/50 smaller than 215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/12 - q**4\/24 - 2*q**3\/3 - 2*q**2. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -152453*b. Let h(o) = 112*o. Determine j(h(s)).\nAnswer: -17074736*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + k - 18358, -4*g + 26*k + 73429 = 31*k. Calculate the highest common divisor of g and 301.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 508, -21 in descending order.\nAnswer: 508, -21, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 - t - 12. Let x(f) = -f**2 - 1. Let p(b) = -o(b) + 6*x(b). Let w be 0*2\/8*2. Calculate p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6720 or -2\/123?\nAnswer: -1\/6720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {y: 5, r: 1, p: 1, i: 2}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.041 - 47.041. Let h = 63.63 - 110.54. Let z = l - h. Round z to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - 110f23?\nAnswer: -110f36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 519*v**3 + 231 wrt v.\nAnswer: 1557*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-915)\/(-9))*772\/3474?\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62934571, 62934575, 62934581, 62934589?\nAnswer: 62934599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**2 - 15*v - 163. What is the remainder when f(-7) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044 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 g be -3 - (-54)\/36*(-20)\/(-6). Let x(r) = -2*r - 3*r**g + 7*r**2 + 2*r**2 + 0*r**2 + 5*r**3 - 8 - 4*r**3. Determine x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19347467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-1 - 2) - (3 + -22). Solve 8*i + 24 = -q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-5) + (9 - (-48)\/(-5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/9, 0.2, -0.046?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -80.\nAnswer: -79.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 17*s**3 + s**2 - 2*s + 1. Let g = 1 - 17. Let n = g - -17. What is the units digit of d(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 4. Let w be ((-114)\/q)\/(6\/24). Suppose -10*a = -7*a - w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**5 + 2392*m**4 - 140096*m**3 - 29563000*m**2 + 2344619076*m + 2374039584 = 0.\nAnswer: -111, -1, 103, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*(-12)\/2. Let s = w - -6. Let c(t) = -t + 5*t**2 - t**2 - 2 - 3*t**s. Give c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 + 106.9. Let l = 11 + f. Which is the third smallest value? (a) l (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**4 + d**2 + d - 1. Let h(c) = -4*c**4 + 0 + 4*c**2 + 6*c + 0 + 2*c**5 - 4. Let t(u) = -h(u) + 4*v(u). Find the second derivative of t(z) wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28717 from -0.1.\nAnswer: -28717.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2. Let t(x) = 3 + 9 + 11*x - 13*x + 8 + 18. Calculate y(t(f)).\nAnswer: 12*f**2 - 456*f + 4332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-56)\/(-52) - 1)*-8. Let c be (2 - 4)\/(((-286)\/(-33))\/(-13)). Is c at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmxmmmmmmmmmm. What is prob of picking 3 m?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 15. Let v be p(13). Suppose -17 = -c + v. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:14 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*o + 31*o - 18. Sort -2, o, -14 in decreasing order.\nAnswer: o, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tajafeg. Give prob of sequence fj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 6*i**2 + 2*i + 12. Let s be d(6). Suppose 3*b + 6 = 3*r - 2*r, -4*r + s = -4*b. Solve -2*p = -4*p - r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**(-1\/9)\/t)))**(-48)\/(t**9\/(t\/(((t*t\/(t**(-1)\/t))\/t)\/t))))**(-7\/5) assuming t is positive.\nAnswer: t**(-182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -85 - 5*l**5 - 86*l**4 + 20*l**2 + 150*l**2 + 91*l**4 + 10*l**3 - 90*l**4 - 5*l = 0. What is l?\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140313 (base 11) in base 16?\nAnswer: 35b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((64 - 33 - 37) + 0 + 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-35)\/20 - 6\/(-8). Let w(g) = -g**2 + 9*g + 6. Let o be w(8). What are the prime factors of -1*l*(o + 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 2*m + 1. Let q be s(-1). What is the units digit of (3\/(-6))\/((-1)\/q) - -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 - 233*i - 7. Calculate the lowest common multiple of c(49) and 498.\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 81002.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -8*h + 4*h + 16, -3 = 3*a - 5*h. Let m = 320\/1639 - 2\/149. Let j be ((-2)\/8)\/((-5)\/(-8)). What is the biggest value in m, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m - 8. Let d be y(-6). Suppose -2*h = 3*l - d + 1, 0 = 5*l + 4*h - 15. Solve -l*s - 5*n = -0*s - 27, 5*s - 5*n = 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7980911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o, 2*f + 3*o = 7*o + 2. Let w be 6\/(-4)*2\/f. Suppose w*k = -k + 740. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26616 and 19962.\nAnswer: 79848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*c - 144 = 0, -h + 4*h + 124 = 2*c. Let b = -21 - h. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, -3, 0, -1, -20, 2.\nAnswer: -188, -20, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/88)\/(12\/(-64))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 105 = -14*x. Suppose x*t = 3*v + 134, 0 = -4*t - 5*v + 66 + 19. Solve 5*y + t = 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 0.09.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5341*u**3 - 5709*u**3 - 44*u**2 + 11470*u**3 + 144*u**4 - 2*u - 16*u - 5*u + 3 = 0.\nAnswer: -3, -1\/4, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3. Let s(o) = o + 4. Let f be s(m). Suppose -f*p - p = -190. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210*l**2*q**2 - 2*l**2*q + 2*l*q**2*z - 111*l*q**2 - 4*l*q*z + 11*l*q + 8*q*z - 6*q + 8*z wrt q?\nAnswer: 420*l**2 + 4*l*z - 222*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*z**3 - 300*z**3 - 400*z**3.\nAnswer: -59*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 78 = 4*n, 3*a = -2*n - 89 - 60. Is -46 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -228, -525, -988, -1701, -2748, -4213?\n\"Answer: -14*g**3 + g**2 - 202*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1964949.\nAnswer: 3, 7, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53845004 at most as big as 53845000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -24*x - 3. Let j(o) = 45*o + 6. Give 6*j(q) + 11*p(q).\nAnswer: 6*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 884991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 1, h: 1}. What is prob of picking 1 d and 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 16) to base 11.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*p + 118 + 15 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 + 544*d**4 + 3198*d**3 + 1576*d**2 - 5320*d = 0. What is d?\nAnswer: -266, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Differentiate 2 - 8 + 2 - 1 - r**a with respect to r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 923*y - 1809*y + 886*y + 1756*y**3.\nAnswer: 1756*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 4. Let c(m) = -14*m + 13. Give -3*c(w) + 8*j(w).\nAnswer: 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10091502 to three dps.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 - 6*x**2 + 17*x + 19. Suppose 0 = -2*o + 17 - 1. Let n be u(o). Let r = n - 1082. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {a: 1, w: 14}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 424\/12 - 1\/3. What is the third derivative of 33*f**4 - 7*f**2 - s + 8*f**4 + 35 wrt f?\nAnswer: 984*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.8, -1\/19, -0.1, 14 in decreasing order.\nAnswer: 14, 1, -1\/19, -0.1, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 8*k - 135. Give d(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -152? (a) -26\/5 (b) -4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 - a + 1. Let t be (1 + -3)\/(-1 + -1). Let u be h(t). Suppose -2*o + 0*o = -8, -d = 5*o - 24. Solve 4 = -d*c - u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60838.083 - -81.083. Let a = -60707.899 - r. Let p = -0.101 + a. Is p >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1 - -1) + 0. Suppose 4*l + c = 10. Let i = -4 - -8. Calculate the remainder when i is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16314 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**6 + 7127194*y**5 - 3*y**3 - 538592*y**2 - 7*y?\nAnswer: 240*y**3 + 427631640*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -913 - 1bd?\nAnswer: -ad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3761 + -4?\nAnswer: -3765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + 27 + -24 - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6528 = 587*j - 593*j. What is the remainder when j is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 - 172.9. Let u = -0.1 + k. Let v = 6 - u. Which is bigger: v or 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 13) to base 7.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742654 is divided by 710?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4834*b**2 - 9*b + 6. Let r(g) = 15589651*g**2 - 29022*g + 19348. What is -3*r(c) + 9674*w(c)?\nAnswer: -4837*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(-47)*(y**1)**(35\/4) assuming y is positive.\nAnswer: y**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.92 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*z - 680 - 6756 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 70*g - 1044. Let r be h(-22). Let t be (75\/(-4))\/(2\/(-32)). What is the greatest common divisor of t and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156234 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 15*q - 7142 = 2*c, -5*q - 2*c = -5959. Calculate the remainder when q is divided by 127.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -847, -6343, -21021, -49471, -96283, -166047, -263353?\n\"Answer: -765*g**3 - g**2 - 138*g + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -69231 (b) 0.11 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-9) + 4)*75\/(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 5 + 101 = 0. Solve 103 = l*c + 135 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 8*n**2 + 28*n - 153. Let w be s(7). Let a(q) = -3*q**2 + 2*q. Let l(g) = -g**2 + g. Calculate w*a(v) + 15*l(v).\nAnswer: 3*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 53.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 730204771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-3))\/((-1)\/(-1))*(-170)\/850.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqu when three letters picked without replacement from {o: 2, u: 1, q: 1, r: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 6 = 2*u + l, -2*l = -2*u - 16. Let m be (-3 - (u - -2)) + -2. Let o be 40\/(-3) - m\/6. Which is greater: o or -14?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 - 24228*d**2 + 48468*d - 24236 = 0. Calculate d.\nAnswer: -6059, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 4*k, -8 = 2*f + 4*k - 0*k. Is 10 a factor of (f\/6)\/((-2)\/198)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 11:53 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 + 3*t**2 - 4*t**2)*(5*t + t**2 - 5*t) - 6 + 3*t**4 + 6.\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + -9 + 2 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4109 - 60322.\nAnswer: -60322.4109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x**4 + 570*x**3 - 983*x**2 - 504*x + 1040 = 0. What is x?\nAnswer: -65, -1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + d + 2 + 3 + 4*d**3 in the form p + i*d + u*d**3 + c*d**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -7. Suppose -5*w = -3*w + 2*j - 44, 0 = z*w - 5*j - 90. What is the least common multiple of 8 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 13 = 88 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, 13.9, 24.\nAnswer: -1, 0.2, 13.9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -49*y**3 + 278*y**2 + 41*y + 273. What is v(6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:02 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u - 94. Let s be d(8). Solve -7*i + 31 - s = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*u**4 + 40284*u**2 - 168*u - 42990209 wrt u.\nAnswer: 24*u**3 + 80568*u - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000027284 to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -q - 6, -5*q - 4*a - 22 = -49 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-78)\/(-12) + -6). Let h = -13 + 12.6. What is the smallest value in h, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-2))\/(2\/3). Let w = 6 + r. Solve 8*q = 3*q + 5*v, w = -q - 4*v - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 2*v**2 - 43*v\/4 - 55\/2.\nAnswer: (v - 5)*(v + 2)*(v + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 495775 to the power of 1\/2, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/12 + 29*n**3\/6 + 49*n**2\/2 + 1202*n. What is o(32)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**3 - 17*k**2 - 16*k - 216. Let s be i(-10). Put 1, s, 0 in decreasing order.\nAnswer: s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 665 - 435. Let t = -238.95 + n. Let r = -0.05 + t. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1333*x**3 - 31109*x**2 - 31109*x**2 - 31109*x**2 + 93327*x**2.\nAnswer: 1333*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:30 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20219902 - 20219902 - 47*x**2.\nAnswer: -47*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -14, -5 in ascending order.\nAnswer: -14, -5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2516?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10)\/(x*x*(x**(1\/4)\/x)\/x*x))\/(x\/(x*x**(2\/3)))**(-1\/98) assuming x is positive.\nAnswer: x**(-6619\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**5 - 763719*q**4 - 16*q**3 - 533303452*q**2 wrt q?\nAnswer: -240*q**2 - 18329256*q - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = 4*p, -5*s + 49 = -3*p. Suppose 3*n + 5*b = -s, 3*b = -n - 2*n. Solve n*g - 4 = -8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5\/3 - 12*q**4 - 28*q**3 - 76*q**2\/3 - 8*q.\nAnswer: -4*q*(q + 1)**3*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001227 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 93.63.\nAnswer: 91.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -504367280*w**5 - 6390001*w**2 + 94?\nAnswer: -30262036800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21\/((-12)\/(-56) - -2 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzezl. What is prob of sequence el?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.2 (b) 1\/2 (c) -4 (d) 1 (e) 39 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 71*y - 6. Let r be k(9). Suppose 5*j - 2*j = r. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from rrrrvrrr.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794 rounded to the nearest 10?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, d: 13}. Give prob of sequence ddv.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -11 - (9 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26871*0.2\nAnswer: 5374.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05401414397 and -0.5.\nAnswer: -0.44598585603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {u: 1, d: 4, y: 6, i: 1, r: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 at least -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**7\/420 + j**6\/60 - 7*j**3\/3 - 2*j**2. Let o(n) be the first derivative of v(n). Solve o(r) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -104*r + 109*r + 17, -4 = r + s. Put -273, 1, -1\/9, r in ascending order.\nAnswer: -273, r, -1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 899, 1761, 2623?\n\"Answer: 862*j + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 121666713+-387\nAnswer: 121666326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*t = -g - 17, -2*g = -2*t + 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 11) + (-67 - ((159 - 174) + (-1 - 1)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 1 - 19 - 2*j)*(7*j + 3 - 3) in the form k + n*j + m*j**2 and give n.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 3, g: 1}. Give prob of sequence mq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5402)\/1314)\/((-30)\/270)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 2*y. Let b be q(-2). Let r(c) = -3*c - 15. Let z be r(-7). Suppose b*v + 4*p = -2*v + 46, -3*p - z = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 593*a**2 + 1791*a - 1791*a - 552*a**2. Let h(n) = -3*n. Give p(h(w)).\nAnswer: 369*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 67*q**2 + 6. Let o(a) = 2*a. Calculate o(x(k)).\nAnswer: 268*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 7*y**2 + 10*y**3 + 6*y**2 + y**2.\nAnswer: 10*y**3 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.3 + 8. Let j be 2\/3*2\/(-4). Which is the closest to -0.1? (a) -5 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 32. Let z(r) = 3*r - 96. What is 7*d(w) + 2*z(w)?\nAnswer: -w + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 a, and 1 e when four letters picked without replacement from {a: 7, k: 1, p: 2, e: 1, w: 7}?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -43701779384 less than 8?\nAnswer: 43701779392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 2*c + 35, 2*f - 471 = 2*c - 429 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10*w + 16. Let u be i(-2). Let h be (0 + 27)*(0 - 5). Calculate the remainder when 45 is divided by u\/10 - 1809\/h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (102\/(-3294))\/(1496\/(-528))\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*p - 126*p = -4791 - 9193. Solve -41*o + p*o - 1 = a, 2*a = 5*o + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -135*l + 1206. Calculate w(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {h: 1, a: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018345084 to five decimal places.\nAnswer: -0.01835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2152395*g**3 - 11332*g - 76 wrt g.\nAnswer: -12914370*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 4. Let j be r(-2). What is the second derivative of 9*t - 2*t + 10*t**4 + j*t - t wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2349216 is divided by 293651?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448810576?\nAnswer: 2, 28050661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -99 - -bb20a1?\nAnswer: bb2007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267681 to the power of 1\/2, to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1538 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - j = -3 + 17, -2*j + 12 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = -3*y + 24, y - 4 = 2*m. Calculate the remainder when 17 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 10*j + 7. Let v be t(-10). Let x = v - -2. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498418723?\nAnswer: 11, 4119163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -18. Let i = q - 13. Suppose -4*y - 2 = -i*y. Solve -5*f - 7 + y = 0, 5*u + 23 = 2*f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4158 and 5376.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1845 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:49 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 24 = 3*u + u, -4*q - 2*u = -24. Let p = q - 10. Sort 0, p, -5 in decreasing order.\nAnswer: 0, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)\/(4 - 6). Find the common denominator of a + (-1)\/(-9) + (-106)\/135 and 73\/6.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*o + 12, -5*o - 12 = -2*v - o. Let w be 5\/((-5)\/v) + 6. Let d(u) = -u + w - 3*u**3 - u**2 + 2*u**3 - 4. Calculate d(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a**2 - 2*a**2 - 11 + 7)*(2 + 2*a**2 - 2).\nAnswer: 2*a**4 + 2*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3124858 is divided by 579.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-318)\/53*(-52)\/(-24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512178.4 years to millennia.\nAnswer: 512.1784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13077*p + 15105*p + 12463*p.\nAnswer: 40645*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7104 and 91776.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*y + y**2 + 2*y**2 - 555*y + 189*y + 196*y.\nAnswer: 3*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**23))**19 assuming z is positive.\nAnswer: z**(-456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by (-241)\/(-9) - 20\/(-90)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o + 52. Let j be s(-4). Suppose 4*q + j = 2*y, -18*y - 4*q = -23*y + 8. Which is greater: y or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35362 + -10?\nAnswer: 35352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/45*24\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g*g**(4\/3)*g))\/g)*g*g**(2\/23)*g)**(-31) assuming g is positive.\nAnswer: g**(-13733\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12404 = -3*k. Let u = 2213 + 1508. Let z = u - k. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6733 + -6734. Suppose 1 - 4 = -c. What is the second smallest value in -7, c, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158\/13 - -17899\/1508. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 53. Suppose 3*y - i*r - 2 = -5, r - 16 = -4*y. Suppose 3 + y = m. Calculate the greatest common divisor of 30 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6674 (base 8) to base 2.\nAnswer: 110110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 7\/2, 3, 152, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3712.94437 less than -66480?\nAnswer: -70192.94437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 20*q**2 - 32*q + 37. Does 12 divide t(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 5. Let d be 9 - ((-3)\/a - 1). Let i(x) = -5*x**3 - x**2 - x. Let p be i(-1). Solve -3*c - p = d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665334 (base 9) to base 16.\nAnswer: 6110b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 7*n**4\/6 + 91*n**3\/2 + 72*n**2. Is r(34) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -15. Suppose s*h - v - 7 = -h, -20 = -5*v. Calculate the lowest common multiple of 1 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2577054658.\nAnswer: 2, 9439, 136511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1900) - (sqrt(931)*-3 - sqrt(19)) - (-4*(3*sqrt(152) + sqrt(152) + sqrt(152)))\/sqrt(8).\nAnswer: 62*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h - 3. Let x be z(3). Let j = 32 + x. What is the least common multiple of 4 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxo when three letters picked without replacement from oonxxtnnsxxtontt?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-600)\/12 + 45)\/5)\/(1\/74)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -7 - 7. Calculate the smallest common multiple of l and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*(sqrt(12) - 2*sqrt(12)))\/(sqrt(144)*-1) + 3).\nAnswer: -3*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -50a2?\nAnswer: 509b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -5*c - 12, 2*r = 2*c + 6. What is the units digit of -1 - c - (-56)\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/344 and 33\/792791?\nAnswer: 6342328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -9 - -49 - 43\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(114)*-1 - sqrt(114))*-6 - sqrt(114))*-4)\/(sqrt(144)\/(sqrt(6)*-1)) + -3)**2.\nAnswer: -132*sqrt(19) + 9205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {r: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c*c*c**10*c)\/c*c)\/(c*c**(-1\/7)))\/((c\/c**(-18)*c*c)\/c*c\/(c*c*(c*c**19)\/c)*c) assuming c is positive.\nAnswer: c**(92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -12. Let b = h + 18. Suppose -3*l - 2*x + b = l, 2*x = -l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-5\/7))\/d**(-10)*d\/d**7*d**(-11)*d)**(3\/17) assuming d is positive.\nAnswer: d**(-90\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -873*t + 4409. What is m(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 38 = 179. Let q = -32 + k. Let o be (-6250*(-40)\/6)\/(q\/360). What is o rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1644958 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8442.99993293 - 8443. Round q to 6 decimal places.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wvwvvvvv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*r + 105, -r = -6*r + 20. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/11 + 269520*n\/11 + 17523025\/11.\nAnswer: -(n - 269585)*(n + 65)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.083 (b) 0 (c) -0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*j + 3 = 55, -j = -5*s + 54. Solve 5*a = -15 + s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -508 by -127.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 2. Let i(w) be the second derivative of w**5\/20 + w**4\/4 + w**3\/3 + w**2 - w. Let m be i(-3). What is y(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31442806897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 6*j**2. Let k = 6 + 0. Let n(b) = b - 1. Let h be n(3). Let v(a) = 6*a**2 + k*a**3 - 5*a**2 + 6*a**h - 4*a**3. Calculate 5*v(p) - 6*x(p).\nAnswer: -2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/((-5)\/(-4))*(-228 + 227). Let j(g) be the third derivative of 0*g + 1\/18*g**c + 0 + 9*g**2 + 1\/45*g**5 + 0*g**3. Factor j(w).\nAnswer: 4*w*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6a7 (base 13) in base 15?\nAnswer: -6cb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**3 - 11*l**2 - 21*l + 6. Let h(o) = o**3 + 2*o**2 + 4*o - 1. What is 2*b(i) + 11*h(i)?\nAnswer: i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a5 + 4?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.006 + -27.006. Let h = 26.957 + i. Round h to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1380250 divided by -10.\nAnswer: 138025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1211*v - 5638 = 1628 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 5:38 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.8 + 567.4. Round d to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*z**3 - 12*z + 12*z)*(4*z - 4*z + 2*z)*(25 - 6 - 14) in the form p*z + k + u*z**3 + l*z**2 + f*z**4 and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2259 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2847.\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/3))\/c)**39\/(c**(-1))**(16\/7)*((c\/(((c*(c\/(c\/(c\/((c**6\/c)\/c*c))*c))\/c)\/c)\/c)*c)\/c**(1\/4))**(-1\/34) assuming c is positive.\nAnswer: c**(14307\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, f: 1, c: 1}. Give prob of sequence rc.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12024472 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*a = -231 + 1038, 2*b = 5*a + 423. Does 36 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*w**4 + w**4 + 2*w**2 - 58*w**3 + 4 + 116*w**3 - 56*w**3 - w**2 in the form b*w**3 + g*w**4 + a*w + o + j*w**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 11*r + 6*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, -1, -361, -5?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jikiekjikkqkikui. What is prob of sequence iukk?\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 18, p: 2}. Give prob of picking 2 l and 1 p.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 8*m**2 - 2*m + 3. Let f = -28 - -34. What is the tens digit of n(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1307951, 2615895, 3923829, 5231753?\n\"Answer: -5*t**2 + 1307959*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g**3 - 4*g + 8. Is q(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -3 + (-55 - (36 + -84))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27420053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a kilometer in meters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -32*x**2 + 6*x + 4. Let i(w) be the second derivative of w**4\/4 - w**3\/6 + w - 37. Let n(r) = 4*c(r) + 44*i(r). What is f in n(f) = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 5.8. Suppose 4 + 20 = -5*i - y, 0 = 3*y - 3. Let d = i - 0. What is the closest to -2 in -0.1, d, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 41*d**2. Let s(n) = -45*n**2 - 2. Calculate s(h(t)).\nAnswer: -75645*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -9.3. Let j = -13 + u. Which is the nearest to 0.1? (a) -4 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - w = -6257, -4*p + 3*w - 1973 = -10346. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 127, 208, 303, 418, 559?\n\"Answer: h**3 + h**2 + 71*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195 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: Evaluate 2 - 6 - (0 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -281 (b) 2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {v: 2, w: 2, e: 1, s: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 3537589100*d - 3537589100*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*y - 60, 5*y + 49 = -3066*l + 3064*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1834178756 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/12 and -43\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 247\/5. Let p = 0.18 - 0.28. Let v = 227 - 913\/4. Which is the nearest to 1? (a) t (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3002 is divided by 730?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.95850218 from -0.153.\nAnswer: -7.11150218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6569 (b) 18 (c) -0.1 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, -2\/7, -1\/12, -0.1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4583633, 4583635, 4583637, 4583639, 4583641?\nAnswer: 4583643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {b: 4, w: 6, u: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -45\/527846?\nAnswer: -45\/527846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 822 + -4107\/5. Which is the nearest to 2? (a) x (b) 1\/2 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 11. Suppose 0*y + 8 = 2*y. Differentiate -1 + w*t**3 + 2*t**3 - y*t**3 with respect to t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*((sqrt(117) - sqrt(13)) + 1 + 4) - (0 + 0 + sqrt(13) + -2)*-2))**2.\nAnswer: 200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 978 = 2*q, -3*d = 4*q + 983 + 489. Let r be ((-33)\/d)\/((-1)\/(-8)). Which is the third smallest value? (a) r (b) 1\/8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 6:25 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 + 12466226211429.\nAnswer: 12466226211452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-152) - (-62)\/(-240).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4601.71941 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/1495 and 79\/7360.\nAnswer: 95680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -15. Solve 5*m = -10, -2*b + b + 1 = -y*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {g: 2, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Let k = -1.67 - 0.33. What is the closest to b in -0.3, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12260.\nAnswer: 2, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 534747, 1069473, 1604199, 2138925?\nAnswer: 2673651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 7. Let i be h(6). Suppose -i = -g + 5. Calculate the smallest common multiple of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.07, -0.2, 15, 1, -5 in increasing order.\nAnswer: -5, -2, -0.2, 0.07, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13, 5, 0, -96, -1246 in ascending order.\nAnswer: -1246, -96, -13, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/2288)\/((-2)\/22)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmqmmmmqqqqq. What is prob of sequence qq?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 11:21 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271430318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 22 = 3. Suppose -2*n = l*z - 23, 3*z - 4*n + 1 = -2*z. Factor -16*v**4 - 10*v**2 - 5*v**3 + 9*v**2 + z*v**3 - 6*v**3.\nAnswer: -v**2*(4*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3 - 1977640*p**2 + 31641148*p + 33618792 = 0. Calculate p.\nAnswer: -1, 17, 494394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20951588.\nAnswer: 2, 7, 748271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 3. Let n(a) = -a - 3 + 13 - 12 - 4 - 3*a. Determine -7*b(l) - 4*n(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3277434 + 3277227.00166. Let t = i - -207. Round t to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.071 and -3622?\nAnswer: -257.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 137 - 45 = 0. Suppose -a + u = a. Let c = 33 - a. Calculate the lowest common multiple of 18 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 9. Let j be m(-6). Suppose 0 = -d - j*y - 13, 3*d - 5*d = 2*y + 6. Suppose -2*k + 4 = 2*v - 2, v = d. Solve -3*w = -k - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0532 - -2.9468. Which is the closest to -3? (a) 5 (b) -3 (c) o (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.4. Suppose 3 = q, -q + 5*q = 4*u - 120. Let s be u\/(-55) + 1\/10. Which is bigger: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64115 is divided by 21371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1862, 3699, 5522, 7325, 9102, 10847, 12554, 14217?\nAnswer: 15830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -237 - -235. List the prime factors of 0\/m - 199\/(-1).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 28 = -g. Let q = g + -10. Suppose -q*t = 4*u - 12, -4*u + 14 = 5*t + 2. Solve 7*s - 2*s + 15 = t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) 0.4 (c) -9.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3665716 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/6 - 4*a**3\/3 + 4*a**2 - 17*a. Factor p(n).\nAnswer: 2*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/11))**(-2\/21)\/(c**(5\/6)\/(((c*c**(-9)*c)\/c)\/c)))**22 assuming c is positive.\nAnswer: c**(-1517\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11018110, 22036219, 33054328?\n\"Answer: 11018109*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - f + 3, -3*w = -7*f + 6*f - 29. Solve -5*k - h = -2 + 16, 2*h + w = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650240 and 3520?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56580 and 622380.\nAnswer: 622380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -q - q + g, 0 = 5*q + 3*g + 186. Calculate the common denominator of 125\/54 and 322\/q - (-7 + 5).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-4\/15)\/d*d)\/(d**30\/d))**9)**(-21) assuming d is positive.\nAnswer: d**(27657\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 = -p, 2*p + 18 - 29 = w. What is the smallest value in 1, p, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 366*c + 3171. What is a(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, l: 2, n: 6, d: 1}. Give prob of picking 2 x and 2 l.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -c - 4, -b + 2*b = -5*c - 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:40 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67563 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faxxaafxxffxxxaa. Give prob of sequence faxx.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 324, -1, -2004 in ascending order.\nAnswer: -2004, -1, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3393*d + 30 = 3383*d. Let b(w) = w**2 + w + 1. Let z(m) = 11*m**2 + 3*m + 5. What is d*b(f) + z(f)?\nAnswer: 8*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 3.34, 2, 2\/13, 0.9, -12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/98)\/(((-40)\/4)\/70). Which is smaller: m or 8\/39?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**2 + 6*m**2 - 5*m**2 + (1 - m - 1)*(5*m - 4*m - 4*m) + m**2 + 2*m**2 + m**2.\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:28 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19442 is divided by 779?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/9)\/(22\/22).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 1826*h + 18351. Calculate x(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/15*(-612)\/68?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.053 + 0.053. Sort 1, p, -23, -4.\nAnswer: -23, -4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1070881.5 hours?\nAnswer: 44620.0625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**4 + 2*v**3*y**3 - 28*v*y - y**3 - 34*y with respect to v.\nAnswer: 4*v**3 + 6*v**2*y**3 - 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5754 - 5753.9999997738. What is b rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24119409*c**6 - c**5 - 337450322*c**2 wrt c.\nAnswer: 2894329080*c**3 - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.82216785 - 2397.97?\nAnswer: -2400.79216785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*5*(224\/(-176))\/14.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c**2 - c - 3. Let f be (5\/(-3))\/(2\/18). Suppose -d + m - 79 = 4*d, d - 4*m + 31 = 0. Let a = d - f. What is b(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 33*c - 11. Let u(q) = -36*q + 11. Give -3*u(z) - 4*x(z).\nAnswer: -24*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 5*n - 4*n + (-2069 + 355*n + 2069)*(3 - 1 - 1))*(-n + n - 2*n**3).\nAnswer: -712*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:50 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1534.2271.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -28*l**3 + 5*l**2 + 5. Let o be 80\/(-90)*36\/(-8). Let k(i) = 27*i**3 - 4*i**2 - 4. What is o*x(a) + 5*k(a)?\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9138*v - 2286*v - 2280*v - 2287*v - 2285*v - 37*v**3.\nAnswer: -37*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (28 - 53) + 22 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/40)\/((-10)\/8). Let x = -107\/60 - l. What is the common denominator of -67\/10 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 2 - -5 - 48\/(-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/988 and 97\/228.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 2\/11, -4, 3, -4\/5, 2\/5 in descending order.\nAnswer: 3, 2\/5, 2\/11, -3\/8, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 22385*b + 246227. Give t(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-14 - 4 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14869\/85 + 175. Let k = h - -152\/255. Is -5.7 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 4. What is u(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/2 - u**3\/3 + u**2\/2 - 55*u - 4. Give d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 4*h**2 + 2*h - 4. Calculate the lowest common multiple of 7 and r(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 317304 and 236574.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 658 - 22 = 0. Suppose -3*i - i + x = 0. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((153296\/52)\/67)\/(1*-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 0*u**3 + u**4 + (u + u - 9*u)*(0*u + 2*u**3 + 0*u).\nAnswer: -13*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 182. Let c = o + 94. Solve 0 = 2*m - 4*d + c, m + 5*d - 24 = d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -84. What is the third derivative of 2*j**6 - 3*j**2 - l*j**2 - 3*j**6 wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 7 = 4*h. Solve h*p - p = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + n - 4, -42*p - 28 = -39*p - 2*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9004\/17 - 531. Which is the smallest value? (a) -0.4 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 k when three letters picked without replacement from {g: 2, x: 8, k: 5, y: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(1 + 2\/4). Let o(n) = -n + 22. Let z be o(13). Suppose -z = -2*c + 11. Calculate the highest common divisor of b and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(28)\/sqrt(4) + 5 + 5)**2 - ((-3*sqrt(343) - sqrt(343) - sqrt(343)) + -4)*1)*5.\nAnswer: 305*sqrt(7) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2907, 5354, 7453, 9204, 10607, 11662?\n\"Answer: -174*l**2 + 2969*l + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 72087*p = 72088*p + 5, -4*c - 3*p = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37453, -37461, -37477, -37501, -37533, -37573, -37621?\nAnswer: -37677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*o - 679*o = 3*z - 43 + 3, 2*o - 54 = -4*z + 5*o for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1077574.5 to the nearest 10000.\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-1 + 12) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 44*o**2 + 4*o - 23. Let l(n) = -43*n**2 - 3*n + 24. Suppose 0 = 5*c + 20 - 5. Let p(d) = c*m(d) - 4*l(d). What is the derivative of p(a) wrt a?\nAnswer: 80*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-3 - (-3 + 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -1\/12*b**4 + 25\/2*b**2 + 0 - 1\/6*b**3 + 7*b. Let k be v(0). Solve 5*r = -2*d + 25, -k = -5*r + 6*d - d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 8*h - 7. Suppose 3*g = -m + 17, 3*g = 7*g + m - 24. Calculate s(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - -2) + (-5093)\/473. Is p at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/2*10059\/(-16765).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -5*o**4\/6 - o**3 - 11*o**2\/2 - 9*o - 1. Let b be p(-2). Sort b, 3, 1.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 3*q**2 - 4. Let m(g) = -5*g + 52. Let a be m(9). Suppose 2*x - 18 = b - a, -5*x - 3*b = 0. Give z(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbibbibbibii. What is prob of picking 1 b and 1 i?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:36 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 756 in -2\/7, -3\/10, 5, -44?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8838 and 10311.\nAnswer: 61866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 856098 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*k - 28 = -10, 3*l - k = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1395\/(-1440) + (-1 - -2). What is the second biggest value in 4, z, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-22) - (-26)\/(-22). Let i(g) = -2*g + 107. Let t be i(5). Let l = 85 - t. Sort c, l, -3.\nAnswer: l, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83319 + 2.9151.\nAnswer: -83316.0849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 14) + -115 + 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - -314221?\nAnswer: 314203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -21. Which is the nearest to z? (a) 1\/7 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(720) + -1 - (-2*sqrt(5) + 4)**2*-5.\nAnswer: -68*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a decade in years?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14.8*-1\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/16 (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 17. Let u be y(7). Solve 4*m = u*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 - j**2 - j**2 + (-j + 4*j - j)*(-16*j - 18*j - 13*j) as q*j**2 + s + l*j and give q.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/180 and ((-17850)\/4455)\/(-35) + (-2)\/(-11)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d, 3*j - 6*j - 3*d + 162 = 0. Suppose 128 = -22*q + j*q. Let c = -0.01 - -3.01. Sort 1, c, q, -0.1 in increasing order.\nAnswer: -0.1, 1, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174304955?\nAnswer: 5, 11, 19, 166799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-75)\/(-5)))\/((2\/6)\/(100900\/(-1009)))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a06981 (base 11) in base 3?\nAnswer: -20101021220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-16) - -1 - (-6)\/24. Solve y*i + 5*b = 22, -1 = -3*i - 4*b + 18 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 5, 0.2, 2, 25, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -16*h**2 - 182*h - 262. Determine x(-9).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*w - 7284 = -228*w + 2016 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/(-100))\/9*(-4)\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 41345 and 41346 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7087\/63 >= -0.376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253\/54 - -56\/9. What is the common denominator of -25\/2 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4264.71 weeks in microseconds?\nAnswer: 2579296608000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 7:54 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**2 - 129*c + 4. Determine z(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - v - 1)*(-3*v + 2*v - v) + 88*v**2 - 851*v**2 - 3947*v**2 to o*v + j*v**2 + f and give j.\nAnswer: -4708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 566839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -511.553 - -509.1. Let j = 0.047 - l. Let g = 1.8 - j. Which is bigger: g or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 = -4*v + j, -v = 11*j - 6*j - 183. Let n = 74 + 118. Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b - 675 + 4171. Let x = -117 - b. Solve -5*j = -5*o - x, 5*j - 9 = -4*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d - 3. Calculate j(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -286d (base 14) to base 5.\nAnswer: -212103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 732 + 213 = 63*t. Sort -4, 4, t, -11 in increasing order.\nAnswer: -11, -4, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 13576430*c + 95034765.\nAnswer: 5*(c + 7)*(c + 2715279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145860471 is divided by 4404?\nAnswer: 4395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*g**2 - 2*g**6 + 7*g**6 - 52*g**2 wrt g?\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5576851m to millimeters.\nAnswer: 557.6851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -9.6. Let z = -6.1 + d. Let q = z - -0.5. Which is the second smallest value? (a) q (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g**3 + 47*g**3 + 57*g**3 + 80*g**3 - 226*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558341 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -145921.198 rounded to the nearest 1000?\nAnswer: -146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95822491?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*1)\/sqrt(8)*-6*-6)\/(sqrt(14)\/sqrt(252) - sqrt(16)\/(-1*sqrt(8))).\nAnswer: 216*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 + 59*y - 2*y**3 + 39*y**2 - 73*y**2 + 34*y**2 to the form b + u*y + t*y**3 + n*y**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 278 = -3*x, h + 3 = 8. Let y(z) = 11*z + 19. Let b be y(-6). Let s = b - x. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82031290 rounded to the nearest 100000?\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -129211927, -129211925, -129211923, -129211921, -129211919?\n\"Answer: 2*f - 129211929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2888 - 1640. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 8*g**2 - 12*g + 38. Calculate z(8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1612 and 2132?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -324 - -326. Solve 4*h = -5*g - 26, 0*h + 3*g - j = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56660519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*p + 6, -p + 2*p + 3 = 0. Suppose v*o + 4*o - 7408 = 0. Suppose 1832 = a - 3*u, -2*u = -a - 3*u + o. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5933 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - j + 1. Let l be z(0). Let d be (l\/(-6))\/((-9)\/27). Let 4 - 6*r - d*r**3 + 3*r**2 = 0. What is r?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 + 2.3. Let m = 1.33 - 1.3. Let l be 16 + 5*(-603)\/180. Which is the closest to m? (a) 0.5 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 4*x - 35, 695*p - 696*p = -x + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bccbee. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019903 rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 10. Let m be h(-7). Suppose -38 = -2*v - 4*g, 5*g = m*v - 6 - 5. Solve 3*o = -3*t + 18, 3*o - 11 = -4*t + v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 117435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149020 and 383420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - 6*w**2 + 10*w + 6. Let t be -5*(32\/(-10) + 2). Let l(f) = f**2 - f - 1. What is t*l(b) + n(b)?\nAnswer: -2*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*k + 14*k + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b - 24*b + 8 + 23*b to the form j*b + y and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -54) + -5 + 8 + -2 + 6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 77534440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 36 = -m, 160 = -f + 2*m + 144 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:00 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -5, 0.5, -0.01, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/42 + 1)*(-28)\/21\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 163*m - 126*m - 25974. Solve 0 = 97*n - 171 - m for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in -86, 5\/2, -0.4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*p = -201, -5*p - 34 = 5*u - 284. Let z(v) = -4*v + 1. What is the remainder when u is divided by z(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.77739 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 4*x**3 - 20)*(-2*x**2 + 0*x**2 + 4*x**2) + (-3*x**3 + 4*x**3 + 0*x**3)*((-5*x + 4*x - x)*(3*x + 2*x - 6*x) - x**2 + 3*x**2 + 2*x**2).\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r*w + 366663577*r - 6510*w**4 + 5035*w with respect to w.\nAnswer: 2*r - 26040*w**3 + 5035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.46*-0.051.\nAnswer: -0.02346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*6\/(-3)*-7. Let d = 14 - g. Is 7 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Let o be (-21 - 12\/(-48)) + 20. Sort -3\/5, k, -6, o.\nAnswer: -6, o, -3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2. Let r(x) be the third derivative of -7*x**5\/30 - 35*x**2. What is r(g(v))?\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -530.22 and -6389558.\nAnswer: -6390088.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = f - 0*f, 0 = 4*z + 3*f - 5. Let n be 0 - ((z - -19) + 0). Is (-4)\/n + (-3606)\/(-54) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + d + 24 = 0, 0 = 2*q - 67*d + 71*d - 14. What is m in 0*m + q*m**3 + 15\/4*m**4 + 0 + 5\/4*m**2 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 46 + 46)*(2 - 2 - 3) to u*t + k and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 378 = -18. What is the remainder when 51 is divided by (-4)\/10*-140*(-9)\/v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t + 45. Suppose 2*a - 5*x = a + 34, 3*a - 12 = -3*x. Suppose a = 2*c - c. What is the greatest common divisor of t and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + 5*h**3 + 0*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 13*t**2 - 2*t + 30. Let x be r(13). Suppose 10 = -3*p + x*p. Calculate the lowest common multiple of p and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1522 is divided by 292.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 40, -5\/3, 5, 4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14239 (base 12) in base 3?\nAnswer: -1102101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38893 divided by 4\nAnswer: 38893\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*r**3 - 8*r**2 + 1\/6*r**4 + 26\/3*r + 0.\nAnswer: r*(r - 2)**2*(r + 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**4 - j**3 + j - 1. Let l(q) = 3*q**4 - 5*q**3 + 8*q**2 + 5*q - 5. Let p(h) = -5*d(h) + l(h). What is the third derivative of p(w) wrt w?\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x**2 + 8*x - 30. Calculate l(3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71324, -71296, -71268, -71240?\n\"Answer: 28*c - 71352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4 + 77*c**2 + 9.\nAnswer: 77*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 3*t + 5. Let f be d(3). Suppose -f*a + 9 = -2*a. Suppose -a*c - 2 + 11 = 0. Solve 0 = -c*x + 3 + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 3.52?\nAnswer: -2.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {h: 2, r: 8, o: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 - 208?\nAnswer: -203.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3871 to two dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(1\/4)))\/k**(1\/2)*(k\/(k*k*k**(3\/13))*k)\/k*k*((k*k**5\/k*k)\/k)\/k)**1 assuming k is positive.\nAnswer: k**(157\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -47. Let r = 657.555 + -673.6. Let o = q - r. What is o rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 170 - 3*u + 4*u**3 + 167 to s*u + g*u**3 + y + z*u**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 divided by -13?\nAnswer: -574\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*v - 14 = 93*v. Put 19, -3, v in decreasing order.\nAnswer: 19, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**3 - c**2 - c + 1. Give u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3471698 litres in millilitres?\nAnswer: 347.1698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111500 + 111522. Let c = -4 - -12. Calculate the smallest common multiple of h and 24\/(-9)*(-66)\/c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1725 in -0.4, 0.3, 1\/6, -3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)*2*5)\/(sqrt(8)\/(sqrt(4) + sqrt(100))))**2 + ((4*sqrt(18)*-2)\/sqrt(6) - (sqrt(33)\/(sqrt(44)\/sqrt(4)) + sqrt(3) - -4*(sqrt(3) - sqrt(27)))**2).\nAnswer: -8*sqrt(3) + 10692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**3*w**2*z - 1053*a**3*z + 97*a**3 + a**2*z - 83*w**2*z - 843*w**2 - 2*z wrt w.\nAnswer: -6*a**3*w*z - 166*w*z - 1686*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 4*n - 11 - 1 in the form j*n + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96950*p + 434674*p + 152793*p + 711748*p.\nAnswer: 1202265*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 2840 = 5*y. Let q = y - 284. Solve q = -j + 1 + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8579 * -75.\nAnswer: -64.3425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 712292353 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = o - 21, 5*o = -6*f + 3*f + 49. Let h(u) = -u**3 + 5*u**2 + 4*u + 8. Let s be h(6). Put s, f, -5 in descending order.\nAnswer: f, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2425 + -2330 + -28 + (3 - 3)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*f + f - 94 = 0, 2*w + 3*f = 94. Suppose -5*p + 28 = -w. Solve 3 = -j, 2*j + p = -4*d - 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:59 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 78, 158, 270, 414, 590?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from utttettemttetbeeeeu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/210)\/(6\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.7440954 rounded to two dps?\nAnswer: -19.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 5*w + 0*w + 7 = 0, 17 = -v - 5*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.8 - 24.8. Let y = -19.409 - -0.309. Let z = 19 + y. What is the closest to -1\/2 in 0, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 426179.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 0.14.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 times -114363?\nAnswer: 4917609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let g(v) = 12*v. Let d(u) = 14*u. Let k(a) = 15*a. Let h(o) = 3*d(o) - 2*k(o). Let l(f) = -3*g(f) + 4*h(f). What is l(c(i))?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 2*c - 8 - 9 to d*c + i and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94207340 or 94207341?\nAnswer: 94207341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 1, -0.107, -4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 11*h**2 - 27*h + 72. Let l be q(8). Solve 19*k - 35*k - l = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/9*(-6)\/4. Suppose 575 = 223*c - 200*c. Suppose 3*x - c = -v, 2*x - 44 = -d*x + 4*v. Solve a + 18 = -5*k, -2*k = -5*a - 0*a - x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -327, 1.19149, 1\/4?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - 3.99. Let u = -2 + 2. Let z be (-15)\/10 - u\/2. Which is the biggest value? (a) -0.3 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3554, 24360, 80816, 190748, 371982, 642344, 1019660?\n\"Answer: 2971*r**3 - r**2 + 12*r + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 104*g**2. Let t(m) = 8464*m. Give b(t(q)).\nAnswer: 7450486784*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (76\/4560)\/((-2)\/(-6))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5861?\nAnswer: 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**5\/180 - 5*v**4\/24 + 2*v**3 + 14*v**2 + 3. Factor t(l).\nAnswer: (l - 12)*(l - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 8:35 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -31*d - 96*d - 91*d + 27 + 215*d. Determine g(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 27*l + 3934. Calculate q(-51).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*w - 12. Suppose -w*n - 2*d = -81 - 179, 3*n + 2*d - 193 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49244327 is divided by 134.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 9*o**2 - 11*o - 9. Let q be r(-10). Suppose -4*s - 3 = l + q, -5*s = -l - 4. Let a = -8.3 - -8. What is the smallest value in -4, s, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (12 + -31 - -12)) + (-2 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2475945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n = 4*n + 2912. Factor 95*i**2 - 111*i - n*i**3 + 59*i**2 - 38*i**2 + 3 + 84*i**2 + 15.\nAnswer: -(4*i - 3)**2*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**5 - 347*s**4 - 4273*s**3 - 12577*s**2 + 4272*s + 12924 = 0.\nAnswer: -6, -1, 1, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220221 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - u**2 + 112*u - 9. Give f(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:14 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14252*u**2 + 2955*u - 2 wrt u?\nAnswer: 28504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:08 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/420 - 3*q**5\/35 - 9*q**4\/7 - 72*q**3\/7 + 3*q**2. What is l in d(l) = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/69*1*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -459 + 762. What is the tens digit of v*(4 - (-50)\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*r = -1158 - 5322. Calculate the highest common factor of 16002 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 2288 - 4582 + 2294.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72641\/7 - 10329. Let m = y + -48. Is 1 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - c - 11 = -0, -c = 5. What is the least common multiple of 2 and (-4)\/k*54\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 1. Let g(z) = z**2 - 6*z + 4. Let i(d) = -g(d) + 4*y(d). Determine w so that i(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17635679 divided by 36.\nAnswer: -17635679\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 399907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-69)\/115)\/(18\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324608 divided by -34?\nAnswer: -162304\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -622644 or -2\/31?\nAnswer: -622644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -131. Solve -3*g + 0*g - 20 = 2*j, -5*j = 4*g + r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (44 - 1 - 10\/(-5)). Let m = q + -43. List the prime factors of 14 + (-1)\/m*0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 0 + 80 + -12. Suppose -f = 2*x - 36, 5*x - 12 - i = -f. What is the remainder when 59 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22311607.\nAnswer: 101, 220907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1820 divided by -2?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1. Suppose 2*o - 2*c = 5*o + 6, -4*c = -4*o - 8. Let y(d) be the second derivative of d**3\/6 + 7*d**2\/2 - 26*d. What is o*y(p) + 14*z(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -6 - (6 - 0 - 10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 7) to base 8.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*p = h + 4, 92 = 5*h - p. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-57820)\/(-42) - (-1)\/3?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - x + 435, 4*p + 4*x - 444 = -0*x. Calculate the greatest common factor of p and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15527498 a multiple of 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 160 + 114)*(-x + 0*x + 4*x).\nAnswer: 684*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 2223212000010?\nAnswer: 2223212000003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z. Let m(n) be the first derivative of 9*n**2\/2 + 6*n + 3. Let y(g) = 26*g + 17. Let j(o) = 17*m(o) - 6*y(o). Give l(j(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + 0.6. What is the nearest to -0.1 in -0.2, 0.1, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60231768?\nAnswer: 2, 3, 521, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + i. Let y(c) = -c**2. Let v(k) = 2*w(k) - 5*y(k). Factor v(m).\nAnswer: -m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1570 - 3120*y**2 + 1570.\nAnswer: -3120*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 69*b + 1448 = 273*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/60 and -79\/744.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -709*a**2 + 697*a**2 - 12 + 4*a - 4*a wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.1 (b) 346245 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 - 10.2. Let r = -156 - -310. Let c = r + -154.5. What is the nearest to 1\/3 in c, 2, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9790.961 kilometers?\nAnswer: 9790961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 10 = 5*s. Suppose 0 = -4*h - z + 13, -h + s = h + 2*z. Solve -m - 3*j = m + 12, h*m = -3*j - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113 * 0.5092.\nAnswer: 57.5396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163.528456 + -167.6283. Let c = 4.1 + l. Round c to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 115, 231, 347, 463, 579?\n\"Answer: 116*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 210021002 (base 3) to base 7\nAnswer: 63122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 65?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1996830 is divided by 12102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9062221 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**2*v**4 + 2*c**2*v**2 + 2*c**2*v + 2*c*v**4 - 2693*c - 2486*v**4 + 6*v**2 wrt v?\nAnswer: -96*c**2*v + 48*c*v - 59664*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 277 + 430. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -356, -25, -1, 0 in ascending order.\nAnswer: -356, -25, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, x: 5}. Give prob of picking 2 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6))**(-12) assuming r is positive.\nAnswer: r**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x - 163. What is m(13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 2*k**2 - 2*k - 9. Is o(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 147144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39b (base 14) to base 3.\nAnswer: 222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162*d**5*s + 213*d**3 - d**2*s + 8*d**2 + 3*d*s + 3*s - 1 wrt d.\nAnswer: -9720*d**2*s + 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1497238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334698, 669399, 1004100?\nAnswer: 1338801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*i = -15, -3*t + 15 = -4*i + 3. Let a(z) be the second derivative of z**3\/3 + 15*z**2\/2 + 3*z. What are the prime factors of a(t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 35486 + 60514 = 0. Round m to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 16829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206826*o**3 + 2*o - 206621*o**3 - 2*o.\nAnswer: 205*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 166268.9416.\nAnswer: -166269.3416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6 - 0. Suppose -5*u + 23 = -x. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 7*z - 7. Suppose 0 = 2*b + 2*d + 4, 0*d = 2*b - 5*d + 39. Let i(t) = 2*t**2 + 3*t - 3. Calculate b*i(p) + 3*m(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1252365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Let u be l(1). Suppose -u + 11 = 3*k. Solve m + 9 = -3*v, v - m + k = 4*m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 7*g + 1309. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71416, -71424, -71428, -71422, -71400?\n\"Answer: u**3 - 4*u**2 - 3*u - 71410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.059847 and -4.1.\nAnswer: 0.2453727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(1080))\/(((sqrt(400)\/sqrt(8))\/sqrt(5) + sqrt(10))*3))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5 + 3. Suppose 0 = w, j - 3*w - 6 + 1 = 0. Let l = 0.2 - 0. What is the second smallest value in j, l, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 7*i**2 - 8*i + 9. Suppose -68 - 18 = -5*d - t, 2*t + 15 = d. Let h = -11 + d. Let m be l(h). Sort m, 1, 2 in increasing order.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*t - 120*t = -300. What is the tens digit of 1272\/t - (4\/10)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/4170 and 157\/30.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9748 and 89871686.\nAnswer: 4874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-8)*y)\/y**10)**(1\/2))**41)**19 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10403 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**5\/60 - 3*l**4\/8 - 5*l**3\/3 - 1. Let b(t) be the third derivative of q(t). Give b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 1859*w**2\/4 + 27086*w - 10092.\nAnswer: (w - 116)**2*(8*w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 4*j + 15. What is the remainder when t(3) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 212, 484, 862, 1400, 2152?\n\"Answer: 9*a**3 - a**2 + 212*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 4*f - 2. Let i be z(3). Let b = i + 7. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 - 190*g**2 - 62*g + 102. Calculate the least common multiple of z(-63) and 2353.\nAnswer: 7059","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/7 + 274*p**2\/7 + 8662*p\/7 - 50410\/7 = 0. What is p?\nAnswer: -71, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 1645?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11824 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let c(z) = -3 - 6*z + 0*z + 3*z. Let t(q) = -1. Let y(m) = -2*c(m) + 6*t(m). Calculate s(y(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 41218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 48565058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2012 or 44495\/3?\nAnswer: 44495\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 9*d**2 + 9*d - 3. Let q be j(8). What is the biggest value in 1\/2, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*l + 2*l - 5*f, 20 = 4*l - 5*f. Suppose -3*u + 4*u - 1 = l. Let x be (2 + -8)*u\/4. Which is smaller: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -7. Which is bigger: p or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + r + 9*r)*((203 + 66*r - 203)*(-2 + 2 - 1) + (0*r - r + 3*r)*(-1 + 0 + 3)).\nAnswer: -992*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -317, -434, -551, -668, -785?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 53 - 264 = -25*o + 30*o, -2*b + 128 = -2*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 834 * -13\nAnswer: -10842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13306566, 13306573, 13306582, 13306593, 13306606, 13306621?\n\"Answer: s**2 + 4*s + 13306561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 0 - 5\/((-30)\/12). Is z <= -2\/1775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (88\/33 + 8)*(-9)\/2. Let q = x + 224. Which is smaller: 175 or q?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.4, 0.2, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f = -170*f - 2394 + 250 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, -39, -128, -283, -522, -863, -1324, -1923?\n\"Answer: -3*f**3 - 6*f**2 - 2*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 5*z - 26*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -2\/9, 4\/7 in ascending order.\nAnswer: -5, -2\/9, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/((-96)\/8))\/((-266)\/(-14))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2863 to 2 decimal places.\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w - 42. Let j = -1 - w. Solve 0*b - 4*b - 4*p = -12, 5*p + j = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3937*w + 350402. Give l(89).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -48\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 6*p**2 + 7*p - 3. Let z be y(6). Suppose 3*d - 70 = -2*d. Suppose s - z = d. Is s a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**3*m - 5*c**3 + 2*c**2*m + 4*c - 2*m + 6 wrt c?\nAnswer: 36*c*m - 30*c + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.8 + 89.8. Let b = w + -86.68. Let i = -1.8 - b. What is i rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j*u + 192*j - 1175*u wrt j?\nAnswer: u + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77628907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 g when four letters picked without replacement from {g: 5, q: 4, l: 6}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -478*n + 799. Let h be q(-31). What is h rounded to the nearest 100?\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 154389980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 81. Suppose o*w + 3*y - 17 = 0, -2*w + 4*y = -w - 8. Which is smaller: w or 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-712)\/(-728))*((-385)\/25 + 14)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0*v + 1\/60*v**5 + 0*v**4 + 0 - 2*v**2 + 0*v**3. Let q(u) = -7*u**2. Give c(q(h)).\nAnswer: 49*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -840, -847, -842, -819, -772, -695, -582?\n\"Answer: y**3 - 14*y - 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - -4. Calculate the remainder when h is divided by (-105)\/126*(10 + -22).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.25 (b) -0.4 (c) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2898*r**2 + 679*r**2 - 287*r**2)*((2 - 2*r - 2)*(3*r - 3*r + r) + 3*r**2 - 6*r + 6*r).\nAnswer: 3290*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3 + 19 = -5*p, 4*p = -3*m - 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103713450 to the nearest integer?\nAnswer: 10184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (5 - -1 - 5 - -7)) + -7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f - 6. Let o be c(4). Let i be (0 - 30)\/(-3)*7\/o. Suppose 4*g + 0*g - 2*a = 74, i*a + 77 = 4*g. Calculate the smallest common multiple of 28 and g.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 158\/7? (a) -2 (b) -0.5 (c) 377 (d) -62 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -28. Let i = -86\/3 + u. Which is bigger: -9 or i?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (400\/(-2000))\/((-9)\/(-15)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102200232 (base 4) to base 10.\nAnswer: 337966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/30*-3*-10. Let n(b) = -3 + 5 - 1. Let u(q) = -2*q - 5. Calculate w*n(j) + u(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.3335 meters in centimeters?\nAnswer: 7133.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3762 - 3762. Let q be (2\/(6\/9))\/1. Suppose -4*x + x = 3*r - 36, q*x - 26 = 2*r. Solve c = 5*p + 15 + x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -353, 18, 0.1, 2 in ascending order.\nAnswer: -353, 0.1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27283454\/7 at most 3897635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*1*3\/6. Let k = 6 + u. Suppose -5*h - k = 12. Which is the third smallest value? (a) h (b) 4\/3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001964625 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-54)*-2)\/(1225\/2940)*206\/(-8).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) + sqrt(187)*2 + sqrt(187)) - sqrt(187))*-1)\/(2*-1*sqrt(11)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1589*r**3*u**3 - 9*r**3*u*v + 2*r**3*v - 194*r**2*u**3*v + r**2*v - 48*u**3*v wrt r.\nAnswer: -9534*u**3 - 54*u*v + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 - 59*d - 113. Determine j(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5 - 1439*b**4 + 446395*b**3 + 51325919*b**2 + 1244373128*b - 1296144004 = 0?\nAnswer: -47, 1, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 579 and 420933.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 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 -0.06 times -370?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11121763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k + s, -6 = 2*k - 0*k - 2*s. What is the closest to -0.2 in -2.5, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1256*d**5 - 1373*d.\nAnswer: 25120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*x = 3011 + 3730 - 1924 + 4058 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 45*o + 6. Let x(k) = k**2 + 45*k + 5. Let b(s) = -2*g(s) + 3*x(s). Let n be b(-15). Solve -15 = -h - n*a, -3*h - 3*a = -8 - 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 13 = 31. Let n = 47631 - 47631. Let f = 19 + -13. Put f, 2, n, q in decreasing order.\nAnswer: f, q, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 3*n - 4*n - 3*n + 7*n + 0*n + (-4*n + 3*n - n)*(-4 + 2 + 0) + (0 - 1 + 4)*(-70*n + 6*n + 22*n) + (0*n + 2*n - n)*(-2 + 2 - 1).\nAnswer: -118*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + n + 2. Let h(r) = 20*r**3 - 9*r - 50. Determine -6*c(v) - h(v).\nAnswer: -8*v**3 + 3*v + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 112? (a) -0.2 (b) -13 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.720095243 and 1.\nAnswer: 10.720095243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1069*z + 12584 = 479*z + 447*z for z.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 + -6.16. Let s(x) = x**2 - 86*x + 1005. Let i be s(72). Let v = -1 + 0. Which is the second biggest value? (a) r (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/16*(4 + (-6 - 0)). What is the third biggest value in -6\/11, 4\/7, z?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-13) + (-1566)\/(-39). Suppose -4*t = -5*w - 46, 4*t - w - r = w. Let l(f) = -f**2 + 14*f - 8. Is l(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359*c**5 - 4*c**4 - 3*c**3 + 449*c**2 + 2*c + 63.\nAnswer: 21540*c**2 - 96*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 3. Let o(a) = a**2 + 19*a + 68. Let w be o(-15). Let l be f\/w*-4 - 3. Let g(q) = q + 1. Determine g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(150\/(-12))*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 50?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/4 - -2) + 357\/(-12). Let j be a\/18*(-30)\/2. Suppose j*x + 24 = 17*x. Let s(i) = i**3 + 4*i**2 + 5*i + 4. Calculate s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51476, 0, 4 in increasing order.\nAnswer: 0, 4, 51476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7659*r - 7937*r - 39478*r + 1 - 28961*r.\nAnswer: -68717*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfq when three letters picked without replacement from {q: 6, f: 3, n: 1, y: 7}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - 1. What is the least common multiple of (6 + -7 + 3)*(4 + 1) and r(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137728, -275641, -413554, -551467?\nAnswer: -689380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 27*d - 4. Let h be c(-4). Let z be h\/42*(-3)\/2. Let u(p) = p + 8. Is 4 a factor of u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 15635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.9 times 85?\nAnswer: -1266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + -5 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 150. Let p(h) = 270*h**2. Calculate x(p(l)).\nAnswer: 72900*l**4 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 48*c**2. Let y(k) = 39142*k. Calculate y(n(z)).\nAnswer: 1878816*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*b**2 - 82 + 9*b**2 + 1 wrt b?\nAnswer: -56*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21332.7449 rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1766, -1768, -1772, -1778?\n\"Answer: -p**2 + p - 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.6? (a) -5 (b) 5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16328.42119 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -61\/3 (c) -216 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let r = -22676\/5794635 + 2\/33495. Is o smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, -1, -0.1, 0.97, -7\/5, -2 in descending order.\nAnswer: 0.97, -0.1, -1, -7\/5, -2, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)*a**11)**(-7\/6) assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -945.91 + 942. Let s = 0.09 - p. Let n be (-42)\/132 + (-2)\/11. Which is the closest to n? (a) s (b) -1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 29*d = -2628. What are the prime factors of d?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.062 - -30.062. Let w = g - 29.81. Round w to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 11500?\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4*o - 5 - 5712*o**2 + 4 - o - 35705*o**2.\nAnswer: -41417*o**2 + 3*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011100111 (base 2) in base 16?\nAnswer: -4e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/48)\/(5\/16)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1192043, 4 in ascending order.\nAnswer: -1192043, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-0.1056416.\nAnswer: 0.00528208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtvprpppparptrtp. Give prob of picking 1 a, 1 t, and 1 v.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/60341376 and -21\/12056.\nAnswer: 663755136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/372 and -32\/3.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2047112 (base 10) to base 12.\nAnswer: -828808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/185639?\nAnswer: -2\/185639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 11*w. Calculate p(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -253*t - 336*t - t**2 + 683*t in the form n + l*t**2 + x*t and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7063? (a) 12 (b) 0.1 (c) 194\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001755 rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3660*-0.049.\nAnswer: -179.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 188.4981g?\nAnswer: 188498100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22*0.4\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -m + 5*t, 50*m - 20*m - 3*t = 33*m - t - 52 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 3*d + m + 44, 2*m = 2*d - 76. Let n = -705 - -10. Let g = n - -694. Which is bigger: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2639438 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(8\/7)\/(c\/c**(-2\/23)))\/(c*c*((c*(c\/c**(2\/5))\/c)\/c)\/c)**25 assuming c is positive.\nAnswer: c**(-2406\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-9))\/((-1)\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (5\/(-65) + (-620)\/52).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (119 + -131)*((-21)\/9 - -2). Solve -1 = -o*k - 0*k + f, f + 5 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 + 5*l + 5. Let o(y) be the first derivative of -y**3 + 2*y**2 + 4*y - 58. Give 6*j(r) - 7*o(r).\nAnswer: -3*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 u when three letters picked without replacement from {u: 4, a: 3, o: 3, l: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.944099 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (6*1*(sqrt(153) + (sqrt(153) - (1*sqrt(153) + sqrt(153))) + sqrt(153)))\/((sqrt(72)\/sqrt(4)*-3)\/sqrt(2)))**2.\nAnswer: 8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/19)\/(t\/(t*t**(-5\/3)*t)))\/(t\/t**(2\/21))**47 assuming t is positive.\nAnswer: t**(-17170\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/(-63))\/(210\/360).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*m = -3822, -11*m = 5*a - 10*m - 6354. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 + -1.96. Let s = o - -2.3. Let q = 6 - 6. What is the smallest value in s, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*g - 248 = 0, 4*a - 556*g + 552*g - 304 = 0. Calculate the least common multiple of 32 and a.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 23*n**5\/60 + n**4\/24 + n**2. Let j be u(-1). Let h be (56\/(-24))\/((-1)\/66). What is the highest common divisor of h and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*t + 3250 = 607*t - 1126*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 7 + 5 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, 1\/408, 10, 2\/9, 12\/7?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3664 divided by -247\nAnswer: -3664\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5. Suppose -k = a*r - 2*k - 298, -3*r + 178 = -k. Suppose -334*x = -318*x - 640. Calculate the greatest common factor of x and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 + 248. Let z be (-4395972)\/70 + -2 + l\/10. What is z rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 18 = 2*g, 7*g = 5*g - 4*i - 22. Let t be (3 - (-15)\/(-9))\/(g\/(-12)). Factor -100\/3*c**4 + 0 - 32*c**2 + t*c + 60*c**3.\nAnswer: -4*c*(c - 1)*(5*c - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -65*i - 47. Is a(-4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 + 0 + 19*r**3 - 8*r + 0*r**3 - 10*r**3 - r**2 wrt r.\nAnswer: 54*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0716619ml to litres.\nAnswer: 0.0000716619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 12. Determine d(14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -22*n**3 - 8535*n**2 + 389*n + 641. Determine d(-388).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) -669 (b) -2 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) -0.1 (c) -7\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -2*i - 4*p + 10, -i - 2*p + 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2081 + 22889\/11. Which is greater: k or -16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45014327?\nAnswer: 227, 198301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4044259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 12*p = -9*p + 25, 4*x + 3*p = 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from psbznbaa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = w. Suppose 6*p + 5*s = 4*p + 10, -15 = -w*p - 5*s. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27971220 divided by -2330935\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 1900218?\nAnswer: -1900214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 4:45 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/191541 and 15\/529018.\nAnswer: 11109378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110\/13 - 20765\/2431. Calculate the common denominator of n and 67\/4.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7126309 and -2.\nAnswer: -14252618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40787*n - 94050 = 39962*n for n.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -11. Suppose -j - 105 = -d, 4*d + 3*j = 618 - 177. Let i be ((-1)\/(d\/(-16)))\/(3\/(-18)). Is a > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 17*z**6\/360 - z**3 + 2. Let o(x) be the third derivative of h(x). Let l(j) = 2*j**2. What is l(o(q))?\nAnswer: 578*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.223599919 to five decimal places.\nAnswer: -0.2236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1188*o - 144*o - 74*o + 1789*o + 173*o as s + k*o and give k.\nAnswer: 2932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 6*k + 8. Calculate j(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 - b + 41. Is g(12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198349.23 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*i - 30051, i + 18032 = 1115*m - 1112*m. Calculate the highest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 4.47.\nAnswer: -3.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5, -4*n + 600 = -2*l - 54. Which is bigger: 2434\/15 or n?\nAnswer: 2434\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 1 + 2 + -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44\/261293 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -180 - -173. Let w be k\/(-35) - 2\/10. What is the smallest value in 3, -0.3, w, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 - 59. Calculate the highest common divisor of 38 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*289.\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41180363.\nAnswer: 7, 167, 35227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.342743 to 0 decimal places.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.84 and 0.1?\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37308*c*j**3 - c*j**2 + 2*c*j - 19149866*c with respect to j.\nAnswer: 111924*c*j**2 - 2*c*j + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0\/(-2) - (-6)\/18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -845 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -45. Which is the nearest to 0.1? (a) u (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 10 = 2*j, -z - 3*j - 25 = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 36 = 3*k, -g - k = 2*k - 24. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43.987 - 41259.\nAnswer: -41302.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501*f = 1006*f - 1515. Solve -3*h = -f*u - 3, -21*h + 2*u = -18*h - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k. Let z(w) = -25509411*w. Give f(z(s)).\nAnswer: 51018822*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 55, 83, 113, 145, 179, 215?\n\"Answer: h**2 + 23*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:22 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1088) + -1)**2.\nAnswer: -80*sqrt(17) + 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -40. Let t = -0.1 - -9.1. Let f = b - t. Which is bigger: f or 0.02?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 at least as big as -1765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j + 7. Let d(u) = 2*u - 3. Let v be -1 + 1 + (-6)\/2. Let k(g) = v*c(g) - 7*d(g). Let s(t) = -6*t**2. Determine k(s(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -23. Let g be -3 + 4 + 3\/b. Let t = 26\/3 + -8. What is the nearest to -1 in g, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(171\/1710)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (204 + -207)*1\/15. What is the fourth biggest value in j, 1.4, -1, -11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87209496 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15838.68 take away -303569?\nAnswer: 319407.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 374462599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.88 + -5. Let i = 0.62 + j. Let r be (5 - 4) + 2\/5. Put r, -1\/4, i in descending order.\nAnswer: r, i, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -264*q + 13034. What is the remainder when 642 is divided by z(49)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r - 17. What is o(-5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 - 386*y**2\/3 - 504*y.\nAnswer: -2*y*(y + 4)*(y + 189)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488, 706, 938, 1190, 1468, 1778, 2126?\nAnswer: 2518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 149168 at most 447500\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 + 27*s**2 - 18*s - 44. Let m(c) = -2*c**3 + 18*c**2 - 12*c - 29. Let j(f) = 8*m(f) - 5*o(f). Let q be j(8). Solve -3*w + 7*w - q = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/15)*x)\/((x**(-1\/8)*x)\/x*x)*(x*x*x*(x*x**(15\/2))\/x*x)\/x*(x**(1\/18)\/x)\/x assuming x is positive.\nAnswer: x**(3437\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5\/150*10)\/(4\/(-18))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/528*((-27)\/(-18))\/((-4)\/((-96)\/(-27))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528803 rounded to the nearest one thousand?\nAnswer: 529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1172.4 - 1172.9. Put 0.4, -2\/9, 1772, y in descending order.\nAnswer: 1772, 0.4, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29468 - -48582. List the prime factors of l.\nAnswer: 2, 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 plus 19518081318?\nAnswer: 19518081344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(176)*-1*3 - sqrt(176)) + -5)*6)**2.\nAnswer: 5376*sqrt(11) + 102160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -w - 176 + 187, -4*w + j = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 2*c**3\/39 - 17*c**2\/13 + 32*c\/13 + 206. Determine n, given that j(n) = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 7*i**2 + 9*i - 13. Let h(l) = l - 3 + 3 - 1. Let m(v) = -5*h(v) + w(v). Suppose -89 + 17 = 12*u. Give m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8784\/18018 + 48\/(-104).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - d**2 + 0*d**2 - 323.\nAnswer: -d**2 - 323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -833 divided by -17.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.243 - -1.18. Let j = o + 0.233. Let b = 0.23 + j. Sort -4\/9, 37, b.\nAnswer: -4\/9, b, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1722 divided by 20.\nAnswer: 861\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/70)\/((-140)\/(-350))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -123?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(100)\/sqrt(5)*2)\/sqrt(4)*-1 + 4 + -1.\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(105\/157969))\/(2\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-15)*i**3*i**(-10)\/i assuming i is positive.\nAnswer: i**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1069134 and 79196911.\nAnswer: 16199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9664000 rounded to the nearest one hundred thousand?\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*x**2 - 188*x**2 + 386*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4238 (base 11) in base 16?\nAnswer: -15e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 388*i + 67*i + 248*i + 4*i**2 - 20*i**2.\nAnswer: -16*i**2 + 703*i + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -z - 0*z. Let j(c) = c**3 + 3*c**2 - c - 3. Let i be j(-3). Suppose i = -4*h + 3*h + 16. Calculate the greatest common divisor of z and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (438\/9*(-33)\/44)\/(-10*(-20)\/100)\nAnswer: -73\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-990)*-11)\/2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -27, 1, -1, 0 in ascending order.\nAnswer: -27, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9612.1968 from -0.2.\nAnswer: 9611.9968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*w - 55 = -4*c, -w = 5*c - 43. Calculate the remainder when 165 is divided by -6 - (56\/c - 41).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0501 days in nanoseconds?\nAnswer: 436328640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 - 13*s)*(3 + 2*s - 3) to the form z*s + q*s**2 + g and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:35 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 15 (c) 4.13 (d) 0.75 (e) -0.7 (f) 1 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 354 + -41?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.055827 millimeters in kilometers?\nAnswer: 0.000008055827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4043659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194562373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 303084186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1.8, -4, -3, -0.5, -5, -55, -3245?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 450300 to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 18364 = -4*g, 16*g + 13*r - 9*r = 73520. What is the remainder when g is divided by 177?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 335 - 231. Suppose -18*k = -16*k - u. Let h = -49 + k. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 230*y - 1580 - 1870 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:41 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 0 + 0 + -1. Let t = o + 6. Let s(a) = -8*a**2 + 7*a - 7. Let j(l) = -8 + 6*l + 6 - 4 - 7*l**2. Give t*j(b) - 6*s(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:28 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/30 (b) 0.1 (c) -3\/64 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(-2\/13)*o))\/o**(1\/4)*o**3\/o**(1\/4) assuming o is positive.\nAnswer: o**(95\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*12.54\nAnswer: -5.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5684*v + 35031?\nAnswer: -5684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + m)*(-m**2 - 3*m**2 + 2*m**2) - 5*m**3 + m + 3 - 3.\nAnswer: -7*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3*d**5 + 3 + (-5*d**2 + 5*d**2 + 2*d**2)*(-2*d**3 - d**3 + 0*d**3) + (2*d**3 - 3*d**3 + 0*d**3)*(-2*d**2 + 2*d**2 - d**2).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13991.945 + 505?\nAnswer: 14496.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 425478*g\/5.\nAnswer: -g*(g + 425478)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 - 3*n**2 + 31. Let h(q) = 5*q**3 + 4*q**2 - 32. Determine -3*h(g) - 4*p(g).\nAnswer: g**3 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/3*6\/4. Let a(p) = -3379998*p - 50 + 23 + 17. Let f be a(q). What is f rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2376 by 198.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 325, 1, -5, -1, 5, -39 in descending order.\nAnswer: 325, 46, 5, 1, -1, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -125*y + 34. Let d(i) = 61*i - 17. Calculate 7*d(u) + 4*f(u).\nAnswer: -73*u + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4613477813 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-18)\/24))\/(((-120)\/405)\/4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 980880 and 3.\nAnswer: 980880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-21924)\/32)\/21)\/(417*3\/(-12)) and 21\/4?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13432\/3 - -4545. Let t = -67 + y. Which is the smallest value? (a) t (b) -2\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 195\/10)*(-14 + (-1848)\/(-140))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3539655 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (72\/3)\/((-28)\/(-4438))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1874*j**3*t**4 + j**3*t**2 - j**3 - 311*t**2 wrt t?\nAnswer: -44976*j**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 4. Let t(q) be the first derivative of -5*q**2\/2 - 4*q - 600. Determine -4*f(x) - 5*t(x).\nAnswer: 5*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0616 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 + 146. Let m(i) = 3*i**3 - 4*i**2 + 4*i. Let b(t) = 7*t**3 - 9*t**2 + 9*t - 1. Calculate g*b(l) - 9*m(l).\nAnswer: l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4255840 divided by -160\nAnswer: 26599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + 7)*(-5)\/(-2). Let t be (-1 + -1)*(-2)\/(-2). Let k be (-6)\/((-6)\/16*t). Sort j, -4, k in descending order.\nAnswer: -4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (-36 - (-57 + 29 - 1))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - h**3 + 1 + h**3 - 2*h**3 - h**3 + (-h**2 + 3*h**2 - h**2)*(-2*h + 3*h + 0*h) - 8*h**3 + 8*h**2 - 8*h**2.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/11, 3343, -25, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*x, -173*b + 169*b = -4*x + 272. Is -36 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(42\/(-20)) - (-4 - 0). What is the fourth biggest value in 1\/8, v, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/210 and -62\/595.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003973.\nAnswer: 23, 43651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 11*i**2 + 2*i - 4. Let w be h(11). Suppose w = f + 12. Calculate the remainder when 7 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 75. Sort t, -3, -12 in ascending order.\nAnswer: -12, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 261 and 8?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 8. Let l = -4 + a. Put 3, l, 2\/9 in increasing order.\nAnswer: l, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 + 2*f - 1. Let l(d) = d**2 - 5*d + 3. Let r be l(6). Let k = 4 - r. Let t = -4 - k. Calculate u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (243\/1350)\/(63\/299460*46)?\nAnswer: 93\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 1 + 12\/(-2). Let m be 2\/(-30)*t*-2. Which is the second biggest value? (a) m (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -n - 0*n, -3*n = 5*k + 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 274*v**2 - 2*v - 1. Let z be w(-1). Suppose 340 = 3*q - z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1649559 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 26*h + 2316. What is j(-89)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 344.8851nm?\nAnswer: 0.3448851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*x - 22. Solve -y + 0*y = x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) + 3\/4. Let p(g) = -g**2 - 1 + l. Let x(b) = -2*b**2 - 19*b + 19*b - b**2. What is p(x(y))?\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0092, 2\/7, 0.5, 0.01?\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 401292 and 23037228?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629769890.\nAnswer: 2, 5, 62976989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 140742.4 years?\nAnswer: 14074.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73380 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 25*y**2 + 5*y - 664. Let f(s) = -9*s**2 - 2*s + 221. Calculate -8*f(l) - 3*n(l).\nAnswer: -3*l**2 + l + 224","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417, 110, -197, -504, -811?\nAnswer: -1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 + 8*j**2 - 4. Let a(h) = h**3 + h**2 + 1. Let o(n) = 3*a(n) - v(n). Give o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w + 6*w + 8*w + 3*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*d + 444 = -4*a, -4*a + 1776 = -3*d. Suppose 8*v = 10*v - a. Suppose 4*s = -y + v, 3*y = 4*s + 585 + 145. What are the prime factors of y?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6*21\/(-2). Let a be (4\/z)\/(-1 + (-3 - -5)). Let i = -0.3 + 0.5. Put i, -1, a in descending order.\nAnswer: a, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 9. Suppose -681 - 799 = 20*a. Let b = a + 81. Give s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*f + 274 = 45*f - 62 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -12*b - 88. Calculate f(-23).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 175*c - 4586. Let o be v(26). What is the closest to o in 23, 2\/7, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 374 - 38. Suppose -d + y = r, -4*y - 19 + 3 = 0. What is the tens digit of d\/(-6) - 8\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355321 is divided by 3847?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 5.1, -0.09 in descending order.\nAnswer: 5.1, -0.09, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 z when four letters picked without replacement from zzazza?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*v - 50 - 255 = -133*v - 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -20. Let z = 6 + h. Let g = 2 - 2.2. Which is the biggest value? (a) -4 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 + -5.81. Let a = s + 9. Does 0.1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2804 = -4*l - 5*q + 187, q - 2246 = -3*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(609\/(-45)) - ((-2860)\/(-580) + -5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2. Let w(v) = 10*v**2 - 6*v. Let l(b) = b**2 - b. Let n(f) = -30*l(f) + 5*w(f). Calculate n(h(p)).\nAnswer: 80*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -5*q**7\/21 + 17*q**5\/20 - 305*q**4\/12 - 11*q - 6. What is the third derivative of a(o) wrt o?\nAnswer: -600*o**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x + 5. Suppose 3*m + 628 = 7*m. Let u be ((-102)\/(-4))\/(29\/174). Let j = u - m. Let i(z) = -14*z + 14. Give j*i(v) + 11*o(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -336*n - 4242. Determine k(-13).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29, -50, -65, -68, -53?\n\"Answer: c**3 - 3*c**2 - 19*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, 14.\nAnswer: -3, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316030213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 30*r + 1004*r + 289*r - 64*r in the form b*r + i and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 307154709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjhj when four letters picked without replacement from jhhjjjhhhj?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n + 17 = -4*n - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5240 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 0.38, -0.2, -4?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07957 and -114780?\nAnswer: 9133.0446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -27, 12, 119, 318, 633, 1088?\n\"Answer: 4*l**3 - 2*l**2 - 27*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -83 - (-6 - (0 - 3))) + 2184 + -2188\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6500\/120)\/65)\/(2\/6).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*o + 9 = -167*o. Suppose 62 = 2*n + r, o*n + 3*r - 86 = -2*r. Calculate the remainder when 74 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -10*a**3 - 6*a + 6. Suppose 5*f = 3*y + 128, -2*f - 2*f + 101 = -y. Let l(g) = -40*g**3 - 25*g + 25. Give f*p(j) - 6*l(j).\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(13\/3)\/o)\/(o**(-38)\/o))**(-2\/31) assuming o is positive.\nAnswer: o**(-260\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12))**(3\/25)*(z**(-13\/2)\/z)\/z**(-2\/7) assuming z is positive.\nAnswer: z**(-3029\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 377 and -1.\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 30\/7*t**2 - 2\/7*t**4 + 2*t**3 + 18\/7*t.\nAnswer: -2*t*(t - 3)**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from gggggpppgp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 7*v**2 - 7*v + 7. Let j be x(-6). Suppose 5 = q - y, -5*y + 4*y = q - j. What is the remainder when 17 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0985 - -4?\nAnswer: 2.9015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**3\/3 + z**2\/2 + 2*z - 2. Let l be i(-2). What is the third derivative of 6*y - 6*y - y**2 + l*y**4 wrt y?\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 4*s - 35 = 0. Let k = 230 + -153. Calculate the greatest common factor of k and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -39, 2\/5, -0.14, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -793?\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173978 divided by -1557?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -62. Is 1 + 87 + o + 7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 5*a**2 + 3*a - 11. Give z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 560 + -256. Let i = w - -181. Suppose 2*b = x - 0*b - i, -1449 = -3*x + 3*b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-2*sqrt(160)).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.999991459 + -16. Round d to seven dps.\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -204*r - 259. Let o be q(-12). What is the greatest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4969*k - 4971*k = -12 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/720 - b**5\/60 - 29*b**4\/24 - 24*b**2. Let o(p) be the second derivative of m(p). Give o(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 78*n - 202. Let l be h(42). Solve 9*g + l - 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-50816)\/192)\/(6\/(-99))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -3, 0.1, 1\/4, -12233, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00496 rounded to 4 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.16*1.\nAnswer: -5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 s when four letters picked without replacement from ussussusssuuss.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 4*w**2 - 8*w + 4. Suppose 8 - 56 = -4*h. Suppose -13 = -5*b + h. Calculate k(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + -2*sqrt(28)\/sqrt(4))**2 + 5 - ((1*(sqrt(7) + -2*sqrt(7)) - (-1*sqrt(49)\/sqrt(7))**2) + 0).\nAnswer: 17*sqrt(7) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 6 = 7*j. Let z be 0\/(-1) + 0 + j. Suppose 0*t - 24 = -4*b + 2*t, -2*b = -z*t - 12. What is the remainder when 9 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.626 * 0.033.\nAnswer: 0.185658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293 plus 64552254?\nAnswer: 64553547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-6) - 8\/(-24). Let t = 128 - n. Suppose g = 4*g + 3*f - 84, 0 = -5*g - 2*f + t. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 213 + -132. Let k = h + -78. Which is the second biggest value? (a) 11 (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -8305738396092?\nAnswer: 8305738396088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + 0.8. Let n = -1892 - -1897. Put w, 0, n, -5 in descending order.\nAnswer: n, 0, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1772022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14534.6900502142 - -14534.588. Let i = -193.8979869858 + n. Let q = i - -194. Round q to 6 decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -664 and -0.4.\nAnswer: 265.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1022\/98 - 4\/(-7). Let h be 4\/6 - 14\/3. Let f = t + h. Calculate the lowest common multiple of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11668.5 - 11669. Let u = -20 + 37\/2. Sort i, 3\/5, u, 0.\nAnswer: u, i, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7915 times 0.2\nAnswer: 0.1583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 123. Let c = l + -26. Solve -5 = -2*h - v, h - 2*v - v + c = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -6*g**4 - 50*g**3 - 392*g**2\/3 - 344*g\/3 - 32 = 0.\nAnswer: -4, -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - -6507*(-18)\/19509) + 0. Let d = h - -580975\/598276. Calculate the common denominator of d and -81\/10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 - 32. Suppose -3 + s = 4*v. Suppose v = z + z. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-4))\/(2\/8). Let a(j) = p*j**2 - j**2 + 4*j**2 - 3*j**2. Let x(i) = -i. Determine a(x(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*-11.9\nAnswer: 35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53036588 divided by -26518294?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 827692904 to the power of 1\/2, to the nearest integer?\nAnswer: 28770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {v: 1, n: 7, y: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2220 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 15. Suppose -3*x - y = -6*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 10297?\nAnswer: -10297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*f + d, -4*f + 0*d - d + 46 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -533500 divided by -7?\nAnswer: 533500\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + (-8 - (-5 - 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - -101. Let x be d\/14 + (-2)\/(-7). Let o(w) = w + 5. What is the units digit of o(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72*c + 21*c + 27*c - 65*c)*(2 + 3 - 4) in the form x*c + g and give x.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-30)\/(-40)*1*40\/(-340)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/2))**(-43))**(-16\/11))**(-6\/13) assuming d is positive.\nAnswer: d**(2064\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (134\/1407 - (-3236)\/(-462)*1) + 6.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31190 - -31189.99974524. Round k to 6 decimal places.\nAnswer: -0.000255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 143 = 3*f, 2*x + 4*f - 524 = -2*x. What is the remainder when x is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*n**2 - 174*n**2 + 10*n**3 - 34*n**3 + 16*n**3 + 18*n**3 + 3 in the form x*n**2 + y*n**3 + c + j*n and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77.6919 and 0.3.\nAnswer: -23.30757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3809643 less than or equal to -3809642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31065 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11dbba (base 15) in base 9?\nAnswer: 1544834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1835651726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 172*z - 171*z + o, 0 = -2*z - o + 8 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3) + 3 + 0 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1441 (base 5) to base 8\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 5, -45, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 1293381?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 61 = -7. Suppose 4*f - 81 - 19 = -4*w, -4*w = 4. What is the remainder when (3\/2)\/(1\/h) is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4959)\/(-21) + (-3)\/21. Let u(h) = -237 - h**2 - 8*h**3 + n + 2*h**2. Determine u(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*((-1309)\/(-306) - (-2)\/9). Is c <= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305842 - 587216609\/1920. Find the common denominator of 71\/90 and o.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 19*q + 4. Suppose 0 = -5*s + 5*z, -4*z = 5*s - 23 + 5. Suppose -i = -4*o - 15 - 10, -s*i + 43 = -o. What is the remainder when j(4) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 156, 435, 888, 1551, 2460, 3651, 5160?\n\"Answer: 6*u**3 + 33*u**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcf when three letters picked without replacement from czjjzcjjfjjj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 739909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or 10140402?\nAnswer: 10140402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q + 1279*q**2 + 1283*q**2 - 3840*q**2 - 59*q**3 + 1276*q**2 to the form z*q**3 + i*q + r + l*q**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**2 + 27*h - 7. Is z(-6) 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 3:37 PM and 1:57 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 995281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045914911 to 6 decimal places.\nAnswer: -0.000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(102\/30)*195\/25.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 175303 + -153740747\/877. Let o = -25001\/23679 + d. Let j = -24477\/2 + 183521\/15. Find the common denominator of j and o.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*a + 7 - 0, -12 = -3*a - 3*l. Suppose -22 - 3 = -a*n. Let c be (-12)\/(-20) + 27\/5. Solve n*x + 5*j - 10 = 0, 0 = 5*x + 3*j - c + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -11. Let c = 14 - v. Solve k + 10 = l, 0 = c*k + 13 + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5522 and 264.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 146\/(-9) - (-2)\/9. Let v = 162 - 175. Let j = c + v. Round j to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 424178 and 262.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*d - 1 + 54*d + 3*d - 23*d to the form u + g*d and give g.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.3, 5, -0.1, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-7 - -10 - (4 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 191 = -821. What is the greatest common factor of 105 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28119\/16068)\/(-2 + (-611)\/(-8)).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t + 12. Let j(v) = -96 + 259 - 84 - 94 + 20*v. Let s(c) = -2*j(c) - 3*x(c). Let y(z) = 8*z - 2. Determine -3*s(f) + 8*y(f).\nAnswer: -5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + 0 + -4.\nAnswer: -4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -15\/4 (b) 0.0204 (c) 0.6 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by 241.\nAnswer: 116\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*p + 8, -5*p + 2*p - 2*i = 7. Let n be (-2)\/(p + 15\/14). Let m be 40\/6*(-21)\/n. Solve 12 = -m*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 1. Let i(g) = -87 - 93 + 5*g + 166. Let b(a) = -i(a) - 6*r(a). Does 3 divide b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 487613808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 18. Suppose 10*y = 14*y - 68. Let h be t(y). Which is smaller: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -3, -1, 4461 in descending order.\nAnswer: 4461, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 4*v + 2*v + (1 + v - 1)*(6 + 11 + 4) + (-3*v + 3*v - v)*(-2 + 1 + 3) + 0*v - v + 2*v)*(2 - 2 + 2*v).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2. Let r(u) = -u - 28. Calculate r(h(t)).\nAnswer: t**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13282012 to the nearest integer?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 + 3 - 1 + 3*g**2 - 104*g + 99*g. What is h(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o = -4 - 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a*a**17)\/a*((a*a*a**(-17\/6)*a)\/a)\/a assuming a is positive.\nAnswer: a**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-864)\/(-1512))\/(12\/14)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 9, 12.58, 142?\nAnswer: 12.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1476473 is divided by 409?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.2, 1\/13, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.1 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 32\/3*y**3 + 24*y - 109 + 26*y**2 + y**4. Factor g(n).\nAnswer: 4*(n + 1)**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.5 + -21. Let n = -1 + -4. What is the nearest to 1\/4 in w, n, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (2 - 11) + 2 + 19?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 17) + 21\/(-7). Let b be 1\/((i\/(-12))\/5). What is the greatest common divisor of b and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -812.191 - -812.9. Round v to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 42. Let r be (-40)\/(-14) - d\/(-28). Let p(k) = k**2 - 7*k - 6. Let s be p(8). Which is bigger: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -350 - -219. Let l = r - -247. Let w = l + 1. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3062601 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (sqrt(63) - (sqrt(441)*2)\/sqrt(7)))\/((sqrt(432)\/sqrt(12))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((1*sqrt(252) + sqrt(252) - sqrt(252))\/sqrt(12))\/((sqrt(7) - (1*sqrt(448) - sqrt(448))) + sqrt(7)) - (-5 + (-2 + sqrt(108) + 2)*-2))**2.\nAnswer: 225*sqrt(3) + 2199\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148945 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**5)\/j**(-3\/2))\/(j**(-2\/13)\/j**(1\/2)))**(-2\/15) assuming j is positive.\nAnswer: j**(-212\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 398?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*t = -18, -4*t + 12 = -0. Suppose 0 = 2*k + 2*g - u*g - 2574, 2*k - 2579 = 5*g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2627 - -2686. Solve a - 59 = -u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65433.55 grams to tonnes.\nAnswer: 0.06543355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:05 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 2*u**5\/95 - 2*u**4\/19 + 2*u**3\/19 - 1536. What is c in v(c) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392330160 and 480?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78004368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 10*v = -24. Let o = 13 - v. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.57631323 to 1 decimal place.\nAnswer: 41.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4\/3 - 21*v**3\/2 - 41*v**2\/3 + 21*v\/2 + 15 = 0 for v.\nAnswer: -6, -15\/8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -118345 less than -108122048?\nAnswer: -108003703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 2 = 4. Let n be (-2)\/(-2 + (-9)\/(-6)). Is (3 + (-1929)\/12)\/(d\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -13607.\nAnswer: 68035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 20 = 3*i. Let q(p) = i*p + 11*p - 19*p. Let x(u) = 5049 - 5049 - 9*u. Determine x(q(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1302 and 61\/12?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/9 (b) 1\/6 (c) -0.307 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:04 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g - 226 + 718 = -22*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*d**2*s - d**2 + 56*d*s + 21553*d - 1316*s + 162 with respect to s.\nAnswer: -71*d**2 + 56*d - 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Suppose s*p + 3*t = 8, -2*t - 2*t - 2 = -p. Suppose 2*n - 4 + p = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-6) - 104\/48. Is (0\/g)\/4 - -119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*s - 411, 5*w - s = -2*s + 403. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7214423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 771 = -45. Let s(a) = -2*a + 4. Let d be s(2). Suppose 5*o - 116 + 31 = d. Calculate the greatest common factor of o and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055 take away 6297?\nAnswer: -6296.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from aadvddvd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1708 - -4593. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 748*r - 254065 = -3417*r for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)\/((g**8\/g)\/g)*(g\/(g**(3\/7)*g))\/g**11)**18)**(33\/5) assuming g is positive.\nAnswer: g**(-80784\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhhhhhyxtxytytthyx. What is prob of sequence yyx?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 401, 918, 1645, 2582, 3729?\nAnswer: 5086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + 1 + 5.\nAnswer: 6 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 108 + 436*a - 58 - 52 as x + b*a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let c(b) = -b + 5. Let q be ((-25)\/5 - -95)\/((-3)\/2). Let i(d) = -75*d + 300. Let k(z) = q*c(z) + i(z). Determine k(t(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19849.7541 take away -4?\nAnswer: -19845.7541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugbooobqub. Give prob of sequence qu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -1 + 6, -y - 8 = -3*t. Suppose -3*v + 36 = 2*k, 0 = t*k - k + v - 36. Calculate the greatest common factor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8498274?\nAnswer: 2, 3, 71, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - 0.02. Let k = 0.69 - n. Let p = 59\/15 + -18\/5. Is p bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpahu. Give prob of sequence hpu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 != -292\/677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12.3*1.67\nAnswer: 20.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 4*k**3 + 0*k**3)*(-4 + 2 - 1) + 5*k**3 + 0*k**3 - 4*k**3 + k**3 + k**3 - 4*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -315077409*j. Let a(t) = -3*t. What is a(g(k))?\nAnswer: 945232227*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 334.663g?\nAnswer: 334663000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 12 - 2 + 19*y - 14*y. Let r(v) = -2*v - 5. Let t(i) = 3*o(i) + 7*r(i). Determine t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/(-8)*60\/(-84)*39. Let g = 6743\/28 + p. Calculate the common denominator of g and 17\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + a**2 + 4*a - 1. Let t(j) = -4*j**3 - 16*j**2 + 153*j - 228. Let p(g) = -15*s(g) + 5*t(g). Factor p(k).\nAnswer: -5*(k - 3)**2*(k + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/3 + 1\/3*m**4 + 6*m**2 + 8\/3*m**3 + 16\/3*m = 0. Calculate m.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7437718404 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 - 11) + 1 - -8 - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3\/4, 0.1, -1360, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92460210 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -20. Suppose 400 = i*d - 0*d. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3 - 4 - 3 + d. Let a be s(4). Solve 0 = -4*x - a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363 (base 7) to base 13.\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18087?\nAnswer: 3, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3 + 5. Let n(s) = -2*s - s - 2 - 15*s + 17*s. What is n(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 = -2*b, r - b = -5*b. Suppose 3*k - 30 = -4*j, -41 = -r*k - j - 4*j. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3700 is divided by 103?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1680, -5232, -11130, -19380, -29988, -42960, -58302, -76020?\nAnswer: -96120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 5. Let g(q) be the first derivative of -5*q**2 + 14*q - 2140. Calculate -3*g(y) + 8*h(y).\nAnswer: 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -130, -380, -866, -1666, -2858?\nAnswer: -4520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 983, 1961, 2939, 3917?\n\"Answer: 978*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 at most 578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 667 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 160626512*r + 218533977 wrt r.\nAnswer: 160626512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = 32*k + 5*s + 20, 0 = -3*k + s - 4. Let r be -1 - (11\/9)\/(-1). Which is the nearest to -0.1? (a) r (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -53. Let a(x) = x**3 + 5*x**2 + 6*x + 4. Let b be a(z). Let p(w) = -19*w - 17. What are the prime factors of p(b)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1444 + 148727\/103. Let u = 377\/721 - b. Factor u*d - 8\/7 - 4\/7*d**3 + 8\/7*d**2.\nAnswer: -4*(d - 2)*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k**2 - 6 + 6 + (2*k - 5*k + 2*k)*(2*k + 0 + 0) - 5*k**2 + 4*k**2 - 3*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39204 divided by 19602?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1819161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 28*a + 63. Let w be g(30). Let j(d) = d**3 - 4*d**2. Give j(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -55. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -25*n - 1 + 34*n - n**3 - 3 - 8*n**2 - 1. What is p(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-20) + (-3)\/15. Solve p*u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302859 divided by 2?\nAnswer: 302859\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2. Let t(v) be the second derivative of 14*v**4\/3 + 21*v. Calculate n(t(a)).\nAnswer: -3136*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -5)\/(-3 - (-14)\/4). Let m = n - 20. What is the units digit of -3*m\/(-9) + 5*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1403901735?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -3*k + 66. Let f = 26634 + -187001\/7. Let h = f + k. Which is the biggest value? (a) -5 (b) 1\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1712636 to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 71?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/15 and 13\/225509910.\nAnswer: 225509910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - -10)*((-19)\/(-4) + -2). Let g(y) = y**2 + 14*y + 19. Let r be g(f). Which is greater: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 5, p: 2, l: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/63 - -53\/315. Let d be 0*(2 - 1) - 2. Let r be (5\/5)\/(19\/d). What is the smallest value in o, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (280\/49 - 5). What is the biggest value in 0.1, -2, 12, h?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.35, 1\/2, 1\/3, -23, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 408.\nAnswer: -28.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20012442 - -4012?\nAnswer: 20022004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 13642302*v - 15509366988267.\nAnswer: -3*(v + 2273717)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**5\/30 + i**4\/3 - 22*i**3\/9 + 4*i**2 + 3003. Solve x(m) = 0.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29997*f - 29973*f = -240 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 6:16 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*32\/(-24) - 2. Is 5 a factor of (0\/(-5) - 1) + 353 + q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 45*i - 43*i + 2, -2*f + 3 = -3*i. Let o be 97\/97 - (0 + i). Suppose 0 = -c + 4*c - 12. Solve 3*q = -12, o + c = -2*k + q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1072, -1445, -1800, -2125, -2408, -2637?\nAnswer: -2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -12)\/(8 - 10). Suppose -108 = -v*m + 2*m. Suppose -2*p + m = 3*n - 1, 3*n = 12. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/(-312) - 9\/(-8))*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012 (base 4) to base 16.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-3 - -2) + 1. Suppose u*i - 30 = 2*m, -i = 3*i - 2*m - 70. Suppose 2*c + 2*c = i. Solve -7 + 17 = c*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-189)\/12*(-11)\/33. What is the nearest to 1 in 2\/3, 3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*q - 39 + 19 + 20.\nAnswer: -505*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than -4\/422689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*i - 242, 2*m - m - 2*i - 56 = 0. What is the remainder when m is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5 - 3 - 5*f**3 - 12*f + 3*f + f**2 + 9*f**2. Let c be q(8). Round c to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (7 - (10 - 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + 56 - (1 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 6*w**2 + 2*w)*(-2*w - w + w)*(2440*w - 51*w**2 - 2440*w).\nAnswer: 612*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23930, 23352, 22774?\nAnswer: 22196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -15. Let c(r) = 6 - 3*r + 12 + r + 3*r. Let l be c(-13). Solve -6*k + 5*j - s = -3*k, 0 = l*j - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -335, 4\/9, -2181?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)*o)**(1\/4))**50 assuming o is positive.\nAnswer: o**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36452231839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833605 - -504.\nAnswer: 834109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j + 82. Suppose 2*d = -4 - 16. Let m be i(d). Solve 0 = -l + o + 2*o - m, 3*o = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3255, 13535, 30841, 55173, 86531, 124915, 170325?\n\"Answer: 3513*o**2 - 259*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = 3*q - 5*v, q - 3*v = 138 - 44. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5019, -7003, -8985, -10965, -12943, -14919, -16893?\n\"Answer: b**2 - 1987*b - 3033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o + 5. Let z(f) = -2 - 6 + 0 + 7. Let s(m) = -m - 3. Let c be s(-2). Let u(x) = c*k(x) - 5*z(x). Let t(j) = 4*j. Calculate t(u(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*n + 8 = 0, 5*u + 79 = -2*n + 60 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 597036\nAnswer: 61\/597036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 5, -4 in descending order.\nAnswer: 5, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -527760.7 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + j - 27 = 0, 5*s + 0*s - j = 33. Let i(c) = c**3 + 22*c**2 + 19*c - 24. Let h be i(-21). What is the greatest common factor of s and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 28 = 5*u - 8, 4*c - 4 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/15)\/((-4)\/6) - 9971\/(-845)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2162, 1260, 338, -604, -1566, -2548?\n\"Answer: -10*k**2 - 872*k + 3044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12*(-5 + 3)*(-2)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60.9886 and 2.7.\nAnswer: 164.66922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v + 3*k - 165, -3*v + 4*k = -165. Let f = 77 - v. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b + 3*b - 5*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 4*c - 4*c - 10*c**2 + c**2 - c**2 + (2*c + 9 - 9)*(3*c - c + c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-53)\/(-4) + 2\/(-8). Suppose y = r + k + 1, -k = 2. Suppose -2 = 2*t + j, -2*t - 3*j + 8*j = r. Which is bigger: -2\/3 or t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.118347 and 0.001.\nAnswer: -0.117347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5984443?\nAnswer: 269, 22247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2 (c) 3453 (d) 4 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 21*i**2 + 90*i + 858. Let h be j(-9). Calculate the highest common factor of h and 2703.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.051 - 26.\nAnswer: -26.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 2*u = 814 - 782 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9038 + 252985\/28. Let o = j + 18\/7. Which is the second biggest value? (a) o (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 + 27*r**2 + 28*r + 200. Let a be x(-13). Let h(y) be the second derivative of y**5\/20 - y**4\/3 - y**3 - 9*y. Determine h(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 97994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4464108\/25 or -178565?\nAnswer: -4464108\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/9 + 18538*m\/3 - 85914361.\nAnswer: -(m - 27807)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/8009849 and -55\/2232253?\nAnswer: 136167433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4)*m)\/m*m*m**(-1\/3)*m**(2\/23)*m*(m\/m**4)\/m)\/((((m\/m**(1\/4)*m)\/m)\/m**6)\/(m**(-2\/7))**(1\/3)) assuming m is positive.\nAnswer: m**(-59\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*s + 1 - 16*s - 1 - 2*s**3.\nAnswer: -2*s**3 + 46*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 218216 = -4*i, 3*k + 5*i + 218219 = -k. Let z = 1963711\/36 + k. Calculate the common denominator of -33\/28 and z.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -5 - -6) + 0 + 244 + -278\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -267606.4028 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 + 5*z**2 + 13*z + 5. Let u(d) = 4*d**3 + 6*d**2 + 14*d + 6. Determine -6*g(a) + 5*u(a).\nAnswer: 2*a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 5*k, -5*n = 3*k - 6*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - 51) + -1 + -7 - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {h: 1, x: 1, j: 5, l: 1, s: 2, g: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 1. Let j be 6\/(-2)*(7\/(-21) - -1). Let o(b) = 2*b**3 - 3*b**2 - 3. Determine j*o(u) + 6*m(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/60 + o**5\/10 + o**4\/12 - o**3 - 323*o**2. Find p, given that n(p) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -d. Let n(z) = -z**3 - 2*z**2 + z + 1. Give n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 24774.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11))*-3.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*z)*(2*z**4 - 5*z**4 + 5*z**4) + 1252*z**5 + 412800*z**4 - 412800*z**4.\nAnswer: 1256*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/5 + 1 + 12\/(-15). Which is the closest to -0.1? (a) 0.4 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*p - 3*p. Suppose -3*z - 2*z - p = 0, -5*r - z = -14. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a day in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2620.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (5 - (-11 + 0 + (192 - 192) - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 710178020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1, 5*s + 1 = -4*a - 0. Suppose -b - u + 169 = 4*u, 4*b - u = 676. Let p = -2027\/12 + b. Is p smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 40 = -5*i, 2*i + 101 = -16*z + 5*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 20 = 2*f, 2*u - f = 3*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 3*n + 10 - 1, 5*n + 15 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 13*f**4\/6 + 8*f**3\/3 - 21*f**2\/2 + 1952*f. Let q(w) = -5*w**2 - 3*w + 4. Calculate 11*q(l) + 2*z(l).\nAnswer: -3*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1519069.\nAnswer: 17, 19, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-1\/2)\/s)\/s)**(2\/141)\/(s**(-8)*s**(1\/3)))\/(s\/(s\/(s*s*s**11\/s))*s**(3\/2))**13 assuming s is positive.\nAnswer: s**(-15777\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 19*z + 16 = 17*z, -4*a - 5*z = -26. What is the third derivative of 2*r**2 - 14526*r + 3*r**5 + a*r**4 + 14460*r + r**5 wrt r?\nAnswer: 240*r**2 + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4032658 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*((-3)\/(-2))\/3. Suppose f*g = -3*g. Let u = 2 + g. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212132.5 seconds to hours.\nAnswer: 614.48125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.963 + 2.069. Round x to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(5 + (sqrt(1216) + 1 - sqrt(1216)) + sqrt(1216) + (sqrt(1216) - (3 + 0 + sqrt(1216)))))**2.\nAnswer: 192*sqrt(19) + 4899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-8)\/(-4))\/(((-2730)\/46683)\/((-30)\/18)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00522 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/83 in 0.3, 28, 2\/11, -1, 51?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - ((13 - 16) + -19)) + (-1 - 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d - 15. Let r(x) = -3*x - 4. Let g(y) = -2*n(y) + 9*r(y). Let i = -38 - -27. What is the units digit of g(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1000592525 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 2*z - 20, 5*v - 9*z - 402 = -386 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 18*k - 2*k + 20 - 28 - 13*k.\nAnswer: 3*k - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q - 2 + 2*q**2 + 31 + 0*q**2 - 11*q to f*q + b + w*q**2 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1080, 2231, 3380, 4527, 5672?\nAnswer: 6815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2 + 0*p + 6 - 6*p - 5. Let z be h(0). Solve -4*u = -y - 0*y + 10, z*u + 4 = -y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*14*9\/18. What is the tens digit of 2\/h + 191\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-30) + ((-8)\/(-6) - 1))\/((-56109)\/5049810)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = y - 75. Suppose -13*z - y = -702. Suppose -z = -k + 11. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -0.1, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/7))**(5\/18)*((h\/h**(-1\/3)*h)\/h*h)**(-7) assuming h is positive.\nAnswer: h**(-2033\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 + 4 = 0. Let x be 0*(g\/2)\/3. Let j(z) = -z + 6. Give j(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = 21*c + 307 + 392 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882*b**5\/17 - 3220*b**4\/17 + 1374*b**3\/17 + 1068*b**2\/17 - 56*b\/17 - 48\/17 = 0 for b.\nAnswer: -2\/7, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(65) - (sqrt(65) - sqrt(65)*2)*2)\/(1*sqrt(320)).\nAnswer: -15*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356689, -713390, -1070091, -1426792, -1783493, -2140194?\nAnswer: -2496895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -63850 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 202*t - 103*t + 19*t - 1 in the form i*t + q and give i.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*u = 3*s + 143*u - 43, 3*u = 3*s - 48 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from uxuxouxvuvx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + 217 + (-58 - 34)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a decade in months?\nAnswer: 765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1303944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 489521, 979844, 1470169, 1960496?\n\"Answer: a**2 + 490320*a - 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 895627158729 - 0.6\nAnswer: 895627158728.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.98 - 0.02. Let k = 933\/7 + -133. Let o = 14 - 14.11. Which is the nearest to k? (a) q (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 76 = 2*t, 2*a - 41 = a - 5*t. What is the highest common divisor of 112 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*v + 25*v - 303*v - 185*v + 19*v - 101*v.\nAnswer: -480*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-474)\/3081 + 136\/546)\/((-1)\/6).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + h**2 + 3)*(18 - 38 - 5*h + 15)*(-8 + 1 - 1)*(0 + 1 - 4).\nAnswer: -120*h**3 - 120*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 5) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1007521834 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 3*q + 20. Give d(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1171*v**2 + 13668*v**2 + 7522*v**2 + 15317*v**2)*(0*v + 6*v - 4*v)*(2*v - v - 3*v).\nAnswer: -141344*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 381600 a multiple of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4808784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**3 - 4. Let h(a) be the first derivative of a**3\/3 + 1. Determine h(r(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -81. Find x such that -5*x**r - 2453*x + 2863*x - 2047 - 6358 = 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2778641 or -2778642?\nAnswer: -2778642","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 50\/67 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -3\/7, 1\/279 in increasing order.\nAnswer: -4\/5, -3\/7, 1\/279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-89424)\/(-128) - 3*2\/(-16). Suppose 5*m - 503 = -2*b + 204, -5*m = 4*b - t. What are the prime factors of m?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {d: 4, j: 2, z: 4, n: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 88.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 47*n - 12. Let i be c(-23). Suppose -35 = -8*g - i. Solve 0*t = -g*q + t + 14, 0 = -q + 3*t + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.33752?\nAnswer: -0.033752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z, -2*z + 43 + 22 = 5*b. Let y(j) = -7*j**2 - 128*j + 16. Let r be y(-18). What is the highest common factor of b and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(400)\/sqrt(8) + sqrt(50) + -6*sqrt(50)*2 + sqrt(50))**2.\nAnswer: -360*sqrt(2) + 4066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380366?\nAnswer: 2, 7, 101, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -0 + 11. Let a(w) = 91*w - 26. Let x(d) = -18*d + 5. Let m(c) = 5*a(c) + 26*x(c). Determine m(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - g**2 - g - 5. Let q be w(3). Let x be (q\/(-20))\/(2\/(-4)). Let o = -41\/2 + 365\/18. What is the closest to o in x, -0.4, 0.07?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v + 304 - 1641 - 145 = 0 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 1. Let l be (-24)\/56 + (-31)\/(-7). Suppose -2*b = l*p + 126, 6*p + 48 = 4*p + 4*b. Let n(r) = 2*r**3 + 10*r + 10. Give p*m(w) - 3*n(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 1637240*s**2 + 670138704400*s.\nAnswer: s*(s - 818620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3219*w**3 + 1409*w**2 + 28*w. Let p(b) = 3218*b**3 - 1407*b**2 - 35*b. Let m(s) = 5*n(s) + 4*p(s). Find the third derivative of m(v) wrt v.\nAnswer: -19338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931048850 a multiple of 1490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13765*j - 9612*j - 9574*j + 32950*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/30 and 187\/6253530?\nAnswer: 6253530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 12*z**5\/5 - 51412*z**4\/5 - 188628*z**3\/5 - 188668*z**2\/5 - 3432*z + 34304\/5 = 0.\nAnswer: -2, -1, 1\/3, 4288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 + -202?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -223, -659, -1473, -2791, -4739, -7443, -11029?\nAnswer: -15623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18227*i + 18228*i - 5*u + 14, 4*u = -5*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -23*x + 5. Let b(j) = -20*j + 2. What is g(b(i))?\nAnswer: 460*i - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12857, 23720, 34583, 45446, 56309, 67172?\n\"Answer: 10863*k + 1994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69738031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-36)*928\/87\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a factor of 33198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 8*p**2 - 4*p + 36. Let t be l(8). Solve 0*h + 4 = -t*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 - c + 2. Calculate i(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:39 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39923 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(18\/24). Is (-13190)\/15*(c - (-21)\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-24))\/((-1)\/4*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4\/25 - 106*u**3\/5 + 7348*u**2\/25 + 28304*u = 0.\nAnswer: -29, 0, 50, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413571 is divided by 137857?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -7 - 15 - -2 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -873 - -873. Suppose r = -31*d + 71*d + 80. Let a(b) = 3*b**3 - b + 2. Calculate a(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 19*w + 10*w**2 - 30*w + 5 - 5 + 6. Is u(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0652, -733, -2\/11, 5?\nAnswer: -733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55599, -56230, -56865, -57504, -58147, -58794, -59445?\nAnswer: -60100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 11*l = 318. Suppose l = 4*k + 19. Let h = k + 10. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -7)*1\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b28 (base 14) to base 4.\nAnswer: -1031020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - -4) + 76 + (-174 - 17)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + u + 13 = -7*a, -8 = -4*u. Let n be (14\/(-12) - -2)*36\/(-16). Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234 - 150. Let t(b) = -d + b**2 + 44 + 40. Let u(k) = k + 3. Let z(j) = 5*j + 17. Let x(m) = 34*u(m) - 6*z(m). Give x(t(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97113764 rounded to 3 decimal places?\nAnswer: -0.971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 1 + 73 + -78.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 + -37. Suppose m + m = u. Suppose -41 = -3*q - b, 4*q - 3*b - m = -6*b. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6347*n**2 + 12692*n**2 - 6347*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -37\/2*j**2 - 7\/6*j**3 + 0 + 23*j. List the prime factors of b(-17).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 6. Let v be j(10). Suppose -2 = -v*g - 14. Which is the closest to 1? (a) g (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/9*171 - 3. Suppose 0 = -4*s + v + 25. Suppose 25 - 61 = -3*l. Calculate the remainder when s is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32+-63632\nAnswer: -63600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 110200222?\nAnswer: -110200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26891104 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(((-125)\/(-10))\/(-5)). Is m equal to 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8106.\nAnswer: 2, 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107474375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 58718.48 weeks?\nAnswer: 591882278.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -204*j**2. Let a(s) = 23*s**2. What is a(k(v))?\nAnswer: 957168*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2332 + 4121 = -190*b + 2929 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22059, -44126, -66199, -88284, -110387, -132514, -154671?\nAnswer: -176864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(3) + -2)*-6.\nAnswer: -18*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - n + 48 = 0. Calculate the remainder when 25 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + 10. Let n be 2\/3 - 24\/9. Calculate the remainder when b is divided by 0\/(n - 0) - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6)*(-12)\/8. Let t = -18 + 15. Let l(w) = -w**3 - 8*w**2 - 8*w - 4. Let y be l(-7). Put a, y, t in decreasing order.\nAnswer: y, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 113\/1186 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 5404.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33453 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 14*y + 1. Determine q(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-1))\/(-16))\/(1\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4697.3468 to the nearest integer.\nAnswer: 4697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924945511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 106. Is 26 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/3*g**2 - 4*g + 1\/3*g**4 + 4\/3 - 2*g**3.\nAnswer: (g - 2)**2*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Let v(k) = k**3 + k**2 - k + 4. Let f be v(i). Let h = f - 20. What is the remainder when 67 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -542? (a) 3\/8 (b) -3.58 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*w + 36*w = -119*w - 93*w - 52*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 119 and 0.05.\nAnswer: 5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -364 - -364.22. Let g = l - 0.02. Which is the nearest to 35? (a) -1\/8 (b) g (c) 4\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/63)\/(420\/490)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -231989*c**3 + 176038*c**2.\nAnswer: -1391934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*j - 79*j - 62*j = 63*j - 3000 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/56*1\/(-2). Let x = -4.66 + 4.76. Which is the second smallest value? (a) x (b) 5 (c) f (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 1101\/7 + 1095\/7*g**2 + 2199\/7*g - 3\/7*g**3 = 0?\nAnswer: -1, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/(-24) - (-22)\/(2640\/45) - 44\/8\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuussssususs.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1340 - 13246?\nAnswer: -11806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14079346 divided by 14079346?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**8\/80640 - d**7\/10080 + d**5\/30 + 6*d**2. Let o(s) be the third derivative of h(s). Solve o(v) = 0 for v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -11*v - 11. Let b(i) = 2*i + 5. Let c(g) = -5*b(g) - q(g). Calculate c(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6578 + -646. Suppose -2*q + 3472 + o = 0. Is q\/8 - (-12)\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, m: 3, j: 6, d: 1, k: 5, i: 1}. What is prob of sequence fmd?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:59 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 o, and 1 w when four letters picked without replacement from {o: 3, p: 6, q: 2, e: 3, w: 4}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -87 (b) -7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-70)*(-1820)\/(-390)*5\/(-260)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17169 + -17149. What is the greatest common divisor of 6340 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 3:20 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*y = 136*y + 48. Which is the nearest to y? (a) -5 (b) -1\/5 (c) -0.5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 7*i - 6. Suppose 3*c = i + 144. Suppose -3*m = -c - 85. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 30. Let c be n(-4). Suppose 1980 = -13*d + c*d. List the prime factors of d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) 2\/25 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*y**3 + 33*y**3 + 8*y**2 - 11*y**6 wrt y.\nAnswer: -1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 - -9. Let i be 40\/v - 6382\/10. Let o = 1190 + i. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1843137\/140 + 65769\/5. Let n = -1463 - -10316\/7. Let j = l + n. Which is the closest to -1\/2? (a) 0 (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + 2 + w)*(-2*w**3 + 32*w**3 - 366*w**2 + 363*w**2).\nAnswer: 60*w**4 + 54*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*4\/108*9.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -5, 3, 3\/8, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -441.371?\nAnswer: -441.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 161, 260, 359, 458, 557?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6.2. Suppose 4 = -2*q, 6*s - 5*q = s + 15. What is the closest to 3 in l, s, -1\/10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118389 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3030300 and 8255?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 250?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/206 - -421\/1854. Let u be 3 - 1 - (-2 - 0). Let v be (60\/(-105))\/(u\/14). Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**4 + 19*o**3 - 49*o**2 - 19*o + 34. Let g(b) = 9*b - 5*b**3 + 16*b**2 + 3 - 3*b - 14 - b**3 - b**4. Let u(j) = -11*g(j) - 4*h(j). Factor u(q).\nAnswer: -5*(q - 1)**2*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/8 + 1925459*k\/2 - 3850917\/2 = 0 for k.\nAnswer: 2, 7701834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-18)\/8 - 19\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 134, -7, 20, -1, 4.\nAnswer: -7, -5, -1, 4, 20, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/135)\/((-16)\/72)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 21816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/339 in 4\/7, -0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.11 - -2.01. What is the second smallest value in -12, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 1114484473054 and -0.23.\nAnswer: 1114484473053.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -378 + 96 - 278. Calculate the remainder when 780 is divided by b.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 + -152 + (14 - 32).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**31\/w)\/w**(3\/2))**3 assuming w is positive.\nAnswer: w**(171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**4\/4 - 2*b**3 + b**2 + 9*b + 2. Let i be q(-6). Is i\/9 + (-79)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -946 + 11819 = -433*m + 1347 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 18*m**2 + 49*m + 164. Determine p(-22).\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*c - 60 + 115. Put -3, 5, -6, c in decreasing order.\nAnswer: 5, c, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 5, 66, -2.\nAnswer: -2, 0, 2, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267268632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 189328504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 20*b - 7. Let o(a) = -a - 1. Let w(s) = -5*o(s) - r(s). Let i be w(7). Calculate the highest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/(2\/(-24)*4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208307.\nAnswer: 11, 29, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 23 = 5*k, k + 9 = -2*k. What is g in 60*g**5 - 25*g**v - 55*g**5 + 0*g + 20*g - g**4 + 20 - 25*g**3 + 6*g**4 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11826413 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357751446 a multiple of 6332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 2, o: 7, y: 4, m: 5, k: 1}. Give prob of picking 2 z.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k - 242. Let r be d(-31). What is the first derivative of -132*y**2 - 9975 + 10132 + r*y**2 wrt y?\nAnswer: -190*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -465 divided by -93\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 8*f - 9*f + 9*f + 10*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 10*z + 9. Let x be r(-6). Let j = -8 - x. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = -21. Let y = z - 7. Let b(o) = 26*o**2 - 105*o + 9. Let l be b(4). Solve -5*m - 5*r - 20 = y, -l*m - 4*r = -0*m + 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Suppose 4*o = -4*q + 39 + 97, 4*o - 120 = n*q. Suppose 5*l - 45 = 2*y, 0 = 6*l - 2*l - 5*y - 19. Calculate the remainder when o is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + -3 - 54) + 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5098 minus 2?\nAnswer: -5100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000101111001 (base 2) in base 16?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(76)\/sqrt(4)*-4.\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -5, 0.3, 0.6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (7 + 6 - 7) - (14 - -5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/354 and 3\/3*(4 + -4) + 357\/(-28).\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*z = -12 + 37, 54 = 3*r - 2*z. Suppose 3*k = 6*k - 12. Calculate the highest common factor of k and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-90) - 58\/18. Let z(m) = -m**2 + 7*m + 6. Let y be z(8). What are the prime factors of 3 - 0 - (24\/o - y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**3 + 30*i**2 + 2*i + 3. Let v(o) = 18*o**3 + 121*o**2 + 7*o + 11. Determine -22*n(c) + 6*v(c).\nAnswer: -2*c**3 + 66*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*m - 6, -2*l - 6 = -4*l - 4*m. Solve 4*d - 5*g - l + 12 = 0, -d - 16 = -4*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:20 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/24)\/11*(1 + 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 135 (c) 3384\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + z - 4)*(-3 + 0 + 4) + 0*z - 2*z + 33*z - 23 - 6*z + 23 - z + 1 - 1)*(-2 + 2 - z**2).\nAnswer: -25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 0, 1\/6, 28, -0.55?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49\/5 of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u**5\/2 + 28983*u**4\/2 - 30149815*u**3\/2 + 9989230173*u**2\/2 - 6639404076*u + 2210904234 = 0 for u.\nAnswer: 2\/3, 693, 1263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472891 is divided by 11810?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 3*i + 0*i)*(-2*i**2 - 7 + 4 - i**2) - 2*i**3 + 4*i**3 - i**3 + i**3 + i**3 - 3*i**3 + (i - i + 2*i**2)*(-3*i + 0*i + i) + i**2 - 2*i**3 - i**2.\nAnswer: -3*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -949301.92652 take away 5?\nAnswer: -949306.92652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*u*w + 1755318*k**2*w**3 - 7*k*u*w**3 - 403*k*u*w + 100*k*w + 10*k wrt w.\nAnswer: 10531908*k**2*w - 42*k*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18782*t + 11 = 2*b + 18777*t, 3*b - 30 = 3*t for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61388662.\nAnswer: 2, 2767, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**5\/2 + 11*b**4\/6 + 118*b**3\/3 - 24*b**2 + 1553*b. Factor w(d).\nAnswer: -2*(d - 6)*(d + 4)*(5*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {e: 1, w: 1, m: 1, l: 2, o: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -450796 or -450813?\nAnswer: -450796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)*c\/c**(-3))\/(c**(-1)\/c*c*c**(-1\/4))*((c\/(c*c*c**6*c*c*c))\/c**(-7))**(-5\/4) assuming c is positive.\nAnswer: c**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b + 60dcb?\nAnswer: 60e57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bd2e3 (base 16) to base 14.\nAnswer: -740b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.20862 and 0.0653.\nAnswer: -0.340122886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2234934*v**2\/5 + 100572034*v\/5 - 36.\nAnswer: -2*(v - 45)*(1117467*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -5. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 1. Let b(k) = -347*k**2 + 3*k - 3. Calculate -2*b(t) - 6*v(t).\nAnswer: 694*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -317 divided by 1636\nAnswer: -317\/1636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/13 or 0.1?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1339*c - 79009. What is i(-59)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4389.785856 - 38.83?\nAnswer: 4350.955856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*p - 1168 = -85*p. List the prime factors of p.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**2 - 146257115*g + 146257110 = 0.\nAnswer: 1, 29251422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 1819 - 778 - 31 = 0. Is d greater than or equal to 442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4088 - 402. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 13, 1\/7, 85?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 12. Let l = -20535\/2 - -9796. Let n = l + 443. Calculate the common denominator of n and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 6253.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -c + 37 - 40, 3*c + 4*d + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57516*j**2 + 29894 wrt j.\nAnswer: 115032*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-6))\/(-3))\/3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (108\/(-5) + 3). Let g = h - -229\/10. What is the common denominator of g and -39\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s. Let k(y) be the second derivative of s*y**2 + 0 - 1\/12*y**4 + 1\/3*y**3 + 3*y. Factor k(z).\nAnswer: -z*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 76\/16 - 3\/4. Suppose -3 = -k, 8*l - 3*l + h*k = 12. Suppose -3*r + 6198 - 798 = l. What is r rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 + 1 + (9 - 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 5}. Give prob of picking 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 495535 times -0.4?\nAnswer: -198214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45949 is divided by 15260.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2361456 and 53\/1574304.\nAnswer: 4722912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*q = 35, -75 = 7985*l - 7980*l - 5*q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 22715*y**2 - 340723*y - 30. What is u(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -103, -207, -313, -421, -531, -643, -757?\n\"Answer: -s**2 - 101*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (4 + 4*sqrt(180)))**2 + sqrt(180)*4*4.\nAnswer: 240*sqrt(5) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5 + 13 = -b, 6 = -3*y - 2*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 9*m**2 - 8*m - 21. Let z be s(10). Let w = -0.4 + 0.1. Which is the nearest to 0? (a) w (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 40*h + 44*h + 28, -3*h = b + 16. Solve 2*l - 6 = -2*c, 0 = -4*l + c - b + 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g**2 - 425*g + 28. Does 8 divide t(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 236672?\nAnswer: 236676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 887, -0.1, 0.3 in decreasing order.\nAnswer: 887, 0.3, 2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13714 and -0.3.\nAnswer: -4114.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -226*n + 228*n + 6, -6 = 3*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h + 11 = 3*l, -2*h - 14 = -2*l. Let u(p) = -6*p**3 - p**2 - 2*p + 2. Is 25 a factor of u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 10*z + 91, 116*h = z + 112*h + 13 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 2231*a**6\/30 + a**5\/20 - a**3\/3 - 157*a**2 + 1427*a + 3. Find the second derivative of q(j) wrt j.\nAnswer: 26772*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 - -0.9. Which is the biggest value? (a) -1\/5 (b) 0.3 (c) -1\/6 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24885.\nAnswer: 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -0.2?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 6*l**2 + l + 1. Let h be x(6). Suppose 4*c + 99 = h*c. Suppose -4*v + 83 = -c. Calculate the highest common divisor of v and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -8*1\/(-1). Let n(h) = h**2 + h. Let b(f) be the second derivative of -f**4 - f**3 - 107*f + 2. What is t*n(j) - b(j)?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2. Let b(l) be the third derivative of -7*l**5\/30 - l**4\/24 - 40*l**2 - 1. Calculate o(b(x)).\nAnswer: 588*x**4 + 84*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28196 and 12.\nAnswer: 84588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25818*b + 12962*b - 5207 = -12983*b for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 1, x: 4, w: 3, q: 2, s: 2}. What is prob of picking 1 w, 2 x, and 1 q?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -318, 4202, 8722, 13242, 17762, 22282?\n\"Answer: 4520*j - 4838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 10*s + 7643. What is p(83)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3746324 to the power of 1\/2, to the nearest integer?\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 10*b**2 - b - 12. Let i be q(-9). Let n = i - 30. Let w = -30 + n. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 27*y**2 + 63 - 6*y + 31*y**2 - 57. What is p(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 45 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247426 = -s - d, -5*s - 556790 = 4*d + 680345. Let m = s + 422241. Let x = m - 387810. Round x to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57099 + 36665. Let v = 7353 - d. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2411\/8 - -301. Let w = -41\/51 + 7\/51. What is the closest to w in -2\/11, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwwwwdww. What is prob of picking 2 w?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/9)\/j*j*j**(-1))**1\/((((((j**(-2)*j)\/j)\/j)\/j)\/j**(3\/2))\/(j**(-1)*j)**47) assuming j is positive.\nAnswer: j**(107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 9*t + 3. Let k be h(-9). Suppose -17 = -k*f + 10. Suppose -5*n = 4*w - f*w - 5, -2*w + 10 = 4*n. What is the nearest to w in 0.3, 4, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/5026 and -85\/16.\nAnswer: 40208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -6) + 4 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -64458\/137, -5, 4 in descending order.\nAnswer: 4, 0.3, -5, -64458\/137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*g + 65 + 694 - 51 = 0 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228331?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u + 249 = 1575. What is the greatest common factor of 208 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 50, 12 in decreasing order.\nAnswer: 50, 12, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/70*((-42)\/54)\/(10\/(-45))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24161*f + 2*f**2 + 12076*f + 12085*f - 3*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*r - 2*y + 28, 0 = -3*r - 2*y - 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -970b (base 13) to base 2.\nAnswer: -101000111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**3\/3 - g**2 + g + 4. Let q be y(-2). Solve -12 = -2*p - p + 4*u, 4*p - 3*u - q = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -4 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/13680 and -121\/108.\nAnswer: 41040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146822*a**2 - 73416*a**2 - 73404*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33072654, 33072652, 33072650, 33072648, 33072646, 33072644?\nAnswer: 33072642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -769\/18 + 158\/9. Suppose -4*b = -2*n + 908, 2*n + 5*b - 447 = n. Find the common denominator of (n\/(-72))\/((-4)\/12) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 14 (b) -11\/5 (c) 2\/3 (d) -0.01 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15033 is divided by 883.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 145*z**3 + 19291*z + 16 - 19293*z - 14 as f*z**3 + y*z + q + w*z**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 6*g**2 - 7*g + 4. Let b be f(5). Let j(p) = 3 + 8 + 16*p + 18*p**3 - 21*p**3 + p. Let r(y) = -y**3 + 6*y + 4. Give b*j(v) + 17*r(v).\nAnswer: v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(15)\/sqrt(3)) - (sqrt(1088) + -4) - (-1*(-2 + sqrt(1377) - sqrt(1377)) + 2))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -157, -165, -145, -97, -21?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/3)\/h)\/h)**13)**(-5\/6) assuming h is positive.\nAnswer: h**(325\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*d - 122*d - 272*d = 333*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 66. Let a be (2 + m)\/(-3 + 4 + 0). Solve 0 = -4*x - p + 6 - a, 0 = 5*p + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 26*v**2 - 16*v + 21. Let k(i) = -5*i**2 + 3*i - 4. Let y(g) = -11*k(g) - 2*n(g). Let t(w) = 13*w**2 - 4*w + 9. Determine 2*t(p) - 9*y(p).\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1941, 3839, 5737, 7635, 9533?\nAnswer: 11431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10 + 40*v + 6666*v**2 - 10 - 27*v + 6 + 2. Is j(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**2 - 87*z + 87*z.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 309495 divided by -5\nAnswer: -61899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 - 1. Let p be b(-1). Suppose -p*z = -3*z. Suppose 12 = a + 2*a. Solve z = -a*l - 8 - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**3 + 8*b**2 + 8*b - 84. Let z be w(-12). Suppose 46*v - z = -1010. What are the prime factors of v?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*z + 35952, -2*z + 28376 = s - 7560. List the prime factors of z.\nAnswer: 2, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 + -113.8. Which is the closest to 0.2? (a) x (b) 0 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/5 of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292753.2 millilitres in litres?\nAnswer: 292.7532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15860593?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 0*d + 12 = -3*d, -x - 5*d = 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -81*h + 18. Let n(v) = -93*v + 17. Determine 5*i(p) - 4*n(p).\nAnswer: -33*p + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -2166, -4868, -8650, -13512, -19454?\nAnswer: -26476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.6114 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539982348.\nAnswer: 2, 3, 107, 193, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -345732562*k**3*l**2*x - 12646*k**3*l**2 + 20426*k**2 + l**2 wrt x?\nAnswer: -345732562*k**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -730\/189 - -112\/27. Which is smaller: w or 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h - 6. Let o(k) = -14*k + 7. Let x(t) = -3*i(t) - 2*o(t). Let j be (-19)\/7 - (-2)\/(-7). Is x(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 8*y**4 + 8)*(43 - 18 - 5) + (y - y + 2*y**2)*(4 - 4 + 2*y**2) - 2*y**2 + 2*y**2 - y**4 - 2*y**4 + 5*y**4 - 4*y**4 + 2*y**4 - y + y.\nAnswer: -156*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 178665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155766 divided by -104.\nAnswer: -5991\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*h + 124 = -108*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 1. Let u be h(-1). Suppose 0 = u*a + 2*l + 2 + 4, 2 = l. Let b = 1806.2 - 1812.2. Put a, b, -0.4 in increasing order.\nAnswer: b, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.0079399 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 2\/3*f**3 - 1\/15*f**5 - 1\/30*f**6 - 4\/105*f**7 + 0*f + 0 + 0*f**4 + 63*f**2. What is the third derivative of h(t) wrt t?\nAnswer: -192*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1. Let t(g) = g**2 - 3*g + 3. Let i(c) = c**2 + 2*c + 4. Let r(k) = 2*i(k) + t(k). Calculate -5*j(h) + r(h).\nAnswer: 3*h**2 + h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5 + 3*a**2 - 2*a**2 - 1 - 6*a. Let t be k(7). Let v = t + 0. Sort v, 0, -1.\nAnswer: -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152349851.\nAnswer: 263, 579277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 12*l - 4*l)*((2*l - 4*l + l)*(l - 3 + 3) + 5*l**2 - 2*l**2 - 4*l**2).\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2194*h**2*k**3 - 2*h**2*k*w**2 - 2*h*k**3*w + h*k**2 + h*w - 4*k*w**2 + 20 wrt h?\nAnswer: 4388*k**3 - 4*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*m + 1910*m + 62920 = 0 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 7*y**2 - 2107*y - 14736. What is r(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-two fifths of a second?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 248*m**3 + 57.\nAnswer: 248*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 5\/(20\/(-1492)). Let i = 382 + h. Calculate the least common multiple of i and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037262 to 4 dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -114612541.\nAnswer: 114612540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6315 is divided by 3152.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 30 - (5 - (2 - -4 - 6)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 199, 299, 399, 499, 599?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 - -4893?\nAnswer: 4908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 7*f + 2 = -2*i, 3*f + 2*i + 10 = 0. What is the tens digit of 282\/(-9)*(-3 + 9\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h + 1. Let p be u(8). Let w(y) = y**2 + 9*y - 4. Let s be w(-9). What are the prime factors of p*(-4)\/48*s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19565437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t*t**(-1)\/t))\/t**(17\/2))\/(t*t*t\/(((t*t**11)\/t)\/t*t))**(-48) assuming t is positive.\nAnswer: t**(-777\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*w = -347496 + 352996 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 454050 - 297670. Round p to the nearest one thousand.\nAnswer: 156000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 167467198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v + 260. What is n(45)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/3*1*-2. Let f(i) = 3*i - 5. Let s(u) = 2 - 4 - 6*u + 7 + 5. Let y(d) = -7*f(d) - 3*s(d). Determine y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*t - 1891*t = 2154*t - 57495 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/63*((-2)\/40)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 44585640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4}. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 4*o**2 + 7*o + 2. Suppose -4*z + 8*z = 16. Let h be w(z). What is the greatest common divisor of h and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**5 - 503669*s**3 + 1915009*s**2?\nAnswer: -180*s**2 - 3022014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 - 54364*b\/5 - 2496512\/5.\nAnswer: -2*(b + 46)*(b + 27136)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 59 = 3*y, -7*s - 2*y - 14 = -8*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 9. Let z(u) = 1. Let y(a) = g(a) + 4*z(a). Let c(p) = 4 + 0*p - 3 + p. Give -5*c(l) - y(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - 188*s - 1016. Let z be (14 - 0)*7\/2. Suppose -4*u + 36 = -2*v, 4*u + 4*v - z = u. Calculate the lowest common multiple of p(-6) and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*j - 407*j + 6*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in -2, 0.5, -2\/9, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 2\/17 (b) -257 (c) 0.02 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453534698 - 148791.\nAnswer: 453385907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**1*m*m*m\/((m**(-3\/2)*m)\/m*m)*m**(-3\/2)*m*(m\/(m\/(m**(-1\/7)\/m)*m*m*m))\/m*m*((m\/m**6)\/(m\/(m*m\/m**(-6)*m*m)))**(1\/2) assuming m is positive.\nAnswer: m**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/9)\/m)\/m**(-3))\/(m**0\/m*m*m\/m**(-2)) assuming m is positive.\nAnswer: m**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 407 - 403. Let q = 30 + -46. What is the closest to -2\/5 in q, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*a - 315, -4*b - 5 = 15. Let t = -100 - a. What is the remainder when 34 is divided by 2\/9 + (-640)\/t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -23, -66, -143, -266, -447, -698, -1031?\nAnswer: -1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 16) to base 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(243) + 5 + ((2 + sqrt(243))*-5 - sqrt(243)) + 3)**2.\nAnswer: 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 638 and 248617.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25300 divided by -127?\nAnswer: -25300\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = b. Suppose -3*g - 130 = -b*g. Let m = 208 - g. Calculate the highest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -22*b**2 - 2*b + 2. Let n(j) = -j + 1. Let c(i) = 3*n(i) - o(i). Is c(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = -46*c - 30*c - 742 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -125.7 - -126. Which is the biggest value? (a) -2 (b) -7 (c) 0.4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4 = -4*k, 2*k = t - k + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.72 + -11.72. What is the closest to -0.1 in 2, -4\/11, 1, l?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 3 - k + 8*k in the form n*k + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(2 - 0\/1))\/((-1288)\/460).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -10 + (4870 - 4834).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 0*c**2 + c**2 - 1 - 5*c + 5. Let b(u) = -u**3 + 31*u**2 + 147*u - 240. Let q be b(35). Determine v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1823712 or 1823711?\nAnswer: 1823711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34867320?\nAnswer: 2, 3, 5, 37, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1179 in 4, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4013143 - -15513?\nAnswer: -3553230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 3*q + 7. Suppose f + 5 = 3*s - 8*s, -3*f = -3*s - 3. Suppose -4*x + f*x - 16 = 0, x + 24 = -4*k. Calculate l(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -582*w + 584. Let q be n(1). Solve 2*i + 3*i + 15 = q*r, 6 = -2*i - 2*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -3*z + z - 2, 5*z = -5*j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14\/21*555 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus 1.005?\nAnswer: -8.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3 - 4*t**3 + 5*t**3 - 6 + 8*t**2 - 10*t. Let h be k(-9). Suppose 0 = w + 2*a - 92, h = 4*a - 2 - 2. What is the highest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -1, -4, 29, -0.34, -2\/23 in decreasing order.\nAnswer: 29, 0.03, -2\/23, -0.34, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -14. Let i = -22 + s. Sort i, 1, -9 in decreasing order.\nAnswer: i, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - 3*n**2 + 4*n**2 + (3*n**2 - n**2 - n**2)*(-4 + 0 + 2) - n**2 + 4 - 4 + 4*n**2 - n**2 - 2*n**2 + 0*n**2 + 0*n**2 + 2*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(w + w + 0*w) - w - w + 3*w + 6 - 6*w - 6)*(-3 - 5 + 10)*(13*w - 16*w + 23*w).\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = -470 - 18. Let a = s + 101. What is the remainder when a is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -u + 36. Let q be 1485\/u - 2\/(-13). Which is greater: 24 or q?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k - 1. Let h be l(3). Let p = h + -11. Solve -2*n + 2*d - 2 = p, 3*n = -2*n - 5*d + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12208, -24021, -35838, -47659, -59484, -71313?\n\"Answer: -2*g**2 - 11807*g - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.0384 + 0.0384. Let m = 7 + 6. What is the third smallest value in q, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 589*v**2 - 100138*v + 180. Calculate r(170).\nAnswer: -1180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4772 + 9633. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n + 22080 = 3*u + 45*n, 4*u = n + 29415. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162 + -1136\/7. What is the nearest to -0.06 in g, 3, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105246 and 918.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8393 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2713.847386 rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2668*m**2 + 48*m + 16.\nAnswer: -4*(23*m - 2)*(29*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69738 - -39236. Let u = -30496.6042 - z. Let b = 5.4 - u. What is b rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*12\/(-48)*5)\/(5\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyllllelpeeyeepepel. Give prob of picking 3 e.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j + 88*j + 76*j = -6*j + 14162 for j.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s**2 + 37*s + 66. Let b be m(-3). Solve -b*k = -12*k - 144 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 772085799 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-nine halves of a decade?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -8*c + 5. Suppose 36*n = 32*n + c. Solve -n = -j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1678483.\nAnswer: 179, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 491*c**2 + 1087*c - 3. What is i(-2)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18807, -37653, -56545, -75483, -94467?\n\"Answer: -23*n**2 - 18777*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let s(d) = 11*d + 163. Calculate w(s(z)).\nAnswer: -11*z - 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -369 and -369 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)**33\/(q**18\/q**(-4\/11)))**(-3\/37) assuming q is positive.\nAnswer: q**(-483\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 31474599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(((x\/(x*x**(-1\/4)))\/x)\/x)\/x))**35)**(-1\/3) assuming x is positive.\nAnswer: x**(-385\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n + 540. Let d be j(107). Let z be (-8)\/(-32) + (-29)\/4. Sort -10, z, d.\nAnswer: -10, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 810920 and 106700.\nAnswer: 4054600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 871*n**2 - 6132*n + 127. What is j(7)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.002 - -31. Let f = v - -0.102. What is the biggest value in f, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521.2516 weeks in days?\nAnswer: 3648.7612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -289*m - 7911. Calculate d(-27).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(3168)*-2)\/((2*sqrt(99) - sqrt(99)) + sqrt(11) + sqrt(11)).\nAnswer: -23*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-7 - 7)) + (-213 - -169 - (1 - -7)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2 - 905784*j + 205111163664 = 0. Calculate j.\nAnswer: 452892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4052*g**3 - 8106*g**3 + 4049*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 172*i + 25 = -176*i, 2*c - 14 = 5*i. Sort 3, 0, 1, 2, c in ascending order.\nAnswer: c, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -114. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22272 - -22274. Find o, given that 1\/3*o + 1\/3*o**s - 2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -7230420?\nAnswer: 723041a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*h + c + 34, -c = -4*h - 102. Let m be 1\/2 - h\/(-10). Let v(x) = -x**3 + x**2 - x + 1. Calculate the remainder when v(m) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 205637*y - 256880 wrt y?\nAnswer: 205637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*j - 3 - 53*j + 3.\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1464, 2916, 4366, 5814, 7260?\nAnswer: 8704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7808 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -15. Let o(k) = k**2 - 2*k - 4. Let w be o(s). Suppose 0*g = w*g - 32. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/3 + f**4\/12 - f**3\/6 + f**2. Calculate the remainder when q(1) is divided by (-224)\/(-36) + (-48)\/216.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3475, -13919, -31319, -55669, -86963?\nAnswer: -125195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 445*p - 60*p + 9240 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.325 times 3\nAnswer: 12.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*a + 2360 = 200*a - 25*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*w + 8292 = -3351, 0 = 2*c - 5*w - 23289. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0, -4949, -6, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 + 17 - (6 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29945631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2076.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 3*i - 3. Let s be 4 - (10 - (0 - -1)). Let o be g(s). What is the units digit of 2\/(o\/((-854)\/(-4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o - 3*o - 8*o + 5*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -94. Let c = p + 131. Calculate the remainder when c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173006, 346015, 519024?\nAnswer: 692033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 15*n**2 - 13*n - 53. Let d = -37 + 53. Is u(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 277712 divided by -104\nAnswer: -34714\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (-4824)\/(-90)*(-70090)\/(-113864)?\nAnswer: -2\/331","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 + c**3 - 2*c - 3*c**2 + 4 - 5*c**3. Calculate the least common multiple of (-1*1)\/((-12)\/108) and z(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/19)\/(12558\/(-238602)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {c: 3, j: 7, o: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-4)*347\/694)\/((-9)\/(-12)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6 + 5 + 1 - j. Let v be x(6). Solve 4*o - t = -15 - v, t + 11 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42131 (base 9) in base 2?\nAnswer: 110110010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.3996054 - -31.4. Round x to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 294?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 42*a**2 - 35*a - 86. Calculate q(41).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1153073765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**4\/30 - b**3\/5 - 12*b + 6. Let x(u) be the first derivative of v(u). Factor x(j).\nAnswer: -2*j*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = 14*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 13 + -20 + 52 + -5.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25524595 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.7 + 1.7. Let f = d - -9. Which is the third smallest value? (a) f (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 7:14 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqggqqqqgqqqqqggqqqq. What is prob of sequence qq?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33410 - -3661. What are the prime factors of p?\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 270567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -55*h + 173. Calculate p(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -136279.37658 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (141*v - 157*v + 3 - 1)*(-137*v**2 + 61*v**2 - 132*v**2) as m*v**3 + n*v + t + r*v**2 and give m.\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 16*z. Let u be j(16). Suppose x - 2400 = -u*x. Round x to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19090259.\nAnswer: 127, 191, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*g**5\/4 + 895*g**4\/2 + 719*g**3\/4 + 18*g**2.\nAnswer: -g**2*(g - 72)*(5*g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.24 - 6.24. Let p = -10 - d. Let q(l) = l**3 + 2*l**2 - 2*l + 2. Let i be q(-3). Is i at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-22) - 0\/(-23).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 2327?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -36*u - 25. Calculate the remainder when b(-8) is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25640 is divided by 416.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12894099 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z + 129. Let x be r(34). Suppose 196 = -x*l + 34. Put -1, 3, l in decreasing order.\nAnswer: 3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 0) + 11 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 20157 to the nearest 100.\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 109 = -11. What is the smallest common multiple of v and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208703, -208701, -208699, -208697?\nAnswer: -208695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-14)*42\/234?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-6) + 5\/(-15). Suppose 2*a - a = 5*k - 2, a + 4*k - x = 0. Solve -14 = -a*u - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 + 2*s - 2. Let v(o) = 4*o**2 - 3*o + 3. Let f(b) = 2*v(b) + 3*z(b). Let l(j) be the first derivative of -j**2 + 7. Calculate l(f(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26733 + -62933. What is n rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (334\/2004)\/((-6)\/(-21))?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5658*t**2 - 2828*t**2 - 2816*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**5\/11 - 50*o**4\/11 + 380*o**3\/11 - 860*o**2\/11 + 70*o - 22 = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 845*p**4 + 772*p wrt p.\nAnswer: 10140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcb when three letters picked without replacement from bbcaabcbabbbsab?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 303878, 607905, 911932?\n\"Answer: 304027*l - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35.14 + 35.34. Let g = 82 + -83. Which is the third biggest value? (a) 7 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 21\/4, 1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -17*z**2 + 0 + 0*z**3 + 3\/8*z**4 - 17\/210*z**7 + 0*z + 0*z**6 + 0*z**5. What is the second derivative of r(f) wrt f?\nAnswer: -204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-340))\/(-19 + 2231\/115).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2500)\/(-56) - -10*5\/140?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*x + 5*l - 11, 2*x - 24 = 5*l. Let u(i) be the second derivative of 3*i**5\/10 - 5*i**4\/12 - 7*i**3\/3 - 3*i**2 - 6*i. Is u(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -9. Suppose j*h = h + 25. Suppose 3*u = 7 + 2, -h*t + 9 = -2*u. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/3 - 266572*q**2\/3 + 5065229*q\/3 = 0.\nAnswer: -266591, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/155, 2, 30, 0.1, 4?\nAnswer: 4\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*d - 3014 - 1772 = 62 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 2184.\nAnswer: -4\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53, -94, -151, -230, -337, -478, -659, -886?\n\"Answer: -h**3 - 2*h**2 - 28*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/37 (b) -2\/7 (c) -4 (d) 0.4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/4249 and 7\/233088?\nAnswer: 1631616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 2)*(-3*i + 4*i + 0*i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 613319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/1 - (-4)\/(-2). Suppose f - 5*t = -w, 9 + 47 = 4*f - 3*t. Suppose -p + 2*p = f. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 - 2*c - 23. Let i(f) = -4*f**2 - f - 24. Let p(u) = -4*i(u) + 5*w(u). Is p(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-87))\/(972\/9396))\/((-40)\/6)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-16))\/((-121)\/(-264)). Which is the fourth biggest value? (a) 15 (b) -2\/7 (c) -3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 4 - 9*j**2 + 3 - j**3 + 9*j**2 to w*j + s + f*j**3 + q*j**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 - 48*x**2 - 37*x - 97. List the prime factors of b(28).\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 752\/48)*6\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -2.5. Let t = 1293469.500007 + -1293471. Let i = l - t. What is i rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14551223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:34 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 14*b**2 - 50*b + 19. Let j be t(-17). Factor 2\/15*q**3 + 0 + 0*q - 2\/15*q**j.\nAnswer: 2*q**2*(q - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + c. Let v(p) = p**2 - 13*p. Let f(u) = -2*l(u) - v(u). Let b be f(-13). Solve 20 = 4*n, 2*h - h = 5*n - b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1. Let l be (b + -9)\/((-3)\/42). Let m be (24\/(-5))\/(18\/(-60)). What is the greatest common factor of l and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 180 - 90. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 - 192*n - 196 = 0. Calculate n.\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 11 + 203 + -193\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(28))**2*5.\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 9}. What is prob of sequence ll?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5569*s**2 + 9*s + 58. Is p(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p**4 + 10*p**4 + 2*p + 16*p**4 + 2*p**3 + 2*p**2 + 1 + 0*p - 41*p**4 to the form k*p + s + z*p**2 + v*p**3 + b*p**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85 * 0.1.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(2 - 11 - 3)*(7 - 7 + 3*q)*(3 + 4 - 4).\nAnswer: -108*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4424.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -67\/3. Let j(w) be the first derivative of -l*w**3 + 2*w - 1\/2*w**2 + 4. Suppose j(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 - 2*w. Let r be f(1). Let i(y) = -4*y - 20. Let k be i(r). Let h(d) = d**2 + 6*d - 1. Let b be h(-7). Is b not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 23 - 17 = 0. Let z = 33 + -60. Let l = z + n. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/1117 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5377, -22484, -52389, -96232, -155153, -230292, -322789?\n\"Answer: -190*x**3 - 5259*x**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13586, -5, 0.5, -2\/61?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 11)*(-4*a + 3*a + 2*a) + (-a + 2 - 2)*(-1 + 4 - 4).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -436, 586\/457, 1\/4?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15\/47 - -92\/141. Find c such that 1\/3*c**3 - 2\/3 - k*c + 2\/3*c**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**5\/20 + p**4\/2 - p**3\/6 - 3*p**2 + 91*p. Let o be q(-6). What is the smallest value in -2, o, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-19))\/(386\/(-24125)*75).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.45+12.3\nAnswer: 12.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 4:50 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 33, 4\/7, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from rpoloolppo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-5) + (-260)\/(-50). Suppose -2*h + 0*p + 258 = -4*p, -519 = -4*h + f*p. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 5) to base 4\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (3 + 0)\/(3\/7). Let m(j) = 2*j**2 - 19. What is the tens digit of m(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -2483368408752.\nAnswer: -2483368408751.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 941*b**2 + 0*b**3 - b - 468*b**2 + 4 - 476*b**2. Give j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -443347563250 - 5.\nAnswer: -443347563255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2128 and 2394.\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299 a factor of 38351676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 3*c**2\/2 - 3*c - 7. Suppose -3*l - 12 = 3*w + l, l = 2*w - 3. Let m(s) = s + w + 3 - 4 + 0. Calculate -d(o) + 2*m(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 2. Let r be m(2). Let f = -475 - -443. Let x be r - f\/14 - 8\/28. Is x >= 3\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37339 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292*z = -1230*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*v**(-15) assuming v is positive.\nAnswer: v**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 2 + 0 - 2*c)*(0*c**2 - c**2 + 3*c**2)*(3*c + 0*c - 2*c).\nAnswer: -12*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*s - 5. Is 155 + (-2 - -4) + s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4770)\/(-2862))\/(-5*1\/(-3))*11\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.28975ml in litres?\nAnswer: 0.05428975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**3 + 6*r**3 - 4*r**3 - r - r wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14 - -11) + (-282)\/(-2). Does 27 divide s + (-2)\/5*(0 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 - (3 + 13 + -19).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2050, 2036, 2008, 1960, 1886, 1780, 1636?\nAnswer: 1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -k + 2*c, -1202*c - 102 = 7*k - 1199*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-2296)\/(-41))\/(-56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751722699.\nAnswer: 3, 7, 13, 101, 137, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9232635 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2886210 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181345?\nAnswer: 5, 36269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110461 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -5.4\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 63598 - 37591. What are the prime factors of d?\nAnswer: 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 9\/(-4)*(-21 - 4125\/(-225))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 20570?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 5:47 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b. Let p(g) = -g**2 + 1. Let k(d) = 3*d**3 - 3*d**2 - d + 4. Let i(m) = k(m) - 4*p(m). Let u be i(1). Let t(s) = -s. What is u*t(c) - r(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 + 53 - 109)*(-4 - 2*x + 4) + (-x + x - 2*x)*(-5 + 2 + 1) + 0*x + 3*x - 2*x - 4*x + x + x + 3*x + 0 + 0.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*f + 330*f + 31 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2810 is divided by 264?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + -0.3. Let z = -2 + 2.1. Let a = -0.2 + z. Is b bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**8\/448 + o**7\/280 - 9*o**6\/160 + 11*o**5\/80 - o**4\/8 + 683*o**2. Let h(k) = 0. Calculate k.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 4:32 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 i, and 1 l when three letters picked without replacement from {h: 4, w: 2, i: 2, z: 7, l: 5}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, 19, 93, 239, 481, 843, 1349?\n\"Answer: 4*z**3 - 2*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 21. Suppose 6*a - 4*a - p = 0. Is 6 a factor of 15\/(-6)*(-12)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 - 58. Let k(m) = -352*m - p - 38 + 350*m + 11. Let t be k(22). Round t to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let l(y) = 6684*y**2. Give t(l(c)).\nAnswer: -6684*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m - 1638 + 1953 = -2*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 4*s**2 - s - 3. Let m be z(3). Suppose 7*p = 2*p - 4*x + 118, -3*p + 64 = -x. What is the smallest common multiple of (-1 + -5)\/(-1)*m and p?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a centimeter in millimeters?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 1. Let n(l) be the first derivative of 7*l - 2*l**2 - 56 - 8\/3*l**3. Calculate -6*j(s) + n(s).\nAnswer: -2*s**2 - 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s - 8. Suppose 4*r - r + t + 21 = 0, r = -s*t + 7. What is the common denominator of 17\/6 and r\/20 - (-171)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*d + 6*d. Solve f - u - d*u = -8, -4*f - 4*u = -32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18061, 18068, 18075?\n\"Answer: 7*o + 18054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94011177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2765825352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3509 + 3522. Solve b*n = -28 + 106 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000195758266 rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**8\/20160 + o**6\/180 - o**5\/60 - o**2. Let c(x) be the third derivative of z(x). Find the first derivative of c(g) wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/9, 4, -4734, 5, -3\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6516299m to millimeters.\nAnswer: 651.6299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*n + 57 - 13, 0 = -l - 5*n + 12 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 12*g + 4 - 10 = 0, g + 2 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h - 12 + 23 + 2*h. Let i be v(7). Let q(n) = 12668*n**2 + 4*n. Let g be q(i). What is g rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 7 - 3 - 9*b + 0*b in the form c*b + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13464 - 13463 + 2*k + 26927.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/15 and -9\/831068.\nAnswer: 12466020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*n + 1106 = 0, -n = 59*p - 55*p - 2227. What is the highest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*b + 0*b = 60, -3*d = -2*b - 55. Suppose 2*l - 4*y = -7*y + 6, 3*l - 19 = -2*y. Let x = l + 49. Calculate the remainder when x is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001111100 (base 2) in base 13?\nAnswer: 9a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 20135?\nAnswer: 20136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)*g\/(g**(5\/3)*g))\/(g**(-1\/7))**(1\/27))**(-36) assuming g is positive.\nAnswer: g**(3524\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 701282 or 701289?\nAnswer: 701282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = 2*z. Let n be (1 - z)\/(6\/(-8)). Let c be 4\/14 + 16\/140. What is the nearest to 1 in n, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 - 1*(-2 - -4) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*w)*(3 - 1 + 3)*(5 + 44*w**2 - 14*w**2 - 22*w**2) in the form t*w + d*w**2 + o + f*w**3 and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 32092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*b**3 + 2*b**2*i**3 + 5*b*i**3 - 76*i**3 + 7*i wrt b.\nAnswer: -120*b**2 + 4*b*i**3 + 5*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 31*v - 7. Let i(o) = 2*o**2 - 32*o - 5. Determine 4*i(s) - 3*l(s).\nAnswer: 2*s**2 - 35*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 9*m + 6. Let h be a(-4). Suppose 4*c + c - 20 = h*x, -4*c - x = -3. What is the third derivative of 4*n**5 - 3*n**2 - 3*n**c - n**5 wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18789678\/(-3168)*((-44)\/18 + 2). Let q = f - 2636. What is the common denominator of q and -163\/84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (-7 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408277 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 437 + -311. Calculate the greatest common factor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j - 28 + 28 + (-2*j - 2*j + 6*j)*(0 + 1 + 3) as r*j + x and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = b + 3 - 12, -48 = -f - 7*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23589 and 5.\nAnswer: -117945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:01 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5105*n**2 - 5103*n**2 + 233*n + 155*n to f*n + t*n**2 + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 58, 208, 502, 988, 1714, 2728, 4078?\nAnswer: 5812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weep when four letters picked without replacement from {p: 3, e: 6, q: 1, w: 5}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.735963ml to litres.\nAnswer: 0.004735963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwf when three letters picked without replacement from wyccwcwyyczzczwcfc?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.9 - 8. Which is the nearest to f? (a) 6 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - 39. Suppose -4*p + y + 20 = -37, 4*p + 3*y = z. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i - 6. Let j(v) be the second derivative of -v**4 - 217*v + 1. What is a(j(n))?\nAnswer: 72*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 5*r**2 - 4*r. Let c be m(-4). Let i = -52 - -54. Solve c = i*a + 2*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 10001010111111000?\nAnswer: -10001010111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*g**3 + 5744*d*g**2 - 2*d*g + 2324661*d + g**3 - 2*g**2 wrt g?\nAnswer: -6*d*g + 11488*d + 6*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**4 + 2*r**4 + 3*r**4 + (r**2 + r**2 - 3*r**2)*(-4*r**2 + r**2 + r**2) to the form l*r + d*r**3 + v + q*r**2 + c*r**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 i when four letters picked without replacement from iwwwiwwwwww.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48202 by -24101.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (5 + (-10 - -13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u + 15 + 39*u - 7*u - 12*u.\nAnswer: 3*u + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35616332013 and -0.1.\nAnswer: -35616332013.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**5\/20 + 3*l**4\/4 - 2*l**3\/3 - 2*l**2 + 33*l. Suppose 3*n - 17 - 7 = 0. What is the units digit of o(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48340 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*g + 308 - 4994, -3*g + 4686 = 4*n. Suppose d - 3*b = g, -1996 + 438 = -d + 5*b. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i*k**5 + 13*i*k**3 - 2881*i*k - 22*k**3 + 15 wrt k.\nAnswer: 80*i*k**3 + 78*i*k - 132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1008) + 2*-5*sqrt(1008) - (5 + -4*sqrt(1008))) + -1)**2*4*-2.\nAnswer: 5760*sqrt(7) + 201888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0070969 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4333 a factor of 478362916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:01 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-2 + (sqrt(44))**2*6 + (sqrt(11) - (1 + -1 + sqrt(11))) + (4*(0 + sqrt(11)))**2)*-1.\nAnswer: -440 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, j: 5, a: 1, c: 1}. What is prob of picking 1 c and 3 y?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41446 (base 9) to base 4.\nAnswer: 12223023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j - k, 4*j - 7 - 4 = -3*k. Suppose -4*p - 9 + 25 = 0. Let o be p*7\/(-49) + (-8)\/(-14). Solve -4*h - 6 + j = o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 455 or 457?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1900) + 6*(1 + sqrt(1900)) + sqrt(1900) + sqrt(1900) + (1 + sqrt(1900))*-2)*3 + -2)*3)**2 + -3.\nAnswer: 37800*sqrt(19) + 7541997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5175*o - 1035. List the prime factors of y(-3).\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + (-11 + 1 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0*m**7 + 0*m**3 + 0*m**6 + m**2 + 0*m**4 + 1\/4*m**8 - 29 + 0*m + m**5. What is the third derivative of o(f) wrt f?\nAnswer: 5040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -3441011345?\nAnswer: 3441011351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177963 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Let r(c) = -44*c + 125 - 129*c - 124. Determine r(a(u)).\nAnswer: -173*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140*16.\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -62.73. Let f = 354.7338 + -355. Let d = u - f. Round d to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 - (2 + 1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 < 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.12617 rounded to one decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -243, -382, -559, -786, -1075, -1438, -1887?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - n + 10 - 11, -5 = 5*c + 5*n. Let u(z) = 2*z - 3. Let l be u(2). Let h = -4 + l. Sort c, h, -1.\nAnswer: h, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318392441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3037530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o + 6. Let c(v) = -v + 1. Determine 5*c(p) - d(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 10580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -635, -688, -829, -1100, -1543, -2200, -3113, -4324?\n\"Answer: -7*x**3 - 2*x**2 + 2*x - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from {l: 3, p: 2, u: 1, o: 2, j: 12}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/11, -3, -2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/85 or 62\/29691?\nAnswer: 62\/29691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let t = 165\/4 + -41. What is the third biggest value in 0.2, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10800 = 7598. List the prime factors of n.\nAnswer: 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113251 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose g = 2*z - 0*z + 6. Let q be (z + 4)\/(1\/3). Sort 2, -2, q in decreasing order.\nAnswer: q, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 7:13 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*2\/(-32))\/(4\/(-2))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-1159*c + 103832*c**4 - 103830*c**4 - 622*c).\nAnswer: -2*c**4 + 1781*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -134*u**3 + 2*u**2 - 12*u + 11. Determine y(1).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 5*m - 3*n - 976 = 0, -1936 = 4*m - 2*n. Let f = m + 487. What is the nearest to -1 in -1\/7, -0.03, f?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 18\/7 (b) 4\/29 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 244*c**2 - 238*c - 6.\nAnswer: 2*(c - 1)*(122*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a1 (base 11) to base 6.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = 17. Let o be 12\/(-36)*u\/4. Let l = 134\/3 + -43. Which is the second smallest value? (a) l (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/((-2)\/(-40)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36999166 and 41060.\nAnswer: 4106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/424 - 258\/53. What is the common denominator of m and 201\/(-9)*((-21)\/(-30) - 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1160 = 5*m, -3*q + 38*m - 33*m + 3540 = 0. List the prime factors of q.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(8))**2*-6 - (sqrt(7) + sqrt(7) + -3 + 3).\nAnswer: -42 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 40*a)*(-7*a**2 + 5*a**2 + 15*a**2 + a**2 - 2*a**2 + 2*a**2 + (0*a - 3*a + a)*(1 - a - 1)).\nAnswer: -640*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*i - 5 + 301, -3*i - 603 = -2*m. Let l = m + -280. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 14*h**2 - 7*h - 9. Let b(q) = q**3 - 13*q**2 + 7*q + 8. Let y(o) = -6*b(o) - 5*r(o). Let k be y(7). Sort -0.5, 0, k in decreasing order.\nAnswer: 0, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/2*j**2 + 15\/2 - 1\/2*j**3 + 29\/2*j.\nAnswer: -(j - 15)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56906876 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1213051, 2426106, 3639163, 4852222, 6065283?\nAnswer: 7278346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9645015 and 20955?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(6\/4)*-3. Suppose -4*v = -m - 155, 2*v + h*v = -5*m + 161. Let i = v - 24. What is the remainder when i is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1966562.7*-5\nAnswer: 9832813.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-6) + (-4)\/6. Let b be (0 + 1)*(q - 0). Solve -h + 0 = -5*k - b, 0 = -5*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 0*m - 2*m + 52, 4*m - 20 = -2*a. What is the greatest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1356 * -97196.\nAnswer: -131797776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-2)*132\/(-5). Suppose 0 = 2*s + 2*o - u, o - 1 = 1. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798433 is divided by 1660.\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*d - 5, 16*d - 20*d + 7 = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -465 divided by -93?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3206*g = -3207*g - 364. Is -3990\/11 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13610082 divided by -1011?\nAnswer: 13462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, x: 6, s: 4}. Give prob of sequence sssf.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4223 + -4209. Solve 9 = -3*z - x + n, 3*z - 4*x - 25 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*b + 4*q, -2*b - q + 8 = q. Suppose 3*p + 8 = 2*s, -3*p = -p. Suppose -s*k = -16 - 12. What is the least common multiple of b and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-9)*17\/(595\/(-14)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1116*p - 1386. Let o(l) = 2*l. What is f(o(r))?\nAnswer: -2232*r - 1386","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 543 divided by 3\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.982771 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r + 2. Let w be a(-5). Let y = 743 + -710. Calculate the greatest common divisor of w and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1403 - (5 - (2 + 3)). Suppose 0 = -3*p + 5*j + r, 2*p - 4*j - 930 = -6*j. What are the prime factors of p?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 14*d**4 - 5*d**3 - 51. Let h(u) = u**4 + u**3 - 1. Let c(g) = -5*h(g) - y(g). Find the first derivative of c(n) wrt n.\nAnswer: -76*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920121098?\nAnswer: 2, 13, 41, 863153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100000001110110011 (base 2) to base 12\nAnswer: 64497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2*f - 47 - 9, 3*h - 72 = -f. Let z = 96 - 91. Find j such that -12 + 4*j + 36*j - 43 - h - z*j**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = 2*s - 190, 2*s - 1567*k + 1566*k + 10 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -142*a**2 + 5*a - 5*a + 149*a**2. Let n(r) be the third derivative of r**5\/60 + r**2. Determine x(n(k)).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:57 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -234*0.1\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2+4198527084\nAnswer: 4198527086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -385163, -385164, -385165, -385166, -385167?\nAnswer: -385168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*q + 98*q + 276*q + 169*q + 24003 for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 9*t**4 + 7*t)*(3 - 7 + 2)*(2 - 2 - 1)*(5*t + 7*t - t).\nAnswer: -198*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 + (-135)\/18. Let p(o) = -o**3 - 7*o**2 - o - 7. Let n be p(q). Suppose -6 = -3*b - n*b. What is the highest common factor of 18 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -221543 equal to -221543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -2, 0, 1.6, -1.1, 3 in decreasing order.\nAnswer: 3, 1.6, 0, -1\/6, -1.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -59. What is the greatest common factor of l and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -202, 9 in descending order.\nAnswer: 9, 3, -7, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/92340 and -17\/3900.\nAnswer: 6002100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 7*m + 5. Suppose x + 3*x + 12 = 0. Let z be (x\/6)\/((-1)\/14). Calculate the remainder when 13 is divided by d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351515 and 36640?\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -558*c - 545*c + 68*c**2 - 20*c**2 + 1143*c in the form f*c**2 + x*c + g and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5652 and -0.4.\nAnswer: 5651.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -314*t**3 - 4*t**2 - 8*t - 4222. Let o(b) = -313*b**3 - 4*b**2 - 9*b - 4223. Let p(u) = 9*a(u) - 8*o(u). What is the derivative of p(s) wrt s?\nAnswer: -966*s**2 - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 7*q + 8. Suppose -w + 9 = 3*s - s, 15 = 5*s + 4*w. Let a be p(s). Solve -3*t = -a*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -1\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -9\/716?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 181305112 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2542917636?\nAnswer: 2, 3, 7, 10090943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is e78 (base 16) in base 15?\nAnswer: 116e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-8))\/(842\/3789*18\/16).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/640 and (10*(-112)\/(-6400))\/(-2).\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:02 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 84899232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from qzqnp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -12290 + 865. What are the prime factors of f?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44752 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1948.26562 from 26.\nAnswer: 1974.26562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39666978, -39666985, -39666994, -39667005, -39667018?\nAnswer: -39667033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 12) + 3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = a, 0 = -4*a + 3*i + 7 + 1. Suppose -a*t - t + 195 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 206?\nAnswer: 3914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 28. Let r be -1*((-4)\/z)\/((-8)\/12). Let h = r - 1. Solve -k + 0 + 5 = h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, v: 2}. What is prob of picking 3 b and 1 v?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14586224215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 4*a + 3. Let u be j(-3). Let r(q) = 3*q - 6*q + 3*q + u*q**2. Let n(h) = -2*h**2. Determine r(n(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7)*t*t**(4\/11)*t*t**(1\/2)*t\/t**(3\/19) assuming t is positive.\nAnswer: t**(-1377\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*l + 8 = 0, 5*l + 7 - 22 = -5*h. Suppose h*i = -7 - 9. Let a(q) = -q**3 - 5*q**2 - 4*q - 4. Calculate a(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1970\/7 - 281. Which is the third smallest value? (a) m (b) 1 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -18\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = 2*z - a, -2*z + 25 = -3*a. Calculate the highest common divisor of 20 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(0 + -1) - -4. Suppose o = i - 1. Let u = -3.8 + 3.6. What is the third biggest value in -0.06, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -257614\/129 - -1997. Do c and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + -4 + 0\/(-2). Suppose 5*q - 1034 = j*y, 2*y + 3*q = 4*y + 689. Let i = y - -650. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u. Let q(v) be the first derivative of -3*v**2\/2 + 287*v - 756. Give b(q(n)).\nAnswer: -6*n + 574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*u + 58, -2*u - 8*h + 3*h = -27. Let c = u - 17. Let l(n) = -n**2 - 3*n + 5. What is l(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11881, -7, -5, -2, 4, 5, 0 in ascending order.\nAnswer: -7, -5, -2, 0, 4, 5, 11881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2663181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2221 (base 3) to base 4\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + -2 + 5*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/6)\/14*3\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 5*i**2 + i + 3. Let b(t) = t**3 - 7*t**2 - 5. Suppose 3*c - c - 14 = 0. Let u be b(c). Give g(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1062, 1, -24.59, -0.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -27*p. Let a(o) = 1365 - 2*o - 1365. Give a(n(f)).\nAnswer: 54*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -45?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 12 = -8*c + 4*v, -2*c + v = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6425?\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2784 = 9887*f - 9800*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -37. Solve 0 = 4*p - 0 - j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619875723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 79*x - 1407. Let m(c) = -c**2 - 15*c - 7. Let o be 0\/(-3) - (0 - -10). What is the remainder when m(o) is divided by d(18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-57) - 544\/2508\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/4 - 1*3. Suppose -4*l - i*g = -92, -26 + 2 = -2*l + 3*g. 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: What is the value of -4 + 19 + -25 - (-2 + 3 - -19)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/24 + 11*h**3\/12 - 15*h**2\/2 - 111*h. Determine u, given that o(u) = 0.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 6*x - 9*x - 10 = 0, 0 = -t + x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568583, -568580, -568577, -568574, -568571?\nAnswer: -568568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + -200?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4\/4 - 807*z**3\/2 - 11199*z**2\/4 - 6381*z - 4779 = 0. Calculate z.\nAnswer: -531, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122758007.\nAnswer: 122758007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -264 + 267. Let a(u) = -5*u**2 + u - 2. Suppose 0 = -4*g + 116 - 108. Let l(r) = 6*r**2 - 2*r + 3. Give g*l(h) + p*a(h).\nAnswer: -3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15107.\nAnswer: 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 5*o - 36, 33 = -5*h - o + 65 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**5 - 6 + 6 + (15*m**3 - 3*m**3 + 0*m**3)*(2 + m**2 - 2) + m - m - m**5.\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8922764?\nAnswer: 2, 2230691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + a - 2)*(0*a + 0*a + a) + 2*a**2 - 2 + 2 + 2*a**2 + 0*a**2 - a**2 + 212*a**2 - 218*a**2 + 215*a**2.\nAnswer: 213*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110220 - -2212?\nAnswer: -102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 38*n**2 + 96*n + 1234. Give m(34).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 401843833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/5 + 144*h**3\/5 - 1054*h**2 - 64164*h\/5 - 58752\/5 = 0. Calculate h.\nAnswer: -96, -9, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/6)\/((-2)\/(-24)). Let h be k\/20 + (-105999992)\/10. Round h to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 z when three letters picked without replacement from {m: 1, z: 2, u: 1, r: 4, e: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 380550 and -834.\nAnswer: 379716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or -7?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*t - 4*t - 56*t.\nAnswer: -100*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1044a51a - 2?\nAnswer: 1044a518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03935 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*d**4 - 2*d**2*s**2 - 163*d*s**2 wrt d.\nAnswer: 396*d**2 - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 12. Suppose 0 = -2*u + 34 - 16. Is 13 a factor of k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from kkjkkkkjvkkjjk?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.1 (b) 5 (c) 34\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4 = -1. Let t(n) = 2*n**2 - 2*n - 48. Let p be t(-5). Let g be 8\/(-98) - 0\/p. Does q = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in -22, 0.3, 0.2, 0.1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14944176 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21797 + -21608. Solve -d = -14*p + 77*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = 20. Suppose -5*s + 7965 - 1035 = 0. Let v be (s\/(-8))\/(-11) - 1\/(-4). Solve i*u - v = -1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5\/8 - 15003*n**4\/8 - 9359919*n**3\/4 + 47235405*n**2\/4 + 620641377*n\/8 + 507465729\/8 = 0. What is n?\nAnswer: -2503, -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 - 48. Suppose -1595 - 888 = 13*q. Let y = t - q. What is the highest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Suppose m*j - 7*j + 75 = t, 3*j + 515 = 5*t. Suppose 7*x = 2*x + t. Solve -x = 4*a, 4*r - 2 - 18 = 4*a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 17*k. Let b(f) be the second derivative of -f**6\/240 + f**4\/12 - 9*f**3\/2 - 45*f. Let s(q) be the third derivative of b(q). Give a(s(m)).\nAnswer: -51*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/8 + 3*u**2 + 378*u. Let a(k) = -38*k + 19. Let s(r) = r - 1. Let b(j) = a(j) + 19*s(j). What is z(b(n))?\nAnswer: -57*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -6, -5, -4, -0.89, 21?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2272857*s + 141403 wrt s?\nAnswer: -2272857","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/71340 and -151\/1676490?\nAnswer: 3352980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2342, 9384, 21128, 37580, 58746, 84632?\nAnswer: 115244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4139 + -2141. Does 39 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 plus -0.11?\nAnswer: -148.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 89*j**4\/3 - j**3\/2 - 103*j**2\/2 - 174*j. What is the second derivative of l(w) wrt w?\nAnswer: 712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a - 1. Let n(r) = 237*r + 374. Let s(v) = -n(v) - 6*y(v). Differentiate s(z) with respect to z.\nAnswer: -189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1001, -187, -3.\nAnswer: -187, -3, 1001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10361377 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i - 2*i + 4*i)*(-3 + 0 + 2) + 5*i - i + 0*i)*(5*i - 2*i + 3*i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -267 - -417. Suppose k = 3*g - 177, 5*k + 97 = 4*g - h. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 551538 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -2 (b) 17 (c) 1\/8 (d) 5 (e) -1 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + -2*sqrt(242) + sqrt(242) + (sqrt(6)\/(sqrt(3) - sqrt(3)*1*-3))**2)*-2.\nAnswer: 11\/4 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.51 - -5.45. Put 3\/7, v, 2\/7 in descending order.\nAnswer: 3\/7, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1667815 is divided by 14015.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32631 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 - u + 2. Let a be (45\/(-18))\/(1\/(-2)). Suppose 2*g + 19 = -0*g + a*f, 0 = 4*g - f + 11. Calculate l(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let k be y(-4). Let w = -1 + k. Calculate the least common multiple of 10 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2423 + 11?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/2)\/z*z)\/z**(-2))\/(z**(-4)\/(z*z\/(z\/(z*z\/((z\/(z**(-8)*z*z)*z)\/z)))*z)) assuming z is positive.\nAnswer: z**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i + 17. Let j(a) = -2*a - 3. Let g = 16 + -22. Let o(n) = g*c(n) - 34*j(n). Let k(w) = -2*w**2. Determine k(o(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 12 = -3*x. Suppose 3*v = x*v - 3*i - 11, v - 7 = 3*i. What is the first derivative of -11*b**3 - v + 4*b - 4*b - 8*b**3 wrt b?\nAnswer: -57*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/(6\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(240)*1*-6 + sqrt(240)))\/((2*sqrt(144)*-1)\/sqrt(12)))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 388.7 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43730.0235 - -43829. Let y = 99 - o. Round y to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {o: 3, d: 5, c: 2, s: 10}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/428 and 69\/1712?\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105549818?\nAnswer: 2, 11, 53, 90523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -38. Is 7 a factor of (36\/24)\/((-2)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420882292.\nAnswer: 2, 105220573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 138 (b) 2 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, q: 2}. Give prob of sequence qq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(48) - (sqrt(4) + sqrt(100)*-1))\/(-2*sqrt(128)*-1).\nAnswer: 9*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27000144 divided by -13968.\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 66. Let z = 31 - 15. Let v = p + z. Calculate the greatest common factor of v and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -455420393*o**4 + 312688836*o wrt o?\nAnswer: -5465044716*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -2\/29, -2\/3, 20312\/9.\nAnswer: -2\/3, -2\/29, 0.4, 1, 20312\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**3 + o**2 - 2*o - 1. Let b(m) = -2113*m**3 + 172*m**2 + 8*m + 9. Let w(f) = -b(f) - 4*h(f). Find the third derivative of w(d) wrt d.\nAnswer: 12582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 3, u: 1, l: 2, f: 9}. What is prob of sequence buk?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 230873339 to the power of 1\/3, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 19232*l + 6330*l + 1.\nAnswer: -12902*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6086 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2399632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5703.459 centuries to millennia.\nAnswer: 570.3459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q**2 + 2*q + 1. Let f(z) = -z**2. Calculate b(w) + f(w).\nAnswer: -9*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = o + 8. Let n = -12 + o. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3268?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4911669 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: Express 3*w**4 - 5*w**4 + 339*w**3 - 333*w**3 + 0*w**4 - 2 - 2*w**2 as u + p*w**4 + i*w**3 + s*w + m*w**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -29, -47, -73?\n\"Answer: -4*w**2 + 2*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*p**4 - 2*p**2 - 105*p wrt p.\nAnswer: -156*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/54*-3*1\/((-8)\/40).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 2*p**2 - 2*p**2 + (4 - 1 - 1)*(2*p + p**2 - 2*p) + (-3*p + p + 3*p)*(0*p - 2*p - p) to q*p**2 + c + x*p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 560773119543 + -0.182.\nAnswer: 560773119542.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29412 - 29393. Solve 0 = k*u - 463 + 482 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 1965.\nAnswer: 35370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (2 + 2)) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 4:16 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t + 6. Suppose -9 = 3*d - 3*i, -t*d + 4*d + 3*i = 9. Suppose -u + d*u + 77 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)\/d**(-2\/11)*(d\/(d\/(d**(-4)\/d))*d)**1 assuming d is positive.\nAnswer: d**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -152*f + 386. Let m be u(6). Is m >= -526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -20411?\nAnswer: -20404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -17*l + 41. Let n(k) = -4*k - 2. Let b be n(-2). Calculate the remainder when o(-2) is divided by b\/(-4)*22\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146437 + 146448.0017. Let f = -14 + 3. Let o = f + k. Round o to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - p + 1. Let b(w) = 3*w**2 - 1236*w + 5928. Let z(l) = a(l) - b(l). What is the first derivative of z(y) wrt y?\nAnswer: 2*y + 1235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5*h**2 - 5*h. Suppose 2*f - 14 = 5*x, -52 = -2*f - 2*f - 2*x. Let q = f - 6. What is the units digit of t(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 268, 562, 848, 1120, 1372?\n\"Answer: -g**3 + 2*g**2 + 295*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43802854.044199723 + -43802854. Let z = -0.0442 + a. Round z to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 77\/8, -2\/89, 1, -10?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15394 = 15394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 174527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -493.376163 to one decimal place.\nAnswer: -493.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 2. What is the closest to 1\/3 in h, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00299 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2792*p**5 - 50229*p**4 + 158*p**2 + 2*p - 37500 wrt p.\nAnswer: 167520*p**2 - 1205496*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0.075?\nAnswer: -3.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-720)\/(-70))\/(-9)*(-28)\/12\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38951 - 38929. Let j be (0 + -1 + -1)*1. Let s = j - -6. What is the smallest common multiple of p and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 3 + -1 + -319 + 339\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -425253.\nAnswer: -425250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -6. Let k be (-2)\/4*w - 6. Let o(y) = -y**2 + 7*y + 19. Let l be o(9). Which is the second smallest value? (a) k (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 25*r - 244. Let y(n) = -n**2 + 3*n - 1. Let w(x) = v(x) + 3*y(x). What is the derivative of w(o) wrt o?\nAnswer: -2*o - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 14. Let a = -9 - -20. Let k = h + a. What is the second smallest value in -2\/11, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 6*d + 3. Is 3 a factor of y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8431646.\nAnswer: 2, 73, 57751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 27. Let d be w(14). Do 2\/33 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 16549*l**2 - 16571*l**2 - 5*l.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.111442m?\nAnswer: 3111442000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:19 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(9\/12*12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -53, -203, -539, -1145, -2105, -3503, -5423, -7949?\n\"Answer: -14*u**3 - 9*u**2 - 25*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - (-16 - -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 87, -1431, 0 in descending order.\nAnswer: 87, 0, -3, -1431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1581*w**2*y**2 - w**2*y + 559572*w**2 - 13*w*y**3 with respect to y.\nAnswer: 3162*w**2*y - w**2 - 39*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-12) + (-3)\/(-2). Suppose -2*q + 5 = 3*z - 2*z, 0 = -4*z - t*q + 20. Suppose w + 6 = z*b - 3*b, 5*b - 3*w - 14 = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g - 40. Let f be x(4). Let r(q) be the second derivative of 0*q**2 - 3\/20*q**5 + 1\/4*q**4 + 1\/2*q**3 - 1\/10*q**6 + f + 4*q. Factor r(u).\nAnswer: -3*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -1\/3*g**3 + 2*g - 1 - 1\/2*g**2. Let o be p(-2). Solve o = -c + 6*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 4. Let m be q(-3). Suppose 0 = z - 2*z. Let x(w) = 0*w - 6 + z + 1 - w. What is x(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1772, -1789, -1832, -1913, -2044?\nAnswer: -2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(4\/23))\/i))\/(i\/(i**(1\/2)*i)) assuming i is positive.\nAnswer: i**(61\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 823\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.1 (b) -2\/3 (c) -1.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 0)*3 + -3*(sqrt(99) + 0) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -596752, -1193505, -1790258?\nAnswer: -2387011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12498196297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 4:37 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/((-16)\/4) + 5. Suppose 5 = f*p + 8. Let o be p\/(-4) + 6\/(-24). Solve q + o*q = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 233\/108525690 and -53\/630.\nAnswer: 108525690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.29 - 2.5. Let q = -3.21 - h. Let j = -0.1 + 0.2. Which is bigger: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = 5*l. Suppose l = 12*j - 8*j - 36. Calculate the remainder when 25 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32845800 divided by 273715?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a. Suppose 3*u - 7 = -2*w - 1, 5*u + 4*w - 10 = 0. Let t(m) be the second derivative of 0*m**3 + 0*m**u + 0 - m - 1\/3*m**4. Calculate t(f(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.18+0.029375871352\nAnswer: 0.209375871352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14534*k**2 - 406949*k - 81. What is f(28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49612482 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 72*x - 14. Let n(r) = -203*r + 40. Give -8*f(k) - 3*n(k).\nAnswer: 33*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:58 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23347 - 23301. What is the highest common divisor of k and 2714?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 5*m + 6. Let h be y(3). Suppose -2*d = -h*d + 371. What are the prime factors of d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.74, 1\/5, 5, 0.11 in ascending order.\nAnswer: -3\/4, -0.74, 0.11, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - -2.4. Which is the nearest to 0.1? (a) -2 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggd when three letters picked without replacement from {d: 1, y: 2, g: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 86*x**2 + 10 - 39 - 818*x**2 - x.\nAnswer: -904*x**2 - x - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/42 - 2377\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 600 = -13*v. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 31*g**2 + 61*g - 54. Determine k(29).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/16208055 and -121\/762732.\nAnswer: 64832220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -1674, 1\/16, -3, -1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(36)\/sqrt(4)))\/(sqrt(40)\/(sqrt(10)*-2) - sqrt(4)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2572*s**3 - 17*s**3 + 65*s**3 + 129*s**3 + 2 to l*s + x + t*s**3 + m*s**2 and give t.\nAnswer: 2749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**3\/3 + 5*n - 12. Let z be i(0). Solve -z*h - 4 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 445 = 11*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 12*f + 4 = 0. Let s = -152 - -169. Calculate the remainder when s is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 + 2*y**2 + y**2)*(91*y**2 + 399*y - 399*y) + 5*y**4 + 0*y**4 - y**4 in the form v*y**2 + f*y**4 + m + u*y + j*y**3 and give f.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 198.7 + -199. Which is the closest to -2\/7? (a) 3 (b) s (c) -2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94370 is divided by 379?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2676238\/1875 + 4282\/3. Is 0 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130.4368 + -1.4332. Let t = -131 - o. Round t to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 6 = -2*a, 1033 = -4*y + a + 1016 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.9 * 1106.\nAnswer: 9843.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmayyaamamnyaydmnvaa. What is prob of picking 1 v and 3 y?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(4\/3))\/(k*k**(-6)))\/(((k*k*k\/((k*k**(1\/6))\/k))\/k)\/k*k*k**(2\/7)))\/(k**(-3)*k*k**4)**(-39) assuming k is positive.\nAnswer: k**(3425\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 45?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53775 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23205 (base 7) to base 2.\nAnswer: 1011100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 573 = -11*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 15\/4 of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74498942 is divided by 74498931?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000643 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*0.216\nAnswer: 0.03672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k + 3*t + 22, -3*k - 4*t + 7 = 0. Suppose 2*d - k = -d. Suppose 0 = d*y + 32 - 86. Calculate the highest common divisor of 54 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/186 and -119\/636?\nAnswer: 19716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -488, 0.5, -1 in decreasing order.\nAnswer: 2, 0.5, -1, -5, -488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -133, -3, 2\/15 in descending order.\nAnswer: 0.3, 2\/15, -3, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*g**3 + 18*g**3 + 7*g**3 + 16*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -20*(7 - -8)\/60 + 7\/21*24. Solve -6\/7*a**r - 12\/7*a - 15\/7*a**2 - 3\/7 = 0 for a.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 61*c**2 + 845. What is j(61)?\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -16540, -61086, -147828, -290830, -504156, -801870, -1198036?\nAnswer: -1706718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = b + 292 + 390, 2*f = 5*b - 352. Let n = 175 + f. Solve -n*x = -2 - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/45)\/(-1 + 7\/5). Let v(x) = 2*x**3 + 5*x**2 - 3*x - 5. What is v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -128. Let a = f + 93. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3918, -7855, -11792?\nAnswer: -15729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28196 or 15?\nAnswer: 28196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -66 (c) 69662\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28610.\nAnswer: 2, 5, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-3)\/(-120))\/((-203)\/(-4466))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 + 0 + 0)*(-3*h - 3*h + 23 - 22).\nAnswer: 6*h**5 - h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3506*m**3 - 1638*m**2 - 2185*m**3 + m - 2*m + 1638*m**2.\nAnswer: -5691*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*d - z + 15 - 66, 5*d + 50*z - 45*z = -5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(405) - sqrt(405)) + -1 + sqrt(405) + ((sqrt(405) + -3 - sqrt(405)) + 4 + sqrt(405) - sqrt(405)))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 u when four letters picked without replacement from pxpupuppu?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + i**2 - 17. Let y be w(0). Let c = 24 + y. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 16272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/21707576 and -23\/86830304.\nAnswer: 86830304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 1.15?\nAnswer: -0.1035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/16*(-3 - -1). Suppose -3*u + 1 = 4*l + l, 0 = -2*u - 5*l + 4. Let o(m) = m**2 + 19*m - 27. Let k be o(-20). Sort 3, k, u, a.\nAnswer: k, u, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (44 - (12 - 6))*14. Suppose q - 2*q = -2, 0 = 5*l - 4*q - x. What is the remainder when 429 is divided by l?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(2\/9))\/t**(-2\/19)*t**4*t**(4\/9))\/(t**(1\/2)\/t**(-2)*(t*t**(3\/4)*t)\/(t*t**(-6))) assuming t is positive.\nAnswer: t**(-793\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = 0, -2*c = -4*c + 5*y + 7585. Round c to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.55 + -0.45. Let y = -35 + r. Let c = 53 + y. What is the third smallest value in -1\/5, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + -25076?\nAnswer: -25125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -287798 - -2?\nAnswer: -287796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0774 - -1.7226. Which is bigger: w or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15707?\nAnswer: 113, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/30 + 4*j**2. Let r(q) = -9*q. What is r(a(t))?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 300*k. Let v(z) = -z. Give i(v(a)).\nAnswer: -300*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -434857101 - 1717?\nAnswer: -434858818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43431, -86960, -130489, -174018, -217547, -261076?\n\"Answer: -43529*d + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 8*t + 17. Let o be q(-7). Let i(g) = -2*g**2 + 14*g + 1. Calculate i(o).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/9))\/k*k*k*k)\/k*k**1*k*k**(-1\/7)\/k*k*k*k**(-2)*k)\/((k**0\/k)**45*(k**(-2)\/k*k)\/(k**(-6)\/k*k)) assuming k is positive.\nAnswer: k**(2840\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -24.26 and -1577055161.\nAnswer: -1577055185.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -185.8 + 151. Let y = -40 - h. Let i = 5.1999991 + y. Round i to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 - 4 = 0. Suppose 0*c = c - m. What is the remainder when 6 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1242.996 decades to millennia.\nAnswer: 12.42996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(11\/(-11))\/9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41033 (base 5) in base 7?\nAnswer: 10464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23710047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 882.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1 and -1.1?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 12*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 + 53*z**4 - 103*z**3 + 51*z**2.\nAnswer: -z**2*(z - 51)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120221 - 1111112?\nAnswer: -10002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*t**3 + 385*t**2 + 26*t - 3581643 wrt t.\nAnswer: 42*t**2 + 770*t + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175 by 27.\nAnswer: -175\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310697931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 89 divided by 9\nAnswer: 89\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 151.2578484 and -1?\nAnswer: 152.2578484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3\/4)*n*n**(-4))**(-3\/22)*(n**5\/(n*n**1*n*n))\/(n**(-2\/5)*n*n**(-4)) assuming n is positive.\nAnswer: n**(2011\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-243)\/1053 - 594\/130)*(-135)\/12\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - a - 2)*(4*a**3 + a**3 - 2*a**3)*(18 - 12 - 2)*(1628*a - 2 - 806*a - 812*a).\nAnswer: -120*a**5 + 24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -361*g**3 + 11*g**2 - 7024.\nAnswer: -1083*g**2 + 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1\/6 (c) -6\/71587 (d) -2 (e) -4 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22855348 + 5?\nAnswer: 22855352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m - 4*m + 63*m**2 + 4*m + 2*m**3 + 4*m**3 - 5*m**3 to the form k + q*m**3 + w*m + h*m**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/83)\/p*p*p)**15\/(p*p**(-5\/3)*p)**(-6) assuming p is positive.\nAnswer: p**(1441\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d + 5. Suppose -2*l = 0, d*c - 4*l - 4 = -0*c. Let k = c - 0. Is k bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 2*y**2 - 4*y. Let s(i) = -7*i**3 + 3*i**2 + 10*i - 1. Give 5*b(u) + 2*s(u).\nAnswer: u**3 - 4*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8? (a) 0.4 (b) 105 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3. Let v(j) = 353*j**2 + 5295. Determine -5295*l(w) - 3*v(w).\nAnswer: -1059*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9116119*r**3 - 24962536 wrt r?\nAnswer: -27348357*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 2953151*q - 2953164*q + 15*q**2 - 7.\nAnswer: 13*q**2 - 13*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13987 is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*h = -3*v - 31, -140 = -4*v - 4*h. Calculate the greatest common factor of 180 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f - 1. Let c(v) = -v**3 - 5*v**2 - 1. Let x be c(-5). Let b be y(x). Solve b = -2*m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 1012494.\nAnswer: 91124.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 450 - 480. Suppose 75 = -3*d - 0*d. Let r = t - d. Which is bigger: r or -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = 2*v + 10, -v + 4*u = -21. Suppose -d = v*d. Solve 1 = -r + 5*j - 4*j, d = 5*j - 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - (10 + (12 + 6 + -19 - 12) + 11).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q + 33*q + 28*q + 2*q.\nAnswer: 85*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 9:15 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6935 and -0.4?\nAnswer: -0.2774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1648 by -18507.\nAnswer: 1648\/18507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/952 and -89\/1292?\nAnswer: 18088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*h + 9, -5*y + 4*h = 47. Let t = 7 - y. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-105015)\/25*-5 - -2. Suppose -17*l + 12*l + s = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 + 88 - 6*m)*(-5*m**3 + 3*m**3 + 0*m**3)*(-66 + 28 - 17).\nAnswer: -660*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 1. Let x(k) = -3 - 10 + 3 + 2 + 9*k. What is -24*s(j) - 3*x(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:18 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-96)\/(-55) - (-82 + 191330\/2332)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let s(q) = -6*q - 3. Let g be s(-8). Let b be 1 + g\/(-35) + 150\/35. Determine h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 22c3a?\nAnswer: 22c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2\/9*b**4 + 2\/9*b**5 + 0*b**3 + 0 + 0*b + 0*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -6, 0, 4, 22, -3, 14 in ascending order.\nAnswer: -24, -6, -3, 0, 4, 14, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -3, -4*f + 672*i - 667*i + 13 + 8 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 22*p - 36 = 0. Let c = 0.31 + -0.01. What is the smallest value in p, -2, 4, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one eighths of a centimeter?\nAnswer: 63750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/81 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980019211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 910 and 1430.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p - 13 = -54 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475998?\nAnswer: 2, 3, 79333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 478874067.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 2 (c) 1 (d) 17\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -4\/9, -989, -11.6?\nAnswer: -989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 26*t**2 + 46*t - 272. Let u be b(-28). Calculate the greatest common factor of 10828 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10397047 + 2170447. What is m rounded to the nearest ten thousand?\nAnswer: -8230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 19*q**2 - 22*q + 43. Let s be a(20). Let w(n) = 2353*n + 4. Is w(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 - 1. Let v be z(1). Let f = v + -6. What are the prime factors of 17 + (0 - 0 - f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -859761, -1719522, -2579283, -3439044, -4298805?\nAnswer: -5158566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -62. Put 34, -4, w in decreasing order.\nAnswer: 34, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -59?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15414 and 18375?\nAnswer: 13487250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5499, -4573, -3659, -2763, -1891, -1049?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -33. Suppose t*n + 3112 = -r - 0*r, 3*n = -3*r - 2325. Let b = n + 1428. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683*o + 79858 + 6200 = 0 for o.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + (sqrt(324) - (sqrt(324) - sqrt(324)*-2 - sqrt(324) - sqrt(324))))\/(sqrt(12)*-2*-5) + (-2*sqrt(147) + -4)*-3.\nAnswer: 12 + 423*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 59\/(50\/92 - 16\/32). Suppose -6*y = 445 - s. Calculate the remainder when y is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 - 136*c**2 - 264*c + 5. Determine y(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -529810800 divided by 6\nAnswer: -88301800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.013, -2, 2\/13, -1\/3?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1172?\nAnswer: 1\/1172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 greater than 326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 3*j + 4406*j**2 + 10006*j**2.\nAnswer: 14412*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/7 and -115\/532.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47872\/2787 bigger than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.44983 nanometers in micrometers?\nAnswer: 0.03944983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 580, 1\/3, 0 in ascending order.\nAnswer: 0, 1\/3, 580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*z + 52 = 0, 4*z - 13 - 44 = t. Let u = t + 130. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzzi when four letters picked without replacement from {n: 1, i: 1, z: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m = m. Let u(y) be the second derivative of -1\/20*y**5 + 0 + 1\/2*y**3 + 0*y**4 + y + m*y**2. Find the second derivative of u(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 3*o**2 + 4*o. Let x be l(-4). Let b = -2 - x. Let r(q) = -2 - 2*q**2 + 3 - 2*q**3 + q**3 - 2*q. Determine r(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**3 + 7*d**2 - 11. Let c(l) = 2*l**3 + 3*l**2 - 5. Let z(j) = 7*c(j) - 3*f(j). What is z(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -120*o**3 - o**2 + 2*o - 1302. Let b(p) = -119*p**3 - 2*p**2 + 3*p - 1293. Let l(y) = -2*b(y) + 3*q(y). Differentiate l(u) with respect to u.\nAnswer: -366*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -44\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58168, 232778, 523794, 931216, 1455044, 2095278?\n\"Answer: 58203*v**2 + v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 92.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 17 (b) -2 (c) 2149\/9 (d) -0.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8 - 17*b + 51*b - 24*b. Is l(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5031 and 389064.\nAnswer: 1167192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**3 - 2*i + 1. Let m be f(1). Factor 27*o + 6 - 22*o + 9*o**4 - 4*o**m - 5*o**3 + 4 - 15*o**2.\nAnswer: 5*(o - 2)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.085 - -0.13. Round c to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + a. Let n(u) = 15*u**2 - 4*u - 2. Let j(l) = 4*d(l) + n(l). What is the first derivative of j(t) wrt t?\nAnswer: 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (5 - (-6 - -12)) - 8\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2410.090733 to 0 dps.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 319 + -239. Let y(q) = q**3 + 7*q**2 + 2*q + 8. Let l be y(-6). Calculate the highest common factor of l and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41384245 rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7059?\nAnswer: 3, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2.678, 2, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 422440494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1136 and 20.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**3 - 9*t**2 + 44*t - 53. Let j(h) = 5*h**3 - 5*h**2 + 24*h - 26. Determine -11*j(u) + 6*r(u).\nAnswer: -u**3 + u**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 578721 and 286.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 77?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(187)\/(sqrt(11)*-3) + (sqrt(68) + sqrt(68)*1)**2*4.\nAnswer: -4*sqrt(17)\/3 + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.022, -9, -0.001, -1, 0, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*v**5 + 584955*v**4 - 15592760*v**3 + 91489720*v**2 + 56153040*v + 8207600 = 0 for v.\nAnswer: -2414, -2\/7, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 1915 - 1935 = -i, 172 = -19*q + 4*i + i for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 657014?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:34 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 72, 78, 96, 132, 192, 282?\n\"Answer: b**3 - b + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001451698 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 44 = 2*b, -5*b - 64 - 54 = -2*o. Let g(w) = -w**3 - 8*w**2 - 8*w - 4. Let s be g(-7). Let u be (3\/(-6))\/(s\/b). Sort -9, u, 5 in decreasing order.\nAnswer: 5, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1019, -2050, -3083, -4118, -5155, -6194, -7235?\nAnswer: -8278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2. Let y(h) = 19*h - 2. What is j(y(o))?\nAnswer: 722*o**2 - 152*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36928 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 5*v - 1. Let d(t) = t**2 + 9*t - 4. Determine 4*d(l) - 7*h(l).\nAnswer: -3*l**2 + l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176108879 is divided by 376301.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955 + 170 = -150*y + 415 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-486)\/(-8) - 2\/(-2). Let i = -62 + k. Let b be (2 - (-1 - -2))\/1. Is b greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927996688.\nAnswer: 2, 461, 125813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 12. Let q(w) = t - 3 + 0*w**2 + w**2. Is q(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 1 + 2 + 14. What is the second derivative of i*t**5 + 0*t + t - 20*t**5 wrt t?\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u - 10*u + 2*u**4 + (4*u**3 + 2*u - 2*u)*(4*u - u - 4*u).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 948\/(-26) - (172 + 44840\/(-260))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghpcpggccggccgttcc. What is prob of picking 2 p?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -15*w - 241. Let l be a(29). Let y = -661 - l. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/2)\/(9\/(-12)). Let h = p + 7. Suppose 2*q - 4*t - 601 = 821, h*t + 2856 = 4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 552 - 364. Let d = v - 10. Which is smaller: 2\/5 or d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222.46 - -210.\nAnswer: -12.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3\/2 - 13320*a**2 + 159678*a - 478872 = 0.\nAnswer: 6, 8868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 216811005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45344, 90941, 136538, 182135, 227732, 273329?\nAnswer: 318926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/3)*z**(-4\/7)*z**(-2\/33)\/(z\/(z\/z**(-5))) assuming z is positive.\nAnswer: z**(362\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24714.0855 + -0.1.\nAnswer: 24713.9855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.432, 5, -14, 9\/16, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*v + 144*v + 154*v + 147*v - 430*v.\nAnswer: 156*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l + 3 - 5 + 3*l**2 + l**3 + 3. Let g(y) = -y**2. Let c(p) = 6*p**3 + 19*p**2 - 23*p + 6. Let f(j) = c(j) + 2*g(j). What is -6*f(k) + 34*h(k)?\nAnswer: -2*k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*w = -287*w - 10605. Calculate the highest common divisor of w and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 140 = r. Suppose r*j = 15*j + 545. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*p + 61*a**2*r - 4*a*p*r - p*r wrt p.\nAnswer: -a**2 - 4*a*r - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 913*v**2 - 1825*v - 16. Determine l(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2516 - -2530. Solve -11 = 4*f + p + w, -5*f + 4*p - 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 8*c. Let g be w(-6). Let q = -2 + g. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5819, 23508, 53079, 94532, 147867?\n\"Answer: 5941*r**2 - 134*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 3. Let z(n) = n - 2. Let g(m) = -2*f(m) + 3*z(m). Let o(q) = 3*q**2. What is g(o(h))?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 g when four letters picked without replacement from {s: 3, g: 4, l: 4, q: 6}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**3\/5 + 1296*c**2\/5 + 522*c + 1308\/5.\nAnswer: -6*(c - 218)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 278489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.15 (b) 1 (c) 0.4 (d) -1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 19. Solve -u = -i*x, u + 2 = x - 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149868367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 2145773465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-37)\/(-296) + 15\/40. Let x be (-1)\/(-3) + 7\/(-3). Let h = 4.5 - 4.2. Which is the third smallest value? (a) i (b) x (c) h (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Let x = -29 + 48. Suppose -4*h = -0*h + k, -3*h = d - x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:52 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from {j: 1, w: 7, c: 3, f: 1, u: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1343 and 7769?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Let y be (0 - 0) + (-6 - i). Let k = y + 9. Which is the biggest value? (a) k (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = 177*f - 876 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(16)\/sqrt(4)*6))\/(sqrt(45)*4*6).\nAnswer: sqrt(5)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27121106.\nAnswer: 2, 73, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30924 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8)*(-12)\/2 - -5. Let q = 119\/183 + 1\/61. Which is the nearest to q? (a) d (b) 2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129377500 by -924125.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2244550 by -121.\nAnswer: 18550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 2. Let q be (-12)\/f*40\/6. Let i be 3\/6*q\/(-14). Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/1)\/(6\/(-2))*5)\/((-1934)\/104436).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*d**3 - 160*d**3 - 1238*d**3 + 226*d**3 - 368*d**3 - 43*d**3.\nAnswer: -1365*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 7*j - 23. Let w be r(-2). Let a(s) = -s**3 + 1 + 0 - 2*s**2 - 6*s + 4*s. What is the remainder when a(w) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + b. Let o(l) = 18*l + 19*l**2 + 28*l**2 - 11*l**2 - 12*l + 18*l. Determine o(k) - 24*x(k).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a - 3. Let t(b) = 5 + 0*b - b - 6*b. Let c(o) = 3*t(o) + 5*u(o). Let i(r) = -r**2 - r**2 + r**2. Determine i(c(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = -4*b + 19, 5*y + 3*b = 68. Solve -5*q + y*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -126, 17, 162, 309?\n\"Answer: n**2 + 140*n - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:21 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211010002210 - 11?\nAnswer: 211010002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, h: 2, p: 1, l: 4, y: 1, q: 5}. What is prob of picking 1 y, 1 j, 1 h, and 1 q?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -3. Suppose -4*r + 172 = f*d, -2*r = -d - 2*d - 76. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (4 - 3\/2). Suppose 5 = o + 4. What is the smallest value in 0.5, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 22*i - 5\/2*i**2 + 14. What is the derivative of t(l) wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14944.88+-172\nAnswer: 14772.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7683739337 to the nearest integer?\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.256.\nAnswer: 0.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303 and 98038175?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 46.6 + -14278547623\nAnswer: -14278547576.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40250122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -181\/481 smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*l - 306*l + 616*l = 1421. What is the highest common divisor of l and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1112868 + -1828\nAnswer: -1114696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71126 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*d - 29*d. Let p = -0.06 - 2.94. Let t = p + 3.4. Which is the closest to 1? (a) -2 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21244789 rounded to 4 dps?\nAnswer: 0.2124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*12\/8*2. Suppose -43*i + 46*i + 84 = 0. Sort i, -2, b in ascending order.\nAnswer: i, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - m**2 - 3*m + 2. Is x(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1615 divided by 85.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*g = 2977 + 29147, 5*g = -z - 8031. Let c = 13610 + z. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1216 + -293. Suppose 3*n - 4*n + v = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11310 and 205842.\nAnswer: 1029210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-811 + 6888 - 229 + 2184)*(-2*a - 1 + 1).\nAnswer: -16064*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2751 - 2752. What is the closest to j in -0.1, -1\/4, -4\/7, 234?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 1 - 9. Let r = 12 + -5. Suppose r = 2*m + 5. What is the highest common factor of m and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103302 is divided by 132.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -477769, -477772, -477783, -477808, -477853, -477924, -478027, -478168?\n\"Answer: -v**3 + 2*v**2 - 2*v - 477768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2827 and 79413?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 10. Let a be 4\/j - (-5 - 2). Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:18 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 439 - 418. Suppose 0 = f*a - 19*a - 8. Sort 2, 24, a.\nAnswer: 2, a, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 8:29 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5760485cm to micrometers.\nAnswer: 5760.485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*s - 109 + 61 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7639 (base 12) in base 5?\nAnswer: -404010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*p - 60*p + 4 = 0. Suppose 2*r - p*r = -n, 2*r - 12 = -2*n. Let y be (5 - (n - -1))*1\/1. Sort y, 1, 6 in ascending order.\nAnswer: y, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 9*u + 11. Suppose -50 + 0 = 5*v. Suppose x = 3*x - 2. Calculate the remainder when g(v) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9584715553 + 0.18\nAnswer: -9584715552.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -82952336 less than 0.2?\nAnswer: 82952336.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.017 and -883.\nAnswer: -882.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2428549 and 2428548 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**6\/300 - x**5\/150 - x**4\/60 + x**3\/15 + 2*x**2 + 5*x. Let j(z) be the first derivative of o(z). Solve j(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002696076 rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -223\/151885?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Let w(f) = -2*f + 102. Give 4*r(i) + w(i).\nAnswer: 2*i + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**2 + 9*t + 11. Let r(b) = b + 5. Let i be r(0). Let o = i - 1. Suppose o*j = j - 18. Let m(k) = -8*k**2 - 4*k - 5. Give j*u(s) - 13*m(s).\nAnswer: 2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -267\/17 <= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 82*m + 1240.\nAnswer: (m + 20)*(m + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 3. Let q be d(-1). Find the third derivative of 1103*x**3 + 2*x**2 + 2*x**4 - 1104*x**3 + x**q - 4 wrt x.\nAnswer: 72*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636607703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a, 3*a + 3 = 2*m - 5*m. Suppose 2*f - 7 = -v, 0 = v - 0*v - m. Let b(s) be the second derivative of s**4\/12 - s**3\/2 - s**2 - 3*s. Give b(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277 times -3?\nAnswer: -6831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(b\/((b\/(b\/(b**(1\/2)\/b)))\/b)))\/b)**(-46)*(b**(6\/7)*b)\/b*((b**(-5\/2)*b)\/b)\/b*b*b*b)**(-29\/4))**(-15\/8) assuming b is positive.\nAnswer: b**(422385\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 39601*d**2 - 33445*d**2 + 13)*(3*d**2 - 4 - 2*d**2 + 2).\nAnswer: 6156*d**4 - 12312*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, y: 1, i: 1, s: 3, o: 10}. What is prob of picking 2 o and 2 r?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/188 and 17 - (-459)\/(-68) - (1 + -4).\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -366088000 to the nearest 1000000.\nAnswer: -366000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 6*r - 3*r + 120, -5*m + 194 = r. Differentiate -19 - 19 + 2 - 12 + m*h**3 with respect to h.\nAnswer: 117*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2334 (b) 9863\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovv. Give prob of sequence vv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -b1472 (base 15) to base 9\nAnswer: -1044808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863 - 537 = -7*a. Let k be a*(-2 + (-70)\/(-25)). What is the greatest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(4\/20)\/1. Let f be -288 - (x + 1 + 1). Let u = f + 538. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-808))\/((-39)\/52).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62757595?\nAnswer: 5, 29, 443, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5\/3 + 44*m**4 + 259*m**3\/3 - 44*m**2 - 260*m\/3 = 0.\nAnswer: -130, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 2*r**2 + 2*r**2. Let x(i) be the third derivative of 0 + 0*i + 0*i**3 + 1\/24*i**4 - i**2. Determine k(x(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {b: 11, m: 1, g: 1, k: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -265143.3 + -0.2?\nAnswer: -265143.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 876149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 6}. Give prob of picking 1 h and 2 y.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6730 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171012, -341914, -512816?\nAnswer: -683718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60963 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlu when three letters picked without replacement from zmumllzlmcclml?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6815, 6838, 6899, 7016, 7207, 7490, 7883, 8404?\n\"Answer: 3*f**3 + f**2 - f + 6812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12227094 by 679283.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdiy when four letters picked without replacement from {y: 3, f: 2, z: 3, d: 2, n: 2, i: 4}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12202101221 (base 3) to base 4\nAnswer: -123222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by -76\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58.04806 - -0.04806. Which is the nearest to 0.1? (a) u (b) 2 (c) -2\/23 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/29))\/q**(-1\/7)*q*q**(1\/13)*q*q**(2\/13))**(-7\/13) assuming q is positive.\nAnswer: q**(-9085\/4901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + x - 7, -h + 8 = 4*x + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -15*g**2. Let u(n) = 3388*n**2. Determine l(u(x)).\nAnswer: -172178160*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.52 + 0.48. Let g = -74.4 - -104.88. Let w = g - y. What is w rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9569675 to the power of 1\/2, to the nearest integer?\nAnswer: 3093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3 - 281056*j**2 + 9874059392*j = 0.\nAnswer: 0, 70264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 2*a**2 - 2*a + 3. Let i be s(-3). Suppose i = -4*n + 4 + 4. What is the remainder when n is divided by 2\/(-2)*0 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 21*v**2\/2 + 7*v - 2. Let r be z(8). Suppose 3*i + r = 8*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 7*s - 9. Let v be a(-4). Let d = 3.5 - 3. What is the closest to 1\/4 in v, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1027, -1023, -1015, -1003, -987?\n\"Answer: 2*v**2 - 2*v - 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0*k**3 + 0*k + k**3 - 6 + 3*k + 6*k**2. Let u be b(-5). Suppose 0 = 5*c + u*g - 25, c - 20 = -3*c - g. Let r(f) = -f**2 + 6*f + 2. What is r(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2207 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*b + 13081, -9*b = -12*b + 4*l + 13075. Suppose 107*r - 100*r = b. List the prime factors of r.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1420000*a**3 + 3*a**2 + 3*a. Let q = -42 - -41. Let i be y(q). What is i rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 15 = -0*t - 3*v, 0 = 3*t - 5*v + 22. Let l(f) = f + 13. Let r be l(t). Suppose r*k - 3*k - 5 = -5*w, -3*k + w = -95. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*w**2 + 196*c**3 + 5*c**2*w**2 + 5*c**2*w + 1 wrt w.\nAnswer: 2*c**3*w + 10*c**2*w + 5*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 324 = -2*k - 171, 0 = -2*s + 5*k + 341. Find the third derivative of -44*j**2 + s*j**5 - 6*j**2 - 52*j**5 wrt j.\nAnswer: 6660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - y**2 + y. Let v(i) = -4*i**3 - 6*i**2 + 5*i + 1. Let f be (9 + 0)\/(-9) - (-1 - -1). Calculate f*v(w) + 5*k(w).\nAnswer: -w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.003 + 0.203. Let k(d) = d**2 - 4*d - 4. Let u be k(-1). Put 5, q, 3, u in ascending order.\nAnswer: q, u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75387438?\nAnswer: 2, 3, 7, 41, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 25783*d**2 - 6*d + 14. Is c(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45*((-12)\/(-15) - 1)*-3. Suppose -r*l - 548 = -23*l. Let x = l - -317. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**5\/20 - 7*w**4\/12 + w**3\/6 - 2*w**2 + 8*w. Let q be d(7). Which is the nearest to -1\/4? (a) 0.2 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5 - 7*j**3 + 4*j + 2*j**2 + 12*j**3 + 0*j**3 - 6*j**3. Let r(o) = o**3 - 3*o**2 - 5*o - 6. Determine -4*r(z) - 5*y(z).\nAnswer: z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhjwani. Give prob of sequence ji.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k + k**3)*(0 + 0 - 3*k**2 + (0*k - k - 2*k)*(3*k - 4*k + 2*k) - 3*k**2 - k**2 + 2*k**2) - 5*k + 2*k**5 + 5*k.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 0*w**2 - w**2)*(22*w - 13 + 13).\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*w**2 + 0*w + 0*w)*(1 - 1 + 2)*(-51*w**2 - 74*w**2 + 36*w**2) in the form q*w**3 + v*w**2 + s*w**4 + b*w + h and give v.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3756864*k**2 - 17888933?\nAnswer: 7513728*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 12) to base 7.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 5. What are the prime factors of 10\/1 + 15\/k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -23767*c - 2305407. What is d(-97)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.5 - -12. Let i = -12 + 34. Let l = i + -26. What is the nearest to 0.3 in l, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 55*o**2 - 15*o - 15. Let z = 137 - 136. Let f(g) = -4*g**2 + g + 1. Let u(l) = z*n(l) + 15*f(l). Let y(j) = 3*j + 14. Determine y(u(s)).\nAnswer: -15*s**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 < 1280607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -43749*h**2 - 16*h + 60. Let x be b(10). Round x to the nearest 100000.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Suppose q*c - 72 = -2*c. What is the greatest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 125. Suppose m - 1 = 9. What is the remainder when n is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, 2, -1\/6, -5, -3271, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 47*x + 149*x + 172*x + 560 + 207*x + x + 12*x**2 - 4*x**3 = 0?\nAnswer: -10, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + sqrt(1539) + 1 + sqrt(1539) + sqrt(1539) + 5)*-3 + -5*1*sqrt(304)*3)**2.\nAnswer: 6048*sqrt(19) + 536580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**3*x**3 + t**3*x**2 - t**3*x - 3*t**2*x + 7636*t*x**2 + 55*t*x wrt x.\nAnswer: -12*t**3*x + 2*t**3 + 15272*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d - 96 = 143*d - 606 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 2176*p - 33. Give j(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 37 - 2019. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 11\/2*o**2 - 3\/4*o**4 + 1\/20*o**5 + 7\/3*o**3 + 0 + 25*o. What is the tens digit of u(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396081890?\nAnswer: 2, 5, 67, 139, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 3*z**3 - 6*z**2)*(4 - 5 + 0)*((4 + 3 - 5)*(-2 + 4 - 4) + 2 - 5 + 4 + (0 - 1 + 2)*(-2 + 2 - 1) - 3 - 5 + 1).\nAnswer: -33*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 831 + -441. Let z(i) = -t*i + 0 + 391*i + 0. Let r(h) = 4*h. What is r(z(x))?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741506706.\nAnswer: 2, 3, 23, 43, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*r + 25249*r**2 - 12621*r**2 + 22*r**3 - 12627*r**2 + 188*r as m*r + l*r**2 + g*r**3 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5606+7\nAnswer: -5599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-504)\/52)\/6)\/((-75)\/(17550\/36)).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37264980 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(11\/4)*x\/(x**45*x*x)*x*x*((x**(-2\/37)\/x)\/x)\/(x\/((x\/((x**(-49)\/x*x)\/x))\/x)) assuming x is positive.\nAnswer: x**(843\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.027736353 times 1\nAnswer: -0.027736353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40680128*k**2*o - 206476941*k**2 + 3*o with respect to o.\nAnswer: 40680128*k**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*((2 - 2) + 2). Let c = -4 + f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40981947757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913 is divided by 126?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1739 is divided by 65.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -182 in increasing order.\nAnswer: -182, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 34 - (-13 + 1 + (-147 - -169))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/280 and -99\/10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 185172 rounded to the nearest 100?\nAnswer: 185200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -63, -72, -81, -90?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03023 rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (45\/(-20))\/((-1105)\/(-136) - 8). Sort 16, r, 4 in increasing order.\nAnswer: r, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 30878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let r(f) = 60731*f**2 - f. Calculate r(g(p)).\nAnswer: 60731*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2700 = -976*b + 946*b. What is the remainder when b is divided by 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -41*y + 21\/2*y**2 - 55. Differentiate n(m) wrt m.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*p**3 - 5*g*p*t**2 + 3*g*p*t + 4*p**3*t**2 - p**3*t - 4*p**2*t**2 + p**2*t wrt t.\nAnswer: -10*g*p + 8*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -t - 44, 2*t - 43*c = t - 47*c + 1 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -70a490 + 5?\nAnswer: -70a486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.393488573 to three dps.\nAnswer: -1.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14405, 3, -11, 27.\nAnswer: -14405, -11, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - 18. Let d = c + 113. Calculate the highest common divisor of d and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {u: 1, r: 13, y: 1, m: 5}.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**7\/12600 - u**6\/3600 + u**5\/300 - 5*u**4\/6 + 6*u. Let c(h) be the third derivative of a(h). Let c(g) = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 w when four letters picked without replacement from {k: 7, w: 2, j: 2}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -10. Let b be (-1)\/2*-10*1. Suppose -b*t + 5*p + 15 = 0, -2*t = 2*p - 7*p + 9. Calculate the least common multiple of k and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 1\/120*n**7 + 1\/16*n**5 - 1\/12*n**3 + 0 + 9*n**2 + 19\/480*n**6 + 0*n + 1\/96*n**4. Factor s(b).\nAnswer: (b + 1)**3*(7*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 9*j**2 - 71)*(0*j - 4*j + 3*j).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 937 = 2*h - 461. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9491*o**2 - o + 10020*o**2 + 10004*o**2 + 9 - 25635*o**2.\nAnswer: 3880*o**2 - o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p - p + 2*p)*(-2*p + 4 - 4) - p**2 + p**2 - p**2 - p + p**2 - 4*p**2 + 5*p**2)*(-19 - 15 + 8).\nAnswer: 78*p**2 + 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 0*o + 2*o + (0*o + 4*o + 3*o)*(2 - 3 + 0) as p + n*o and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*q + 5*m - 4*m, 86 = 4*q - 3*m. Let t = q - 31. Let z = -31\/3 - t. What is the smallest value in 4, z, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*j - 8 = -j, 0 = -i - 3*j + 16. Which is smaller: 2\/39 or i?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 409696*h**5 + 27*h**2 + 31634348*h?\nAnswer: 8193920*h**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 77245.12 to the nearest 1000.\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*g + 76, -g + 28 + 18 = -2*j. Let w = -25 - j. Let q be (15\/(-25))\/(-1)*(-2)\/w. Which is the smallest value? (a) 1 (b) -4\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*((-2)\/(-6) + -1). Let j be (-4)\/48 + y\/6. Which is the closest to j? (a) 0.4 (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 - 13*c - 24. Calculate the remainder when 82\/(-3)*(-1 - 2) is divided by i(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44064, 88101, 132150, 176217, 220308?\n\"Answer: k**3 + 44030*k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/24 + 622\/24. List the prime factors of 91\/b*(-3 + 105).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*b**4*l**2 + 6*b**4 + 30839*b**3 - 5*b**2*l**2 + 61*b**2 + 2*b*l**2 + 4*l + 1068 wrt b.\nAnswer: 1008*b*l**2 + 144*b + 185034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 727, -1\/2, -5, -269, -6 in descending order.\nAnswer: 727, -1\/2, -5, -6, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0, 66, 0.1, -3.69, -2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*s = -h - 81*s + 429, h - 3*s = 417. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-54)\/(-15))\/(-11 - (-3211)\/260)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(2\/23))*m)\/m*m\/m**(-10)*m**(-2\/27)\/m**(1\/2) assuming m is positive.\nAnswer: m**(12841\/1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8153 (base 11) to base 12.\nAnswer: 6323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -126478, -126475, -126472, -126469?\n\"Answer: 3*y - 126481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(539))**2 + -6*sqrt(539)*-1.\nAnswer: 42*sqrt(11) + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/4)\/(6 + -3). Let k be ((-9)\/15 - 3\/(-15))*5. What is the smallest value in k, 2, 1\/3, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*l + 40*l - 44*l)*(1 + 2*l - 1 + 2 + (-4 - 2 - 1)*(3*l - l - 4*l)).\nAnswer: 224*l**2 + 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 + 1) - (30 - (-30 - (26 + -70))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1148*u**2 + 1152*u**2 - 3438*u**2 + 1152*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-69)\/(-18) + 21\/(-9) - 15\/12. Let b(k) = -k**2 + k. Let i be b(2). Let f = 0 - 0.16. Put i, r, f, -5 in ascending order.\nAnswer: -5, i, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 926 - -250. Suppose -r = -8*m + 704. Suppose 2*d + 622 + 83 = 3*z, -z - d = -m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3\/7 - 15864*h**2\/7 + 20956335*h\/7 + 41976150\/7 = 0?\nAnswer: -2, 2645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 61\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r - 5 + 555 = 13*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -63*n + 1. Let w(z) = -733*z**2 + 2. What is w(f(u))?\nAnswer: -2909277*u**2 + 92358*u - 731","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61294 - -6777. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(7\/((-112)\/12)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.7799 times 37\nAnswer: 28.8563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from yzyyzywywywywyiyy.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 6*k - 3. Let y(q) = q + 10. Let m be y(-8). Let g be r(m). Solve 3*f - 4*z = -15, -2*f + g*z - 15 = 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155122 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 158644393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -541133\/40 + 13526. Find the common denominator of q and -47\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 423732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3*f**2 + 0*f**3 + 0*f**3 - 11*f**3 - 7*f**3 + 2*f**3 as s*f**3 + d + y*f + g*f**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 12. Let j(o) be the second derivative of -o**3\/6 - 7*o**2\/2 + 291*o. Give j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 50 = 4*y. Suppose 12*v - y*v + 44 = 0. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5997242 divided by 27.\nAnswer: -5997242\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 346420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -496\/61127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 14*c - 28*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 11*c**2 + 3*c + 2. Let a be y(-11). Let i = a - -107. Suppose -4*o + 244 - i = 0. Does 27 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/r**(15\/4))\/(r\/r**30))**(-4))**(-15))**50 assuming r is positive.\nAnswer: r**81750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/1)\/(-4))\/((-6)\/40)*1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, 16, 44, 74, 100, 116, 116, 94?\n\"Answer: -d**3 + 10*d**2 - 3*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 56, 107, 174, 257?\n\"Answer: 8*c**2 + 11*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 6*t = -2*t, 9 = -4*z + z - 5*t + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*n - 134*n = 0, 9 = -h - 3*n for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:25 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 2*b - 2. Let j be r(1). Suppose 0*k + k - 2*h + j = 0, -5*k = -h - 13. Solve 3*z = 1 + 2, 2*u - k = -3*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88008 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11332113010 (base 4) to base 15.\nAnswer: -20e09d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1082682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.9517769 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1040 from -0.151.\nAnswer: -1040.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2972 - -2974. Let c(u) = 3*u**2 + 2*u + 4. Let m(k) = 4*k**2 + k + 5. Give q*m(x) - 3*c(x).\nAnswer: -x**2 - 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, l: 10}. What is prob of picking 3 y?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/148820 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 minutes after 5:05 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -24. Let c(y) = 112*y**2 - 2*y + 2. Is c(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f + 20. Let a(z) = 1 + z**2 + z**2 - 3. Let m be a(f). What is the highest common factor of m and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1098 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5\/5 - 439824*z**4\/5 + 16122188448*z**3\/5 - 25791279360*z**2 + 51579744000*z = 0?\nAnswer: 0, 4, 73300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84104.9243758 + 4.\nAnswer: -84100.9243758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 76 and 19455.66?\nAnswer: 19379.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*3*3)\/((sqrt(70) + sqrt(70)*2)\/sqrt(7) - sqrt(10) - sqrt(10)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -141510*y + 1. Let l be k(-5). Suppose -2*j = 272449 + l. Round j to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -1 + (544\/34 - 16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -41*v + 2. What is k(-2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/1020)\/(6\/102).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j + 15 = 10*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1524 + -3?\nAnswer: -1527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -105576608.7 to the nearest one hundred thousand.\nAnswer: -105600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127933080 by -132.\nAnswer: -969190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-116)\/(-319))\/((-1)\/(-11))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 88*m**3 - 252*m**2 + 248*m - 82.\nAnswer: -2*(m - 41)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1994 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -0.5, -7, 0.14.\nAnswer: -7, -0.5, 0.14, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -693, -972, -1285, -1620, -1965, -2308?\n\"Answer: 2*l**3 - 29*l**2 - 206*l - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3506 - 471*w**2 + 1427 + 6192*w**2 + 946 wrt w?\nAnswer: 11442*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4*q + 6*q - 44, 4*n = 45*q - 43*q - 0*n - 44 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 249\/8?\nAnswer: 249\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 4*l**2 - 3*l + 2. Let u be z(4). Let b = -14 - u. Is 178*-1*2\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 184 and -185989.7.\nAnswer: -185805.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27085 = 775*c + 6160 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 6312.\nAnswer: 31560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + f + 35. Give h(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.84 + -36.54. Put -5, -3, 777, h, 0 in descending order.\nAnswer: 777, h, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.2 + -10. Let b = 13 - 1181\/91. Let n = b + 144\/1729. What is the second smallest value in k, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(170) - -4*(sqrt(170)*-5 + sqrt(170)))\/(sqrt(810) + sqrt(810)*-3))**2.\nAnswer: 317\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.08 (c) -8 (d) 3 (e) -2 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 - -189. Let t be -7*(8 + -11 + 7). Let d = p + t. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/40 + 126\/15. Which is smaller: d or 10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -15*v**2 - 1. Let o be k(-2). Let z = 90 - o. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**11)**(-2\/27) assuming v is positive.\nAnswer: v**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 3*o**3 - 2*o**3 - 22*o**3.\nAnswer: -27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -25*w + 83. Give d(6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + n - 11, -4*d + 3*n - 5 + 4 = 0. Let w = -1 + 3. Suppose -h**2 + h**2 + 4*h - d*h**4 - 4*h**3 + w = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -50*n + 496. Calculate g(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from iybbi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 8*f + 7. Let m be 17*1*1*(-133)\/(-133). Suppose -2*s - m = -b, -5*s - 32*b - 43 = -35*b. Calculate h(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5 + 5 + -4 + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)*0 + 25. Suppose l + 5 = z - o, 4*l - 15 = -z. Suppose 3*y + 0*y + r = z, 2*r = -6. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 2, i: 1, f: 1, a: 2}. Give prob of sequence af.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 786, -4, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22694 is divided by 3081?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112612*w**4 - 8833*w - 6?\nAnswer: -1351344*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6 + 1309\/224) - 4\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, n: 1, k: 4, z: 9}. Give prob of sequence iik.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*f + 4*c - 22, -12*f = f - 5*c - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from frffr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2334042670?\nAnswer: 2, 5, 29, 41, 196303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 i when four letters picked without replacement from {m: 1, z: 3, i: 2, p: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 - g**2 + 3*g**2)*(64*g**2 - 640*g + 1331 + 1344 + 18*g**2 - 2673) in the form h*g**3 + s + t*g + f*g**2 + b*g**4 and give b.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 56*n**2 - 712*n - 52. Calculate the remainder when 2192 is divided by a(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4378 + 11280. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 91, 321, 685, 1183, 1815?\n\"Answer: 67*f**2 + 29*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a - 199 + 86 + 114.\nAnswer: 27*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 219053223 divided by 31?\nAnswer: 7066233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + i - 5. What is g(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 941988 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/31)*w*w\/w**(-4) assuming w is positive.\nAnswer: w**(185\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/82 and -37\/14.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2*s, -2*s + 9 = -5*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/4*(-25)\/175?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113760198.\nAnswer: 2, 3, 43, 146977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o - 120 = -5*v, 0 = -2*v - 3*o + 53. Let l = 27 - v. Which is the nearest to l? (a) 6 (b) -4\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stp when three letters picked without replacement from {z: 1, t: 4, p: 2, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*j**3 + 7*j - 10*j + j in the form q + g*j + s*j**2 + o*j**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*p - 23*p - 27*p in the form y*p + o and give y.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16589 - 12414. What are the prime factors of c?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 4*y + 3. Let t be r(-4). Let n be 396360\/1665 - (-6)\/(-111). Suppose -t*f = 58 - n. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/50 + 36\/25. Let t be (-4)\/(-1)*1\/(-2). What is the second smallest value in v, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4095 + -11.4095. Is g < -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(117)*-4 - sqrt(117).\nAnswer: 69*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41880 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 13 + 2 = 0, -4*w = -4*f - 40. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -123, 1, -175, 5, -21, -2 in increasing order.\nAnswer: -175, -123, -21, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*w - 2044, -v + 3*v = -2*w - 820. Let j = -141 - w. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 29*h**2 - 28*h + 20. Let c be t(-28). Let p be ((-2)\/(-8) - (-5575)\/c)*-1. Let n be (9\/(-2))\/(p\/(-96) - 3). Is n at least as big as 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -26*u - 22. Let n be w(-3). Let z be ((-7)\/(n\/36))\/((-2)\/4). Solve -v + 4 = z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/(v**(-3)\/v)*v*v*v*v)\/v*v**(-12))**(-24))**12 assuming v is positive.\nAnswer: v**576","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n - 19. Suppose -n = c - 49. Suppose -2271 + 525 = -97*s. Calculate the least common multiple of s and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1213*a**3*k**2 - 6106*a**3*k - 4*a**3 + 7138*a**2*k**2 + 3*a*k - 2*a + 10 wrt k?\nAnswer: 2426*a**3 + 14276*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14877 divided by 783.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64115373 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 432447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p - p)*(-8 + 207*p + 2464*p**4 - 715*p - 2465*p**4)*(2 + 2 - 8).\nAnswer: -4*p**5 - 2032*p**2 - 32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -415*p - 139030. Calculate b(-335).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1.6, -0.3, 0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2794 and 1778.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.79943 nanograms to kilograms.\nAnswer: 0.00000000001379943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -88?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 - 1. Let p be l(-1). Let d = 20 + -10. Suppose 0 = 4*u - 3*f + p, d = -5*u + 3*f + 2. Let j(y) = -y**3 - 3*y**2 + 7*y + 5. Determine j(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 + 42*r - 9. Let f be z(-8). Calculate the remainder when 18 is divided by -2 - (f\/5 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (16 + (-7 - (16 + -13 - -2)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - 157?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151207?\nAnswer: 7, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + o**3 - 4*o**3 + (3*o - o**2 - 3*o)*(-1 - o + 1) - 3*o**3 + 3*o**3 - 2*o**3 + (2*o**2 + o**2 - 5*o**2)*(-5 + o + 5) - o**3 + 0*o**3 + 4*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -742.75 take away -3?\nAnswer: -739.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxsuxal. Give prob of sequence lam.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2 - 2*p - 2. Let c(a) be the first derivative of 16 + 1\/2*a**2 + a + 1\/3*a**3. Determine 4*c(i) + 2*k(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2 + 7087128*c - 3139211455524 = 0. What is c?\nAnswer: 885891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 26392064.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2608b2 (base 12) to base 7\nAnswer: -5204252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 2*g + 4*g - g + 2*g - 30.\nAnswer: g - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2763.12417 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3 - 6 + s + 0. Let f be 16\/5 - (-5)\/(-25). Let r be x(f). Which is smaller: -1\/5 or r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -196, 0, 304, -2 in descending order.\nAnswer: 304, 0, -2, -64, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*p = p - 2, 3*o - 2*p = 7. Let y be (-2)\/(-9) + 410\/18. Suppose -5*u + 12 = -y. What is the smallest common multiple of u and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 20*f - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(320) - (sqrt(320) - sqrt(320)*-2))*2*4 + sqrt(320) + sqrt(320) + 2*sqrt(320) + -3 + -1*sqrt(320)*-1 + -5)**2.\nAnswer: -8832*sqrt(5) + 1523584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*u - 8, 8 = 3*u + 5*j + 30. Let y = -36 - -24. What is the closest to -0.1 in u, y, 4, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 14 = n, -n + 2001673 = -2*h + 2001676 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/7 + 15254*r\/7 + 2986476\/7 = 0. What is r?\nAnswer: -191, 7818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 5. Let u(m) = m**2 + 11*m - 6. Let h be u(-9). Let j be 3*(-1)\/((-9)\/h). Let r be o(j). Sort 1, r, 2 in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0087 + 0.0887. Which is the closest to 1\/6? (a) 0.4 (b) 0.1 (c) -2\/3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 1\/4, -67, -0.06, 1, -28364?\nAnswer: -28364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + 4500\/8. Suppose -h - 262 = -5*l. Let i = 38 + -23. Calculate the greatest common divisor of l and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h*q**2 + 21*h - 702*q**2 - 6*q wrt q.\nAnswer: -2*h - 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irrr when four letters picked without replacement from rrrrrriirrr?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 35*n - 20*n + 40*n**2 - 53*n**2.\nAnswer: -13*n**2 + 15*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/11 or -4.089?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391 and 5134?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9214372 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -371.255372 rounded to the nearest integer?\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 153*y**3 - 2394*y**2 + 10956*y - 8712.\nAnswer: -3*(y - 22)**2*(y - 6)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -330 + 234. Let j = p + 99. Solve -j*f = -5*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 12*t = -3*w - 26*t - 35, -82*t + 81*t - 13 = w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-316)\/4345)\/(6\/(-15)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*f - 4*g, f + 7*g + 5 = 11*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 15\/86?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m*z**3 - 4*m*z**2 + 24*m + 3*w*z + 2*w - 2 wrt z.\nAnswer: 6*m*z**2 - 8*m*z + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-473*m**4 + 279*m**4 - 770*m**4)*(2 - 1 + 11) to the form l*m**3 + n + v*m**2 + h*m**4 + t*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-252))\/((-32)\/6)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 482*b**2 + 27 - 77 - 3*b + 28 + 21 as q*b + d + z*b**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 12:59 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 + r + 109. What are the prime factors of z(0)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1006 - -5?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*w = -282, -4*n + w = -5*n + 146. List the prime factors of n.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207 + -199. Is 148881\/7 + 4*t\/112 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n**3 + 997*n - 10*n**3 + 36*n**3 - 997*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*p + 65443 = 0, 4*j + 43*p - 52370 = 45*p. Suppose 0 = 16*c - 11197 - j. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-245)\/125)\/(-1) + -2). Let p = d - -29. Solve p*z = 2*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -341*m. Let v(n) = -37*n + 27. Let c(i) = 112*i - 84. Let a(z) = -9*c(z) - 28*v(z). What is l(a(x))?\nAnswer: -9548*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 divide 46762200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*g**2 - 567*g**2 + 5 - 5 + 248*g**2 + 217*g**2.\nAnswer: 98*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6830 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: Let t be (-9)\/1 - 4\/(-1). Sort t, 2, -4.\nAnswer: t, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 8*r - 5*r)*(-1 - 15*r - 3 + 3).\nAnswer: -30*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 5*u + 61, 2*r + 3*u = 985 - 938 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + sqrt(17) + sqrt(68))**2.\nAnswer: -178 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(5) + 4 + 3 + (-6*(sqrt(240) - sqrt(60)))\/sqrt(12))**2 + 4.\nAnswer: -70*sqrt(5) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 64960\/(-480) - 152?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38128, 38289, 38450?\nAnswer: 38611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457804?\nAnswer: 2, 364451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 8:23 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.5595858 to one decimal place.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.1, 107, 2\/11 in increasing order.\nAnswer: 0.1, 2\/11, 2\/5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -5*j**2 - 7\/3*j**3 + 126 - 1\/4*j**4 + 0*j. Determine c, given that o(c) = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.4 - -3.6. Let o = -22.0216 - -0.0716. Let w = o + h. Which is the second smallest value? (a) 4\/7 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 49*i**2 - 528*i - 51. Give u(-14).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w = -50*w - 71 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(75)*-2)\/sqrt(3))\/(sqrt(640)\/sqrt(8)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13190 + 1?\nAnswer: -1318d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + -6 + 22 - -65) + -15?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 232 - 71 = -3*q, -5*z = -5*q - 285. Let n be -7 + (-3 - q) + -1*1. Calculate the greatest common factor of 328 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/1476, 1\/7, 4, 8, 0, 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 206962746 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37240210 + -24670210. What is k rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 3958*q**2\/3 + 3955*q.\nAnswer: q*(q + 3)*(q + 3955)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1481 - 1466) + (0 - 41).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a - 4. Let z be l(-3). Suppose 58 = k + z. Suppose -58 = -4*w + k. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/7, -48\/29, 0, -2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4131 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 161\/(-490) + 1\/(-10) + 6\/14. Let v(a) be the second derivative of 0*a**2 - 1\/12*a**4 - 16*a + 0 + u*a**3. Let m(s) = -133*s. What is m(v(w))?\nAnswer: 133*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3. What is the units digit of (7\/z)\/(4 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2423696, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10272442 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 196 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqrlrrlra. What is prob of sequence rrrl?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4621738 (base 11) to base 4\nAnswer: 132311221103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -3*m**2 + 1\/2*m**4 + m + 0 + 1\/10*m**5 - 1\/3*m**3. Find r such that f(r) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0*x**3 - 1 + x + 2*x**3 - x**3 + 6*x**2. Let b(p) = p - 19. Let s be b(21). Suppose 0 = -3*u - 3*t - 15, 2*t + 4 = u - s*u. Calculate m(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -66. Let k be (-1 - x)*(25 - 15). Let o(v) = v**3 - 10*v**2 + 4*v - 4. Does 15 divide o(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -944*q = -930*q - 238. Sort q, -5, 3 in decreasing order.\nAnswer: q, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206989*m + 207048*m - 1357 = 0 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8137\/517 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by (-4)\/14 - (-174)\/21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5576 times 0.0285?\nAnswer: 158.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1521*f**4\/5 + 151944*f**3\/5 - 15596*f**2\/5 + 80*f.\nAnswer: f*(f + 100)*(39*f - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6389 and 96786532161.\nAnswer: 96786538550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261455*w**3 + 114467*w**2 + 2.\nAnswer: -1568730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622741.\nAnswer: 353, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 10*s**2 - 11*s - 7. Let n(v) = 38*v + 219. Let d be n(-6). What is h(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Suppose u - 2*u + 6 = y, -2*u - v*y + 12 = 0. Suppose 0 = g - 0 - 6. Calculate the least common multiple of u and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1748\/13 - 20027\/156. Find the common denominator of (-741)\/70 + (-4)\/(-14) and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-9)\/(-40))\/(28*(-42)\/(-32340)))\/((-3)\/(-4)). Let 5\/2*o**4 + 10*o**2 + 0 - 4*o - r*o**3 - 1\/4*o**5 = 0. What is o?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7}. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 1451. Let v(a) = -2*a**2. Calculate y(v(g)).\nAnswer: -8*g**2 - 1451","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 10 = -4*a - 5, 10 = 2*d. What are the prime factors of 90\/3*a\/(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 40636596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319 and 667.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4.9. Suppose 3*q - 2*q - 4 = -c, 2*q + c - 7 = 0. What is the nearest to l in -0.5, -2, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/60*8\/(-6)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 164 - 11 = 0. Let z be (m\/6)\/(5\/30). Suppose 5*s - z = 69. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -2.1518622.\nAnswer: -0.86074488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 350452*n**2 + 61408302152*n.\nAnswer: n*(n + 350452)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2517*j + 1208166. Give g(480).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*o + 55893 = 909*o + 542*o for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-10 - 1) + 0 + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 271 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -120, -186, -254?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160947, -160954, -160967, -160986, -161011?\nAnswer: -161042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/2)\/(-2 + 1). Sort p, -1, -2 in descending order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 3710986.\nAnswer: 2\/1855493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11934*l + 14207?\nAnswer: -11934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11036 and 65860?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5297*w - 14596*w - 27619*w - 477*w.\nAnswer: -37395*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z + 12. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 211*v - 10. Let h(l) = -422*l + 17. Give 3*h(g) + 5*s(g).\nAnswer: -211*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuu when three letters picked without replacement from {s: 2, u: 2, y: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9655, 9650, 9657, 9682, 9731?\nAnswer: 9810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -44 (b) 2\/17 (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:44 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33803172 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*q**3 + 16*q**4 - q**3 + 3*q**3 as r + k*q**4 + v*q**3 + x*q + d*q**2 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -318.807 rounded to 0 decimal places?\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 1 + 1)*(3*t - 4*t + 2*t) - 1 + 3 + 16*t**2 + 49*t**2.\nAnswer: 64*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 903 and 98.\nAnswer: 12642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753440999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + 2 - (1 + -780). Let y = m + -769. Is 13 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -649.8\nAnswer: 324.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 1848.\nAnswer: -166.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 692 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 383\/5 - 77. Suppose -5*l + 30 = -5*m, -16*l = -17*l - 3*m - 6. Which is the closest to t? (a) l (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2 - 4*p**2 + 4*p**2 - p - 2*p**3 - 3*p**3. Let h be w(1). List the prime factors of (-1)\/(-4) - 23\/h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - -2 - -1*21. Suppose -4*r + z = -6*r. Which is greater: -8 or r?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -14 - 28. Suppose a + 12 = n. Let d(q) = 5*q**a - 33*q**2 + 15*q**2. Let l(i) = -3*i. Give d(l(u)).\nAnswer: -117*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-1 - (1 + -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-5 - 3)\/48. Which is the closest to 1? (a) 1 (b) -5 (c) 0.5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 91*o - 1038. Determine z(11).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 21 - 294. Suppose r = -s + 4*s. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 1\/2*u**4 - 1\/5*u**6 + 0*u**2 - 7*u + 0*u**3 + 3\/20*u**5 - 1\/14*u**7 + 0. Determine m, given that i(m) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -9) + -1 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -72*q - 29. Let j(h) = -36*h - 14. Let f(n) = 3*i(n) - 5*j(n). Differentiate f(v) wrt v.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30477, 61025, 91577, 122133?\nAnswer: 152693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 5) to base 3.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 - 147*p**2\/2 + 20385*p\/4 + 45602.\nAnswer: (p - 151)**2*(p + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05693 - -531252.8?\nAnswer: 531252.74307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + s - 1 = 0, s = -o - 2*s + 10. Let k be 0 + -1*(1 - o). Let n = 0 + 0.1. What is the closest to n in 1, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 27*b + 4. What is i(-29)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408478279?\nAnswer: 11, 37134389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 3*z + 3*z)*(3 + 4 - 5)*(2*z - 5 + 5).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -31 - 14. Solve -q*p + 31 - 11 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-20))\/((-9)\/(-60)). What is the tens digit of u\/(-28) - 615\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533000567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + p + 2. Let l be ((-88)\/6*-3)\/2. Let u be (-2)\/10*(-55)\/l*-2. Let w be a(u). Solve -5*b - s + 20 = w, -s = 5*b + 2*s - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133380 divided by 3705\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**(-20))*h**(-14) assuming h is positive.\nAnswer: h**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004833627 to 6 dps.\nAnswer: 0.004834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7675990, 7675991, 7675992?\n\"Answer: r + 7675989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -53. Sort 1, s, -2.1 in decreasing order.\nAnswer: s, 1, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1220087 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4017889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12375 - 31*g - 12375 - 25*g + 51*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, r: 1}. What is prob of picking 4 d?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.1 + -0.07946.\nAnswer: -44.17946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7550 and 15100?\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 44*l - 11. Let h(p) = 7*p + 9. Let b be h(-4). Let o = b - -27. Is r(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7160720851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0, 0.3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -86514.96 rounded to the nearest one thousand?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23563 + 2226?\nAnswer: 26122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88 - 4*g - 4980612*g**2 + 4980612*g**2 + 141*g**3 wrt g?\nAnswer: 846*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 32*o + 5. Let m(z) = -1887*z - 296. Let t(n) = 131*n + 97. Let c be t(-3). What is c*d(v) - 5*m(v)?\nAnswer: -37*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11001 and 16.\nAnswer: 176016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (7 + (-13 - -6) - -192) + -6 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {r: 6, z: 7, w: 4}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmx when three letters picked without replacement from {x: 5, m: 14}?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + sqrt(128) + sqrt(128))**2 + -4) + -4 + sqrt(128) + 2 + 5.\nAnswer: -184*sqrt(2) + 1037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1 + 1. What is the greatest common divisor of y and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26223.\nAnswer: 3, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100719 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 4. Suppose -3*d - 15 = -8*d. Let f be c(d). Let o be -1*1\/f*-5. Solve -5*h + 2*v - 32 = -2*v, o = -2*h - v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5. Let s = 7\/8 + 13\/8. Let q = -3 + s. What is the third biggest value in q, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3451 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*q**4 + 129017*q**3 - 2*q**2 - 1582087 wrt q.\nAnswer: 216*q + 774102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97794140 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/7 in 8, -20\/9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m - 12*m. Suppose 52*w - 47*w - 495 = m. Suppose -7*n - w + 694 = 0. Calculate the smallest common multiple of n and 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.24538, 0, -4, 0.1 in descending order.\nAnswer: 0.24538, 0.2, 0.1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -25. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8163*c - 8283*c + 19937640 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 11*v**2 - 13*v + 18. What is k(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/18*13878\/20046.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 364 + 80. Find the second derivative of -444*r**3 - 2*r**2 - 57*r**4 - r + 3*r**2 - 3 + x*r**3 wrt r.\nAnswer: -684*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3672723*m**4 - 4022394*m wrt m?\nAnswer: 44072676*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 6. Suppose n - 10 = -f*o, 2*n - 31 = -2*n - 5*o. What is the first derivative of -6*s**4 + 7*s**n - 4 + 2*s**4 - 4*s**4 wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 1:42 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 + (7 - 2 - 4)*(1 + 2 - 5) - 4 + 4 - 2 - 4 + 4 - 2 + 2 - 9 - 1)*(0 + 0 + p**2).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -8*t + 11*t - 2301, -4*t = -5*d - 3068. Let l = -1108 + t. What is l rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -1)*(-25)\/(-15) - -2516. What is the highest common divisor of r and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/16)\/((-2733)\/18220)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000230846 to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424.4546g to kilograms.\nAnswer: 0.4244546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let j(x) = 2*x. Suppose -7*i = -3*i - 12. What is i*j(l) + 7*k(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, -15, -22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*q - 29 = 0, 4*r - 6*q + 5*q = 22. Suppose -5*d + c + 576 = 199, r*d - 4*c - 383 = 0. Calculate the remainder when d is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 + 202*u - 196. What is the hundreds digit of z(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401 - 37 = 52*l. Solve -10 = -5*k, 0 = 5*i + 5*k - l*k + 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*u + 164 - 835, -2*m + 706 = 2*u. Let k(f) = 346*f + 1 - f**2 - m*f + 0*f**2. What is k(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o + 6 = j, o - 3*j - 10 = 0. Let p(a) = 3*a - 4. Let i be p(3). Solve -o - i = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416519376 by 95928.\nAnswer: 4342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -379168, 0, 0.4 in descending order.\nAnswer: 0.4, 0, -379168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**2)*z**(-3\/7)*(z\/(z\/(z\/(z\/(z**0\/z)*z))))**(6\/7))**(-36) assuming z is positive.\nAnswer: z**(1044\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = t, -2*i + 5*t = 16. Suppose 5*o - 598 = 2*n, 3*o + 3*n - 513 = -150. Let a be 158\/o + 16\/(-40). Which is greater: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -327390?\nAnswer: -327398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 14) in base 9?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 + 9*z - 3. Let d be r(-4). Is ((-3)\/d)\/((-1)\/4227) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-1))\/(-1*2))\/((-7970)\/605720).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -217\/3 - -73. Suppose -d = -2*d + 3. Determine u so that -d*u**3 - 13\/3*u + m + 8*u**2 = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2))\/(205\/(-161704)*34)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/(126\/112).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*a = -9*b + 340, 5*b - 4*a - 425 = 0. Let l = 138863\/6 + -23229. Let m = l + b. Put m, 3, 0 in descending order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16000253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*n**2 + 16*n**3 - 17*n**3 + 16*n**2 - 2*n - 1 + 4*n - 3*n to the form m*n + i*n**2 + z*n**3 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4316.2326ns?\nAnswer: 0.0000000011989535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0, -5, 0.3, 68589, -3\/8, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 6*a**4 - 9*a**3 + 12*a**2 + 12*a.\nAnswer: 3*a*(a - 2)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h)**(-6\/17)\/(h\/(h**(1\/4)\/h)*h*h\/(h\/((h*h\/(h\/(h\/h**3))*h)\/h))))**(-33\/2) assuming h is positive.\nAnswer: h**(231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*v**3 + 0 + 13*v**3 - 62970*v**2 + 62970*v**2 + 16*v + 0.\nAnswer: -98*v**3 + 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 326*p - 1. Let j(k) = k**2 - 274*k + 1. Calculate 3*d(u) + 4*j(u).\nAnswer: u**2 - 118*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11)\/4 - -2) + 946\/(-4). Let q = 236 + h. Sort -2\/17, -0.4, q, -0.5 in ascending order.\nAnswer: q, -0.5, -0.4, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 24, 13, 2, -9?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**3\/3 + 3*i**2 + 13*i + 1. Let c be u(-6). Calculate the highest common factor of 143 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + -1*sqrt(272) + 4 + (sqrt(17) + sqrt(1377)*3 - sqrt(17)) + -3*3*sqrt(17))**2.\nAnswer: 252*sqrt(17) + 3413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 845497.8l?\nAnswer: 845497800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 945 and 183567825.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -268, -438, -608?\n\"Answer: -170*h - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) 0.5 (b) -4 (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 6:07 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 98324652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 477125900 and 4?\nAnswer: 477125900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -29 + 7\/2*s**2 - 8*s + 1\/3*s**3. What is q(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 21 = c. Let y be -6*(4 - c)*1. Calculate the highest common divisor of y and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1075425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 70. Suppose 18*t - 1100 = q*t. List the prime factors of t.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (9 + 38)) + 33\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1 - (-15 + 7)) + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 - 40*j**2 - 2*j + 14. Let s be k(10). Let u(t) = -t**2 + 7*t + 79. Calculate u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x**4\/3 + 8414824*x**3\/3 + 128281796606*x**2 + 379243036896*x - 16731326592 = 0.\nAnswer: -91464, -3, 1\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*5.64\nAnswer: 1.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 + 897 + 165 = -74*h - 1272 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**2 - 1\/4*z**4 + 10\/3*z**3 - 3 + 22*z. Let b be s(10). Is 14\/5 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 748.5992cm?\nAnswer: 7485992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 10*a + 7. What is q(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5 - 20885*x**4 + 15387990*x**3 - 46038710*x**2 + 45996965*x - 15325365 = 0.\nAnswer: 1, 951, 3223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169592, 1356709, 4578858, 10853555, 21198316, 36630657, 58168094, 86828143?\nAnswer: 123628320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 - 3*p**2 + p. Let u(o) = 2*o**3 - 2*o**2. Let i = 37 + -35. Let r(f) = i*c(f) - 3*u(f). What is the second derivative of r(l) wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2 + 166*y. Let k(i) = -11*i**2 + 497*i. Calculate 3*k(w) - 8*t(w).\nAnswer: -w**2 + 163*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 1. Let h(t) = 8*t + 5. Let l(x) = h(x) + 4*s(x). Let o be l(1). Let b = -3 + 3. Sort o, 3, b.\nAnswer: b, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12643988, 12643986, 12643984?\nAnswer: 12643982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4 = -6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 73, 143, 211, 277, 341?\n\"Answer: -d**2 + 73*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -148?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 2, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/60 - g**4\/8 + g**2. Suppose -6*j + 12 + 18 = 0. What is the smallest common multiple of 4 and o(j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 10*q - 5. Let x(o) = 1. Let t(d) = -b(d) - 6*x(d). What is the remainder when 46 is divided by t(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88444875 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -421 - -358.6. Let k = 62 + q. What is the biggest value in 4\/9, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaanaana. Give prob of sequence nna.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o - 97365 - 179956 = -58361. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-one halves of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 154*q**2 + 5686*q - 376. Determine y(-37).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from apbdbbaaedddabeaa?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 5:56 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/371 and -97\/503594.\nAnswer: 26690482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(78)\/(sqrt(66)\/(sqrt(77)\/sqrt(7))) - (0 + sqrt(104)\/(sqrt(8)*3))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091949379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 8 = -12*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.833 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 170\/(-15) - (1 + 1\/(-3)). Let n be (s\/(-15))\/((3\/(-5))\/(-3)). Suppose -n*z + 63 = -65. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.9 + -31. Let m = 0.0465 - 2.4465. Let k = n + m. Is -0.2 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 778 and 36?\nAnswer: 14004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -13 - 3, -133*f + 316 + 365 = 4*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 1802 = 121*a + 538 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 2*w + 2. Let d = 179 + -66. Let l = d + -110. Suppose 0 = -2*x - l*m - 15, 2*m + 11 = -4*x - 7. Give h(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11780 - -25259. What is the remainder when h is divided by 221?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 221 - -72209?\nAnswer: 7242a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2. Let h(l) = 7*l. Let a be (-6 - 0)*32\/48. Let c(u) = -15*u. Let j(g) = a*c(g) - 9*h(g). Give j(n(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {a: 1, o: 2, t: 1, l: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/25*((-148)\/56 - -3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45214360 divided by -9042872.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416144 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**8\/168 + u**7\/15 + 17*u**6\/60 + 17*u**5\/30 + u**4\/2 - 4*u**2. What is i in f(i) = 0?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - ((-15 - -27) + -7).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*u + f - 33, -u + 18 = -f. Let i be (-2)\/(-6) + (-5148)\/(-351). Solve -4 = i*v - u*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 2*v + 17. Let z be i(5). Suppose -2*m = -z*d - 8, -5*m + 6 + 11 = -2*d. Put d, 5, -2\/3 in ascending order.\nAnswer: d, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58\/220473 or 1?\nAnswer: -58\/220473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc9 + 88?\nAnswer: -b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 16) to base 7\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 23*s + 44. Let o(x) = -2*x + 1. Let z be o(1). Let q(f) = -12 + f - 22 + 60 - 27. Let h(g) = z*n(g) + q(g). Find the first derivative of h(a) wrt a.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/3, 0.5, 1\/5 in ascending order.\nAnswer: -1\/3, 1\/5, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 858?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 9*m**2 + 8*m + 3. Let h be f(-8). Let q = 0 + 2. Let p(w) = w**2 + w + 1. Let t be p(q). Solve -h = -4*r - t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (3*sqrt(114)*-1 - sqrt(114)))\/sqrt(6)*2.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r - 42 + 42.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*a - 46*a - 30*a - 38*a)*(-1 - 1 + 0) to the form z*a + k and give z.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72566659 a multiple of 4332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 680267 or 680244?\nAnswer: 680244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 2330 = -233*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*(2 - 70\/15). Suppose -44 = c*b - 180. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63358 is divided by 330?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/10, -26, -1\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172596902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7400*-547.\nAnswer: -4047800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2 - 98*u + 1320 = 0.\nAnswer: -60, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7839084701 to the nearest integer?\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-156)*7*(-16000)\/(-5600)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**9\/j*j\/j**7 assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 3\/4, -3, 52\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82975 or -82976?\nAnswer: -82975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3662\/5 - 735. Are l and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9365138, -18730274, -28095410, -37460546?\nAnswer: -46825682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, u: 4, w: 2, x: 6, i: 1, q: 4}. Give prob of sequence qiuu.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*g - 3252233 = -292*g + 4139671. List the prime factors of g.\nAnswer: 3, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8504 - -8594. Calculate the highest common factor of d and 774.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54944 or 62629?\nAnswer: 62629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 2)*(6 + 28*j**2 - 29*j**2 - 3*j - 3 + (5 - 7 - 2)*(j**2 + 2*j**2 - 5*j**2)) in the form t*j + m + w*j**2 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2903 = -2897. Which is the nearest to -3? (a) -0.1 (b) o (c) 0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/7 and -35\/261.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0 - 8. Let w = -515 + 517. Suppose -2*p = -w*l - 0*l + 38, x*l = p + 33. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -212, -893, -2028, -3617, -5660?\n\"Answer: -227*r**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/67, 2\/11, -4, 0.6, -0.5, 0.5, 1\/57?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 2*o + 2. Let v be x(-5). Suppose -9*y + v = -3. What is the third derivative of -2*u**2 + 14*u**2 + 2*u**y + 0*u**5 + 2*u**2 wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52311\/20 + -13074\/5. Factor -27\/2 + s*x**2 - 21\/4*x.\nAnswer: 3*(x - 9)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 2*i - 1. Let y be s(1). Let q = -12 + 14. Suppose 11*f = 10*f. Sort q, y, f in decreasing order.\nAnswer: y, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59*g**4 + 10 wrt g?\nAnswer: -236*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 477169271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 v when three letters picked without replacement from {b: 5, i: 1, v: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2420 - 5774 = -1047*z + 21774 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 578 and ((-32)\/20)\/(1\/(60\/(-6))).\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70884 (base 12) in base 8?\nAnswer: -435744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 0*t + 4 + t - 13 + t**2. Let q be d(-7). Which is the third smallest value? (a) 0.2 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*v + 21 = -102*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 45, 35, 5, -51, -139, -265?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 11.3. Let l = -6 - y. Let z = 853 + -853.2. Which is the smallest value? (a) -3 (b) z (c) l (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3434 * 0.14053\nAnswer: -482.58002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110100011 - 1001101111011011?\nAnswer: -1000111000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 4, h: 1, a: 5, b: 3, m: 1}. Give prob of picking 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 269319388 and -0.5?\nAnswer: -134659694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.4, 3.1, -7, -8 in ascending order.\nAnswer: -8, -7, -0.4, 0.5, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 5. Let p be n(-4). Let q(r) = 17*r**3 + r - 1. Let h = 9932 - 9927. Calculate the remainder when q(p) is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 164.03 and -310402.\nAnswer: -310237.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 16248.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8541944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 13*g**6\/210 + 3*g**5\/28 - 2*g**4\/7 - 2*g**3\/21 + 63*g. Factor p(x).\nAnswer: x*(x - 1)*(x + 2)*(13*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.318861 and -4.\nAnswer: -2.681139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 47, 7, -33?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -21*u - 15. Does 6 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 + 9.81. Let q = -17 - -37. Suppose 61*w - q = 56*w. What is the biggest value in -2\/17, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266828 - 952*w**2 + 266830 - 533657.\nAnswer: -952*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**4\/21 - 8*v. Find w such that i(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81485468?\nAnswer: 2, 20371367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15666 - -15824. Is x <= 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572974134 divided by -190991378?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 9 - 19 + 3 + 10 - 12 + (2 - 1 + 1)*(2 - 5 - 1))*(c**3 - 6*c**3 - 3*c**3) to the form s*c**3 + n*c + v + t*c**2 and give s.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*w**2 - 4\/3*w**4 - 5\/3*w**3 + 0 + 0*w.\nAnswer: -w**2*(w + 1)*(4*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 9, 1, -25, 0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let u(a) = 12*a - 7. Let p(z) = 14*z - 7. Let d(m) = -5*p(m) + 6*u(m). Let j be d(q). Are j and -2\/87 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**3\/3 + 9*k**2\/2 + 22*k + 29. Let d be p(-5). Calculate the least common multiple of (3\/(15\/40))\/d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 8*k + 5. Let i be p(7). Suppose 0 = -4*r + 2*l + 24, -l = 2*r + l - i. Solve s - 13 = 5*t, t - s + 13 = -r*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -245 + -217?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 2*c**7\/35 + c**6\/8 - 3*c**5\/20 - 5*c**4\/8 - c**3\/2 - 1573*c**2. Determine l so that w(l) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5296909 + 1765637 - 16*p + 1765630 + 1765640.\nAnswer: -16*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 226223*q - 140812*q + 1366*q**2 - q**3 + 2249*q**2 - 655220 - 284565*q.\nAnswer: -5*(q - 362)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (17 - (7 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13108 + -144189\/11. Sort h, -1, -0.3, 0.7 in decreasing order.\nAnswer: 0.7, h, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6879 is divided by 168?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -9. Let v be 1\/(((-10)\/(-6))\/(-5)). Let a = v - i. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 1 - (0 + -4). Solve 4*z + 9 = -b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2. Let a(c) = 78*c + 16. Let q(d) = d + 4. Let s(k) = -a(k) + 4*q(k). Determine s(i(w)).\nAnswer: 222*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 8*k = 3. Let q(c) = 7*c**3 - 2*c**2 + 8*c + 11. Let l be q(k). What is l rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m + 261. What is the remainder when n(-14) is divided by 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*x = -3*l - 908, -l + 914 = -3*x. Suppose -2*s = 3*j - 0*j - 622, -l = -3*s - 2*j. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002895 less than 1002895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.294 to one decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 2*o + 1. Let b(z) = -z**2 + z + 1. Let w(t) = 3*b(t) + i(t). Let c be w(6). What are the prime factors of -2 + c*(-3)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 1. Let q(z) = -2*z**2 - 1. Let r be -9 - -7 - 1*-34. Let f = -25 + r. What is f*q(w) + 6*k(w)?\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:33 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1322*m + 3*m**2 - 1309*m + 0 + 1)*(-18 - 8*m + 18) as n*m + r + d*m**2 + v*m**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 s when three letters picked without replacement from {m: 1, b: 2, s: 1, h: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, e: 2}. Give prob of sequence hh.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47427 + 170608. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 2. Let s(f) = -2*f - 3. Let z(x) = 3*r(x) - 2*s(x). Let t(a) = 2*a. Determine t(z(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - 95. Let r be o*(-4)\/(-8) + -3. Let n be -2 - r\/24 - 2\/12. Solve -7 = n*z - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0.0774105.\nAnswer: -3, 0.0774105, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57)\/(-4) + (7 - 21). What is the third biggest value in h, 187, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2590927141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 32615.9003 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + -3 - -6*sqrt(39)\/sqrt(3) - (sqrt(13)*-1 + 5)*-6)**2.\nAnswer: 54*sqrt(13) + 742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -9*z**8\/784 - 2*z**7\/5 - 67*z**6\/40 + 57*z**5\/70 + 394*z**2. Let s(h) = 0. Calculate h.\nAnswer: -19, -3, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**4*z**2 - 395*b**3 - 3*b**2 - 2*z**2 + 2*z - 15 wrt b?\nAnswer: -4*b**3*z**2 - 1185*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465 by -2.\nAnswer: -465\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/(-375)*12\/26\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (2 - 7)) + -8 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**3 - 3*a**2 + 5*a - 7. Let c be i(2). Suppose 41*f + 6 = c*f. Let r(g) = -79*g - 17. What are the prime factors of r(f)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b**2 - 6*b - 14. Let x(w) = -9*w**2 + 5*w + 13. Let t(c) = -5*u(c) - 6*x(c). What is the derivative of t(m) wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (112\/156)\/(4\/42). Let g = a + -438\/65. Sort 0.4, g, 3\/2 in increasing order.\nAnswer: 0.4, g, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110450412 + 1297.693.\nAnswer: -110449114.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 15071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r - 7\/120*r**6 + 2*r**2 + 0*r**3 - 1\/10*r**5 + 0*r**4 + 0. Find the third derivative of a(v) wrt v.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4) - (-27 - -22))\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*z + 80, -2*d - 3 = 5*z - 31. Suppose -8*y + d = -4*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 1 - 9. Let q be ((0\/(-1))\/j)\/1. Let g = -74 - -95. Solve 4*y - z - g = q, 0 = 2*y + 2*z + z - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**4)**2\/(s**(-1\/20))**(6\/5) assuming s is positive.\nAnswer: s**(-297\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15814, -67696, -154162, -275212, -430846?\nAnswer: -621064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 6*h**2 + 8*h + 18. Is 9 a factor of l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3276201l in millilitres?\nAnswer: 327.6201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1589 or 544?\nAnswer: 544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6826267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3207, 11, -2\/1591?\nAnswer: -3207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66784789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 12:58 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -0.3, -10, -4, -46, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 27\/2*j**2 - j - 3*j**3 + 1\/4*j**4 + 0. Factor n(f).\nAnswer: 3*(f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -2100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1108\/7 + 158. Let u = -10 - -6. What is the nearest to k in -1, -3\/4, u?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/7)\/r*r*r*r**(-2\/23))**(-1\/33)*(r**(5\/2)*r**(-3)\/r)**(-7\/8) assuming r is positive.\nAnswer: r**(37143\/28336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 3*y + 4*y + (1 - 4 + 2)*(1 - 3*y - 1) + 9*y - 7*y + 16*y.\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -2*g**5\/15 - 1453*g**4\/3 - 625328*g**3 - 302345442*g**2 + 606568806*g - 2193. Factor f(r).\nAnswer: -2*(r - 1)*(r + 969)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -122.01. Let i be 3\/1*(124\/(-28) - -4). Is i less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*a**3 + 9262*a**2 - 95988 with respect to a.\nAnswer: -153*a**2 + 18524*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 - -114. Let r be -8*(3 + (-21)\/4). Solve y*q + r = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.043 + -39.957. Let r = v + 78. Let k = r - 37.66. What is k rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 8:37 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -124331 (base 5) to base 4\nAnswer: -1031212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113\/108 - 75865\/108. Let k = 705 + h. Factor -2*r**4 + k*r**3 + 0 - 2*r + 2*r**2 + 1\/2*r**5.\nAnswer: r*(r - 2)**2*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/10 + 38\/(-28). Sort y, 0, -5.\nAnswer: -5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 6*s**2 - 5*s + 2. Let a be m(-5). Factor 1\/2*j**2 + a - 2*j.\nAnswer: (j - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 760.08 or 1\/4?\nAnswer: 760.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 0.2. Let q = -0.56 + -0.34. Let w = q + m. Put 1\/10, w, 2 in ascending order.\nAnswer: w, 1\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4)\/(-3)*(-65)\/52*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209472041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 4*i**2 + 2*i + 1. Let y be u(4). Let k(f) = -1 + 4*f + 2 + 0 - y*f. Let v(c) = -6*c + 1. What is 5*k(a) - 4*v(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2333575 and 1304650.\nAnswer: 6725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1.72.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 15. Suppose o*f - 9 = 2*f. Let p = -3830 + 3832. What is the remainder when f is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 40 = -5*p - 5*z, 5*z + 21 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**9\/136080 - s**8\/15120 - s**7\/4536 + 4*s**4\/3 + 2*s + 51. Let a(j) be the third derivative of v(j). Factor a(c).\nAnswer: c**2*(c - 5)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h. Let t(a) = -18*a**2 - 56 - 54*a**2 + 56 - 58*a**2. Give z(t(o)).\nAnswer: -130*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*c + 6*c + 0 - 8 + 8.\nAnswer: 8*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -13*b**4\/2 + 18*b**2 - 715*b + 1169. Find the first derivative of o(t) wrt t.\nAnswer: -78*t**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*h + 2*b, b + 2*b = 5*h - 10*h + 36 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = 2*w - 6*q - 156, 3*w - 234 = 5*q. Calculate the smallest common multiple of 12 and w.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.12 (b) -0.4 (c) 20 (d) 556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) -4 (b) -0.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -82 + 40. Let k = f - 19. Let r = -76 - -74. Which is the third biggest value? (a) k (b) -3\/5 (c) 3\/5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.41 + -101.41. Let z = -98.999939 - v. Round z to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4)*-6*56\/(-12). Let y be (-130)\/(-35) - 2\/o. Suppose -3*q - 3*x + 333 = -x, y*x - 448 = -4*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014005955 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.117, 0.5, -42 in decreasing order.\nAnswer: 0.5, 0.117, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r - 5*p + 80, 3*r + p = 88. Let d be r\/4 + (-6)\/4. Suppose 85 = -g + d*g. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64641.79 tonnes in micrograms?\nAnswer: 64641790000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49974730 to the nearest integer?\nAnswer: 7069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z + 4. Let h be n(1). Find the first derivative of 11*r + 28 + h + 3 wrt r.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 14 = n, w + n = 1 + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, g: 2, o: 2, q: 1, v: 2, z: 2}. Give prob of sequence ozoz.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)*(s\/(s*s\/s**(-4))*s)\/s*s**(1\/4)\/(((s**(-2)*s*s)\/s)\/s)*(s**0\/s)**(-8)*(s**2*s)\/((s*s*s*s**(-2\/29))\/s) assuming s is positive.\nAnswer: s**(-79\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 545*t + 550.\nAnswer: -5*(t - 110)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4098 and 570.\nAnswer: -2335860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 15*a + 326 + 89 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52197847546 + -52197847626.999999898. Let w = d - -81. Round w to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/3 - -13 - 1. Let a(z) = z + 8. Let p be a(-6). Solve -s = p*w + 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s*s*s**(2\/5))\/s)\/((s\/(s\/s**(-1))*s)\/s))\/((s**(3\/7)*s)\/s**(-5)))**38 assuming s is positive.\nAnswer: s**(-2698\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - -11) + -10 + 13 + -6 - 30?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 75, 227, 513, 975, 1655, 2595?\nAnswer: 3837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(2*m - 1 - 2*m + 6*m).\nAnswer: -6*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -114486.7441 rounded to the nearest 1000?\nAnswer: -114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -71920941 divided by 3481\nAnswer: -20661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14517832 and 119.\nAnswer: 246803144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -147. Suppose 217 = 3*l + 4*h, 0 = 3*l - 3*h - h - 185. Calculate the remainder when l is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*((0 - 3 + 2)*(9*k - 6*k + 3*k) + (-2 + 1 - 1)*(2*k - 3*k + 2*k)).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (33 - -1253)\/(2*-1). Let a = 649 + v. Solve 7*t + a = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = -4167349 - 292788. Let n = d + 54685235\/282. Calculate the common denominator of -87\/4 and n.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -30. Let h = -382 + 572. Let p = h - 173. Is n <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Let o = r - 0. Solve -o*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 7*y**2 + 5*y - 7. Let f be b(-5). Suppose 0*z - f = -2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/511 or 1?\nAnswer: 30\/511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 7. Let o be c(6). Find the third derivative of -w**o + 2*w**4 + w**2 - 2*w**4 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57141275 to the power of 1\/2, to the nearest integer?\nAnswer: 7559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 27*y**2\/2 - 89. Let t(d) = d**2. What is j(t(a))?\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25771\/10 - 18\/180. Is y\/21 - (16\/(-14))\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27458378 a multiple of 2026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294 at most 1303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494161\/2 smaller than 747082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -37, -68, -101, -136, -173, -212?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -105*m. Let i(l) be the third derivative of 17*l**5\/60 - l**3\/6 + 2634*l**2. Give p(i(w)).\nAnswer: -1785*w**2 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114128, -228245, -342362?\nAnswer: -456479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 343145169 - 186389.\nAnswer: 342958780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**3\/3 - 5*l. Let d(c) = 65*c**2 + 25*c. Let h(v) = 16*v**2 + 6*v. Let z(r) = 6*d(r) - 25*h(r). Give k(z(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1422146*s. Let h(d) = -4*d. What is h(q(c))?\nAnswer: -5688584*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (-2 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9.120614 centimeters?\nAnswer: 0.09120614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 5 + 2*j + 6 - 8*j**2 + 4*j**2 - 6*j**2 in the form v + b*j**2 + f*j and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*j + 11. Suppose -2*g - l = -j, 7 = 5*g - 5*l - 13. Let w(o) = g - 2 - 5*o + 0*o. What is w(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 494 (base 13) to base 12\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/6 - (-1)\/3 - 2. Let l(d) = 1 + 4*d + h + 10 - 11. Suppose m = -4*o + 17 - 4, 4 = 3*o - 5*m. Let g(r) = 4*r + 5. Calculate o*l(a) - 2*g(a).\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -131, -304, -547, -860?\nAnswer: -1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35569006763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v - 9 = 0. Let h(r) be the first derivative of 5 - 3 - 1 - 2*r**2 + 1 - v*r. Calculate h(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 + 27*t**3 - 63*t**2 + 57*t - 18 = 0 for t.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + 1 + 4 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/6 + 6*b**3 + 40*b**2 + 314*b. Factor y(j).\nAnswer: -2*(j - 20)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14843?\nAnswer: 14843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11282\/3 - 2)*72\/48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(93\/128340*75)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 - 6 = 0. Solve -8 = 5*k - 2*w, 2*k - w - p*w = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 2, g: 1, f: 2, x: 1}. Give prob of sequence qg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6742c (base 15) in base 14?\nAnswer: -87913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25315*f*l*p - 53*f*l - 70*f*p - 1182*f + 4*p + 5 wrt l.\nAnswer: 25315*f*p - 53*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42417543 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 31. Suppose 0 = -2*n + 6*n - 2*i - 16, -20 = -4*n + i. Suppose -y = n - 1. Which is the closest to y? (a) g (b) 1\/8 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 0.04.\nAnswer: -5, -0.3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1520)\/950*(-135)\/4*5\/10\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 352*k*l**2*s**3 - 6*k*l*s - 7*l**3*s**3 - 2*l**3*s - 5*l**2*s**2 + 2*l*s**3 - l*s**2 - 2*s**2 wrt s.\nAnswer: 2112*k*l**2 - 42*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266 + 268 - 534 + 16*n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.5, -1, -4, 1\/3, -169.266, -4\/5?\nAnswer: -169.266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2489, 2439, 2379, 2303, 2205?\nAnswer: 2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -30. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (52\/8)\/((-2)\/(-4)). Let h = -11 + y. Which is greater: 3\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28374 by -834.\nAnswer: -4729\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -1105, -11 in descending order.\nAnswer: 21, -11, -1105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1734 and 1020?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 times 0.1?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 10. Let c be s(-9). Let j be c + (-1)\/(1\/(-4)). Suppose -x = -1 - j. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/2860440 and 161\/1300200?\nAnswer: 14302200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/7 and (-7)\/(-112)*-58 + -1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25222504.93 - 25222492.33920487. Let r = 5.40920491 + c. Let k = r + -18. Round k to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r**2 + 6*r + 10. Let t(o) = o**2 + o. Let f be (-45)\/(-75) + 4\/10. Let g(u) = f*q(u) - 6*t(u). What is the first derivative of g(n) wrt n?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Let t = m - -8. What is the least common multiple of 5 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(2\/31)\/c)*c\/(c\/c**(3\/10))*c**(-9)\/c**(2\/29) assuming c is positive.\nAnswer: c**(-70423\/8990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -51. What is the units digit of (3*y\/(-3))\/((-25)\/10275)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*i - 19627 = -73*i - 4*b, 4*i - 3*b = 26161. What are the prime factors of i?\nAnswer: 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 2224123?\nAnswer: -2224121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 - 22908*y**2\/5 - 322672*y.\nAnswer: 2*y*(y - 11524)*(y + 70)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 97*m - 122. What is a(-4)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60304 is divided by 785.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1775, 3770, 5975, 8390, 11015, 13850?\nAnswer: 16895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - 16. Let o = 22776 - 22780. Put -5, o, y in descending order.\nAnswer: o, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20878433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5436 and 216.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 1. Let k be z(-6). Suppose -3*d + 6*d - a = 10, d = -k*a - 18. What is the remainder when 1\/d + (-54)\/(-4) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 58*w**2 - 5*w + 4. Let d(l) = 2*l**3 - 2*l**2 + 27*l + 28. Let b be d(-1). Let g(y) = 29*y**2 - 3*y + 2. What is b*m(q) + 5*g(q)?\nAnswer: -29*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.071111 to 2 dps.\nAnswer: -2.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 372 = -15*t + 1002. Solve 29*m + 66 = -t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 14*w + 46*w**3 + 2 + 59*w**3 + 4*w**4 - 107*w**3 to the form l + t*w**4 + m*w**3 + b*w + g*w**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5626440 is divided by 18508.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(-2)\/12*-3. Suppose -18 = v + 3*c, -u*v - v + 2*c = 72. Let w be 2\/4*-10*v. What is the greatest common factor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -370 + 710. What are the prime factors of l?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*f**2 - 48*f**4 + 17*f**2 - 6*f**4 - 8*f**4 wrt f?\nAnswer: -1488*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*s - 134, -5*s - 3*u = 28 - 198. Let d = -25 - -6. Let j = s - d. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-91) + 2\/(-7). Let w = -1.9 + -0.1. Let s = 358 + -362. What is the third smallest value in s, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -30462, 4 in descending order.\nAnswer: 4, -4, -30462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/5 + 5400028*l\/5 = 0 for l.\nAnswer: 0, 2700014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**6 - 402*n**4 + 608*n**2 wrt n.\nAnswer: -480*n**3 - 9648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2*1)\/(15\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4 - (3 - 15)) + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2421435 (base 7) in base 12?\nAnswer: -12a219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, -301, 308\/81?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 3\/5, -8, 608653, 2, 1, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 3.9. Let m = 66.37 - 64.37. What is the nearest to m in 2, n, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19\/54 + 140\/27. Calculate the common denominator of -85\/24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 greater than or equal to -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3\/5 - 111*w**2\/5 - 492*w\/5 - 384\/5 = 0.\nAnswer: -32, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(10) + -1*sqrt(10)*3)*4)\/((-6*1*sqrt(5) - sqrt(180))*-4).\nAnswer: -5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27.63 - -32429.7398\nAnswer: 32402.1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812.25 rounded to the nearest ten?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254992?\nAnswer: 2, 15937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 128. Let p be d(-37). Calculate the highest common factor of p and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3277\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3099437 - -80567425\/26. Let o = n + 690. Find the common denominator of o and -45\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 11. Let t be j(10). Solve -2*w - 4*c + 2 = 0, 2*w + 2*c + 3 = t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564795324.\nAnswer: 2, 3, 31, 389, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/4991280 and -89\/120?\nAnswer: 4991280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 5*l**2 - 4*l + 3. Let o be g(4). Suppose -3*s = -5*q + 20, 0 = o*s - s - 10. Suppose -2*h + h + q = 0. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a + 247. What is u(30)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -181 + 2?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167004\/30*(-450)\/(-567) + 2\/(-21).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*r**3\/10 + r**2\/5 - 343*r\/10 - 49\/5.\nAnswer: (r - 7)*(r + 7)*(7*r + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2741*o**2 + 7890*o**2 - 15262*o**2.\nAnswer: -4631*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26836, -53612, -80388, -107164?\n\"Answer: -26776*r - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142958?\nAnswer: 2, 71479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 297583450*f + 4427795485695125.\nAnswer: 5*(f - 29758345)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 19*s**2 - 2*s - 29. Give y(19).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, a: 1, h: 6, x: 1, p: 1, w: 1}. Give prob of picking 2 h, 1 x, and 1 w.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*z = 46 - 140, 2*z + 104 = -5*f. Let j be 2 + 1\/11*f. Let w = 422 - 421. Which is the nearest to w? (a) j (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 5:52 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -659.967 to the nearest ten.\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 81*l + 1. Let x be (0 - 2\/4)*-2. Let q be k(x). Let s = -47 + q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 9*f**2 + 13*f - 8. Let d be w(-7). Sort -3, -4, d.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3))**18\/((k**(-4)*k)\/(k*k**21)))**(-3\/17) assuming k is positive.\nAnswer: k**(-39\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 882\/13 + -14953\/234. Find the common denominator of d and -27\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14186.5255 to the nearest ten.\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, d: 4}. Give prob of sequence md.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/816 and 97\/12?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.241 - -0.23989. What is q rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62647 equal to 62646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -232 - 3?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341555 to the power of 1\/2, to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1468918?\nAnswer: 2, 11, 23, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*k - 32, 2*w + 0*k + k - 24 = 0. Let f = -47260 + 47265. Which is the nearest to 0? (a) 0 (b) 1\/4 (c) w (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/70 + 1\/140. What is the closest to 0.2 in z, -3, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*n**3 - 16*n**3 - n - 4*n**5 - 12*n**2 - 19*n**4 - 7*n**2 + 2 = 0. Calculate n.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23922066 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209608?\nAnswer: 2, 7, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 - 178 = -2*g. Let m = g - 143. Suppose -5*q + 3*q - 4*h + m = 0, -q + 66 = -h. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 599 = -15719. Let n = 2692 + l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4\/2 - 3*q**3\/2 - 234*q**2 + 1674*q - 3240 = 0. Calculate q.\nAnswer: -15, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + 4*i = -280 + 72, -3*r - 107 = -221*i + 231*i + 19 - 2 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8603\/95 - 452\/5. Suppose 20 = 3*t - n, 2*t - n + 0*n - 14 = 0. Let u be 4\/t*(-9)\/(-6). Which is smaller: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*f**3 - 265*f**2 + 265*f**2.\nAnswer: -200*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10312 - 10?\nAnswer: -10322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 (base 8) in base 15?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -112*2747\/(-11256)*(1\/2)\/((-1)\/(-3))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5397778 and 16?\nAnswer: 43182224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y + 43. Let u be c(-8). Suppose -22 = -u*s - 13. What is the smallest common multiple of 69\/6 - (-1)\/(-2) and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 30. Let j be 3\/6*(1 + y). Suppose 0*l - 3*l = -12, 4*n = j*l + 5152. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.209, 0.5, -2 in decreasing order.\nAnswer: 0.5, 0.209, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.8 + 0.2. Suppose 0 + 21 = -7*v. Which is the biggest value? (a) v (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118 and 3?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*h**3 + 1365*h**2 - 1083*h - 3150.\nAnswer: -3*(h - 75)*(h - 2)*(6*h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 12 = 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0227 + 1.1073. Let o = 1.11 - f. Put -1\/27, o, -0.3 in decreasing order.\nAnswer: o, -1\/27, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1243 - 1238. Solve -4*q - 4*x + 8 = 0, -3*x = -3*q + t*q - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2237895, 4475448, 6713001, 8950554, 11188107, 13425660?\n\"Answer: 2237553*h + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -100158.129 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 579691367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*t = -2*m - 35, -5*m - 127 = 3*t. Let b = 26 + m. Suppose -b*v = c + 3, -5*c + 7 = -2*v - 12. Solve 20 = l + c*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 - 155. Let d = s + -66. Let v be (4\/26)\/(d\/133) + -3. Which is the second biggest value? (a) 1\/2 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2372030 and 16604208\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y + 10. Let r(m) = m**3 + 3*m**2 + 1. Let j be r(y). What is the second derivative of 3*h - 6*h**5 + 6*h**j + 5*h**5 wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477 = 748*l - 801*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 4*i + i**2 - 5*i**2 - 1. Let j = 17 - 10. Let b = -3 + j. Give q(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 7*z**2 - 7*z - 8. Let a be t(-7). Let f = -64 - -38. Let k = a + f. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 15*q. Let l be s(1). What is the units digit of 1\/(-5) + 408\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g - 3*c = 15, 17 = -g + 5*c. Let h(y) = -y**2 - 8*y + 2. What is the lowest common multiple of h(g) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 47*u**2 - 397*u + 38. Let p be i(36). What is the nearest to -2 in 5\/2, 1\/4, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 0 + 2\/3*f**2 + 0*f - 8\/3*f**3.\nAnswer: 2*f**2*(f - 1)*(3*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -818 - -122. Let n = -350 - w. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -2 + (-8 - -9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, -2\/15, -2\/19, 303 in descending order.\nAnswer: 303, 147, -2\/19, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 1093630*h - 17497568.\nAnswer: -2*(h - 546799)*(h - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.572 to one dp.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 7520, 5, 2\/59, 0 in descending order.\nAnswer: 7520, 62, 5, 2\/59, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7512967 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -74*x + 38*x**2 + 69*x - 15*x**2. Let d(g) = 126*g**2 - 28*g. Let j = -2046 - -2074. Give j*m(s) - 5*d(s).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Let s = n + 1. Let k(a) = -3*a**3 - 5*a**2 + 2*a + 3. Let f(b) = 5*b**3 + 10*b**2 - 4*b - 5. Let t(x) = 4*f(x) + 7*k(x). Determine t(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*810\/1053.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-6)\/(-45))\/(((-6195)\/(-105))\/(-177)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, -75, -157, -269, -411?\n\"Answer: -15*p**2 - 7*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 228?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 1. Suppose 0 = -3*g + 5*g + 8. Let y be l(g). Suppose -y = 3*o - 0*o, 3*p - 2*o = 5. Which is greater: 2\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 659594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*f + f = 21, -2*p = 4*f + 18. Let x = 11 + p. Suppose -x = 2*w - 0, 5*n + 2*w = 37. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3, 576, 108, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 261, 388, 511?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 4:32 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -2, 0.2, 14\/25, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -4*z + 7. Let b(p) be the second derivative of p**4\/6 + 37*p**3\/6 - 7*p**2\/2 - 121*p. What is the remainder when 46 is divided by b(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254592889.\nAnswer: 3391, 75079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**2 + 6*i + 4. Suppose 0 = 126*o - 132*o + 18. Let n(t) = -8*t**2 + 7*t + 5. Calculate o*n(v) - 4*y(v).\nAnswer: 4*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.5 - 3. Let k = -0.09 + 5.09. Let v = k + -4.9. Sort v, c, -2 in decreasing order.\nAnswer: v, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 + 2*k**3 - 4*k**3 - k**2 + k**2 + 2*k**3 + (-4*k - 2*k**3 + 4*k)*(2 + 0 - 3) + 2870*k**3 + 4 - 5730*k**3 + 2865*k**3 + 2*k**2.\nAnswer: 11*k**3 + 2*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.673406 - -1.67. Round z to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 30 = 0, 4*p - 5*p - 2*b + 4849 = 0. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2363136 and -49\/4778400?\nAnswer: 649862400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, 6, 0.2, 0 in increasing order.\nAnswer: -176, 0, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -723 - -536. Let g = s - -426. What are the prime factors of g?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f**4\/4 - 113915*f**3\/4 + 341325*f**2\/2 - 341185*f + 227410 = 0. What is f?\nAnswer: 2, 22741\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) 4 (b) 0 (c) -2\/49 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(20475\/(-50))\/(-21)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -24. What are the prime factors of 230\/3 - (a\/(-6))\/1?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 148932560\nAnswer: 1\/148932560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 309321554934.129881 + -309321298178. Let f = -256756 + q. Let v = 0.13 - f. What is v rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14 + 12\/7. Let m(l) = -7*l - 6. Let x(h) = -13*h - 13. Let z(w) = -9*m(w) + 4*x(w). Calculate the remainder when z(f) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, n: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 113472577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1875 and 2631875?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*z + 33 = -3*z, 0 = -2*y - 2*z. Let g(j) be the third derivative of 1\/6*j**y + 0 + 1\/20*j**5 + 5*j**2 + 1\/8*j**4 + 1\/120*j**6 + 0*j. Give g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -3*g**2 - 17 + 7\/3*g**3 - 1\/4*g**4 - 4*g. What is h(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.44 - 30.44. What is the closest to -1 in b, -0.5, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45595 is divided by 380.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 12*y**2 - 24*y - 69. Calculate b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-22)*(-11)\/9*47025\/(-950)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 44 = -f, 2*u = f - 3*u + 48. Let j be f\/(-4) + -4 + -3. Solve j*o + 8 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u*((u**(-1\/4)*u)\/u*u)\/u))*u)\/u)**43 assuming u is positive.\nAnswer: u**(301\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/17*(-12)\/(-48)*-1462?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/2 - 231*y\/2 - 225.\nAnswer: -3*(y + 2)*(y + 75)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 3*g**2 + 5*g - 3. Let s be d(4). Suppose 4*m = 5*m + s. Let x be (2 - m)\/9*12. Solve -14 = x*r - n, n - 6*n = -10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.05, 10\/3 in decreasing order.\nAnswer: 10\/3, 0.2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3013 - 12?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 5*x - 3. Let k be b(-3). Suppose 0 = -5*r + 2*r - k. Put r, 3, -5 in descending order.\nAnswer: 3, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/2 + 3039*n**3 - 183015*n**2\/2 + 687150*n = 0. What is n?\nAnswer: -6108, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + 34. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -40415.\nAnswer: 20207.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2413*h - 2413*h - 4*h**2. Let j(v) be the third derivative of 0*v + 1\/12*v**4 + 0*v**3 + 0 + v**2. Give f(j(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 996.1429 nanometers in kilometers?\nAnswer: 0.0000000009961429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513 = -83*z + 234 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:14 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.4, -1.4, 161?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 - -179. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 11*x - 25 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10385 times 1403\nAnswer: 14570155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-14))\/((8 + -7)\/49). Suppose 24*o = 150 + w. What is the least common multiple of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 460851290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 34*p - 91*p + 9958 = 121*p + 34*p, 3*p - 141 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/252)\/(2\/(-28)*-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 (base 16) in base 4?\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(0 + (sqrt(891) + -2 - sqrt(891))**2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from uckdukakuuddu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ac1d4c + 2?\nAnswer: -ac1d4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*x + 3, -12711*q = -12706*q + 3*x - 22*x - 33 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 3 + 0 + 4. Let c = -2 + f. Suppose -c*h - 3*o + 399 = 27, h = o + 114. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*l + 17 = 181, -5*l = -5*f + 260. What are the prime factors of 2592\/f - (-1*1 - -4)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a second in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 31. Let s(o) = 17*o**2. Give p(s(q)).\nAnswer: -17*q**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1776)\/(-274)*(-2)\/66. Let w = n - -2\/137. What is the nearest to 1\/6 in w, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 + 2*m - 51. Let i be (-20)\/12*-3 + 3. Is 7 a factor of t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 19 = s + 195, 4*c = -3*s + 725. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 584. Let p = 555 - h. Solve -5*y - 5*b + 2*b = p, -2*y + 5*b - 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*g - 117 = 0, -4*g + 128 - 6 = -6*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88810 and 1927177?\nAnswer: 19271770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4774966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.54 + 0.54. What is the second biggest value in -68, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e41 (base 16) in base 11?\nAnswer: 8995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 - 31*p**2 - p + 82. Let i be d(10). Let q(g) = 2*g**2 - 8*g + 9. Let r be q(6). Let x = r + i. Solve -v + x = 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.3 + 24. Which is the closest to 1\/3? (a) -1 (b) d (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(288))*-6.\nAnswer: -72*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -7*q**6\/120 - 4*q**5\/15 - 2*q**4\/3 + 31*q**3\/6 + 75*q**2. Is t(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(4*b**3 - 2*b**3 + 0*b**3) - b**3 - 2*b**3 + 2*b**3 + 3*b**3 + b**3 - 3*b**3 - 7 - 15*b + 5 - b**3 - b**2 + 17*b.\nAnswer: b**3 - b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/2396490 and 7\/21590?\nAnswer: 2396490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-1 + sqrt(1377) + 2 - sqrt(1377)) + sqrt(1377) - 5*sqrt(1377)*-2 - (sqrt(1377) + -3 + -1)*5) + -5).\nAnswer: -270*sqrt(17) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 508601581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -22 and -5404\/47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:51 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130206?\nAnswer: 2, 3, 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-30 - (-37 + 50)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000441 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1615 - -2313. What is the smallest common multiple of b and 16?\nAnswer: 5584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 31*m + 10985. Let i(p) = -p**2 + 317*p. What is q(i(k))?\nAnswer: -31*k**2 + 9827*k + 10985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 2*o**3 - 2*o**3)*(-1 - 2 + 1) - 2*o**3 + 5 - 5 - 2*o**3 + 3*o**3 + 2*o**3 + (o**2 + 0*o**2 + 0*o**2)*(4*o + 0*o - 3*o) - o - 2*o**3 + o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 12\/17 (c) -1\/21 (d) -5 (e) -0.16 (f) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 8538 = 285*p, -106 = 2*p + p - 149*l + 145*l for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmkmkkmbmmmbmk.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/147 in -2\/7, 2\/13, 0.2, -1, 9\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 406\/(-240) - (-42)\/112 - 0\/(-172)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 1, o: 2, f: 4, r: 4, x: 2}. Give prob of sequence ff.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 7*g - 2. Let u be t(-7). Let y be ((-5)\/(-75))\/(u\/4). Let p be 1 + -1 - 2*(-1)\/4. Which is the second biggest value? (a) y (b) p (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -635467.084 rounded to the nearest 100?\nAnswer: -635500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 24 = -2*r + 2*w, 123 = 4*r - w. Calculate the highest common factor of r and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3291834040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 5)\/2*144. Let m = s + -65. Let x(p) = -3*p + 7. Let l(h) = 2*h - 5. Determine m*l(r) + 5*x(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*v + 10. What is the nearest to v in -3\/2, 1\/5, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-714)*21)\/(((-180)\/(-56))\/9)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3851\/13503 + -1\/1929. What is the closest to -1.53 in -7, -2\/3, 3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*m - 2*n - 0*n, 0 = -3*m + 3*n + 27. Let x be (m - 3) + 0 - -1. Suppose -x*j = j - 18. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32461, -3, 3, 76, 4, 5 in ascending order.\nAnswer: -3, 3, 4, 5, 76, 32461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -238*z**3\/3 - z**2 - 56*z + 307. What is the second derivative of h(a) wrt a?\nAnswer: -476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -5 - (63 - 52).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**4\/15 + 2*s**3\/3 + 8*s**2\/5 - 15*s - 5. Let m(p) be the first derivative of r(p). Factor m(h).\nAnswer: 4*(h + 1)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 915567916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Suppose -5*i = 2*z + m*z - 100, -5*z = 2*i - 91. Let f = 28 - z. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2. Let a(p) = 779*p**2 - 7750*p. Calculate a(l(s)).\nAnswer: 3116*s**4 + 15500*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 0.316.\nAnswer: -6.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 3*v**2 + 10*v + 2. Let s be b(-5). Suppose -4*o = -s*x + 12, -2*o + 6 = -7*x + 9*x. Solve 3*f = k + x*k + 8, 5*f + k - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 121 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21934 + 10938. Let l = 198037\/18 + p. What is the common denominator of 44\/45 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 5*k - 130 = 0. Which is smaller: -73\/7 or k?\nAnswer: -73\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 18509, -2\/9, 1\/3, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6.03. Let u = -1.97 - r. Let h be ((-1)\/5)\/(-4 + (-42)\/(-12)). What is the nearest to u in 2\/7, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -145*z. Let r(y) = 4*y + 3. Calculate n(r(f)).\nAnswer: -580*f - 435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 1921354240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**6\/120 - j**5\/15 - 5*j**4\/24 - j**3\/2 + 2*j**2 - 12880*j. Suppose -4*q = -2*q + 6. Give p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let k(s) = -64*s - 1600. Let z be k(-25). Solve m*q + z*q = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 47, -6\/13, 2?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328402 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1999932080.5 to the nearest 100000.\nAnswer: -1999900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*d - 16*d = -701294. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10112 + 100210?\nAnswer: 30032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132122 (base 4) to base 2.\nAnswer: 1011110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (2*sqrt(108) - sqrt(108)))\/sqrt(6)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-120)*-44*12\/(-22))\/(28\/(-1330)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 65 = 45*h - 183 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 - 0. Let b = t - -1. Let s = b + 0.6. What is the biggest value in -0.5, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -722 + 446. Let q be ((-2)\/6)\/(4\/m). Let j = q - 14. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 4856. Let t(y) = -4*y**2. What is d(t(s))?\nAnswer: 8*s**2 + 4856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 544746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-10\/3)*g\/g**6*(g**(-2\/55)*g)\/((g\/g**11)\/g) assuming g is positive.\nAnswer: g**(599\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -353.91 - -357. Let g = -2.99 + y. Which is the biggest value? (a) 13\/5 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3535369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 643169 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51416083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -18.37. Let t = -2.63 + a. What is the nearest to -2\/3 in t, 4, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(648) - 1*sqrt(648)*4))\/(sqrt(216)*2 - (sqrt(96) - sqrt(96)*-1 - sqrt(96) - sqrt(96))).\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**3 - 35*v**2 - 50*v + 13. Is j(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 - 8040*d + 8044 = 0.\nAnswer: -2011, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8490915 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.1, -2.9571, -0.07 in ascending order.\nAnswer: -4.1, -2.9571, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -314290 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389559\/20 + -19473. Let v be 1 + (-1272)\/9 + 1. Let s = -739\/6 - v. Find the common denominator of s and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2750464 and 14336.\nAnswer: 19253248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 354, 0, -0.1, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5922601 nanograms in milligrams?\nAnswer: 0.0000005922601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4645 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/6)\/7*(-9)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 7*f = -56 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 84\/(-45) + (-6)\/(-225)*-5. Which is the third biggest value? (a) 34 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 10, 5, 0.12, -2\/13, -0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -12. Let z(q) = 2*q**2 - q - 1. Let w(d) = d + 1. Let k be w(-3). Calculate the remainder when h is divided by z(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + c = 0, 2*m - 8*c - 71 = 49 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 9*p**2 + 10*p + 3. Let g be x(-10). Suppose -3*i - g - 3 = 0. Let n be ((-2)\/4)\/(3\/(-24)). Sort 3, i, n in increasing order.\nAnswer: i, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u = 0. Suppose -2*b + 2*q - 8 = u, -3*b + 2*q + 3*q = 18. Let h = 293\/2158 - -3\/166. What is the second smallest value in -0.1, b, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16709027 divided by 9?\nAnswer: -16709027\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, l: 1, g: 1, i: 6, c: 6}. What is prob of sequence cc?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 7*k**2 + 5*k + 6. Let a be t(-6). Let d be 51\/a + 2\/(-8). Which is smaller: d or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7279420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2370025 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22b4bc (base 13) to base 9\nAnswer: -1486250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*r - 52*r + 18. What are the prime factors of (-213)\/(-6 + r - 1)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121\/3 + 40. What is the second biggest value in -0.5, -1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**2 + 2*v**2 + 2*v**2 + (4*v - 7*v + v)*(-656 + 348*v + 656).\nAnswer: -698*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.7704858 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 = 0, -2*d - 3 = z - d. Calculate the remainder when 67 is divided by -2 + 19 + (-1 - z).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11214?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -538*b**2 + 212*b + 1292. Find the first derivative of h(q) wrt q.\nAnswer: -1076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 - 48*g + 155. Give o(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -183*x + 176*x + 8288. List the prime factors of x.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1392\/3430 + (-2)\/5. Let l = -2\/15748379 + -248194446866\/48615245973. Let p = l - w. Calculate the common denominator of p and -4\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-53)\/2 + (-2)\/4. Let m = 52 + v. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11165, -16838, -22539, -28280, -34073?\nAnswer: -39930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 83.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 399879*s**2\/2 + 133287*s\/2 - 1.\nAnswer: (3*s + 1)*(133293*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Put -1, -3, d in decreasing order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -5*x + 40, 949*x - 953*x + 4*r = -40 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 364090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k + 36 = 0. Suppose -9*y + 49 = 4. Calculate the remainder when k is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**2 - k + 1. Suppose 3*b = -x + 546, 2*b - 377 = -7*x + 2*x. Let s = b + -144. Calculate the remainder when p(4) is divided by s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:35 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/4 + 8*g**3\/3 - 5*g**2\/2 - 4*g + 157. What is o(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjsp. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Let z = 7 - c. Suppose -4*v - 5*s - z = -20, 0 = -3*v - 5*s + 9. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147522128 and 3382.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1008662431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.5, -0.1, 9\/58 in ascending order.\nAnswer: -3\/2, -0.1, 9\/58, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u**3 + 1. Suppose 2*f + 3*t + 42 = -3*f, -f - 2 = -t. Let y = f - 11. Let q = -18 - y. Determine s(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*p)**2*(p*p**2)**(3\/5) assuming p is positive.\nAnswer: p**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 36*m**2. Let b(g) = 4139978*g**2. Give l(b(z)).\nAnswer: 617019042257424*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -3*y**7\/10 + 37*y**5\/60 - 8*y**2 - 3*y. Find the third derivative of s(i) wrt i.\nAnswer: -1512*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - f - 22*f**2 + 24*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtttttmttmmmttttmmt. What is prob of sequence mmtt?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(-432)*24\/(-84)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qono when four letters picked without replacement from noooqoooqqq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*s - 170*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 45*r + 16 + 55*r - 30 in the form a*r + c and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53716*p + 53853*p + 7638 + 3459 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - x - 87. Suppose -h + 5*z + 25 = 0, 0*z + 10 = -2*h - 2*z. Let t be v(h). Find the common denominator of t\/(-4)*(-2)\/(-3) and -151\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 5*w + 8. Let v be m(6). Suppose 0 = v*d + 3*k - 19 - 108, 4*d = k + 233. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 39. Let p be 5 - 3 - (-12)\/b. Let o = -0.3 + 0.6. Put p, -0.3, o in descending order.\nAnswer: o, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*a**2 - 46*a**2 - 36*a**2)*(3*a - 4*a + 2*a) - 5 - 8*a**3 - 2*a**2 + 5 in the form t*a**3 + y*a + z + l*a**2 and give t.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1802639 to the nearest integer?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/((6*(-200)\/15450)\/(-8))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1416393650 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 8176057.\nAnswer: -40880285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = -6, -5*p + 140 = 5*q. Let y = q + -24. Suppose 3*b + 2*j - 6 = 44, 3*b - 2*j - 46 = 0. Solve 0 = -3*h + y*k + 12, 0*k + b = 3*h + k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from cccnncccnccccncccc.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1195363 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4380285, 4380291, 4380299, 4380309, 4380321, 4380335, 4380351?\n\"Answer: y**2 + 3*y + 4380281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**3 + 6*c**2 - 5*c + 7. Let f(o) = 5*o**3 - 6*o**2 + 4*o - 7. Let d = -8 - -4. Let m(z) = d*y(z) - 3*f(z). What is the units digit of m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m**(-6\/13)\/m)\/m)*m\/(m*m**(-22)*m))\/(m*m*m*m*m**(-3)*m*m*m*m)**(11\/5) assuming m is positive.\nAnswer: m**(162\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - -d4?\nAnswer: 10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47969 or 47970?\nAnswer: 47970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + 4*c. Let m(y) be the second derivative of -y**6\/120 - y**3\/3 - 4*y**2 + 16*y. Let h(a) be the second derivative of m(a). Calculate b(h(o)).\nAnswer: -27*o**4 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 4*v**2 + 4*v - 4. Let n be q(-5). Let s(u) be the second derivative of -u**3\/6 - 12*u + 6. Let t(x) = -x**3 + x + 1. Calculate n*t(c) + s(c).\nAnswer: -c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 1\/3 (c) 0.5 (d) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040.546 centimeters in millimeters?\nAnswer: 30405.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10166 (base 7) in base 2?\nAnswer: -100111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -31 + v + 57 - 27. Let a(p) = -5*p**3 - 30*p + 30. Suppose 0*o - 2*o + 2 = 0. What is o*a(h) + 30*s(h)?\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u. What is the lowest common multiple of 11 and z(3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -89, 64, -0.06, 0.5?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 709, 1214, 1705, 2176, 2621?\n\"Answer: -z**3 - z**2 + 515*z + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 3353.\nAnswer: 26824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 3*k**2 + 2. Let a(d) = -5*d - 1. Let y be a(1). Let o be 4\/(4*(-3)\/y). Let l(g) = -g**2 + 2. Let f be l(o). Calculate s(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (945\/216)\/((-375)\/100).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2974, 5972, 8970, 11968?\nAnswer: 14966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1269 - 1243. Solve -5*i - 4 = 5*m + d, -3*i + 3*m = -12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 6 - -16 - 3. Let d be ((-4)\/f)\/(2\/4). Put -4, 0.3, d in descending order.\nAnswer: 0.3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1, 5, -0.308?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -25. Suppose 0 = -c - f - 3, -5*f = 4*c + 19 - 2. Is c\/q + 307\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.08 - 4.25. Let i = 0.17 + g. Let f = 7 - i. Which is smaller: -6 or f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53494?\nAnswer: 2, 7, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -12745?\nAnswer: 12737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/6 + 311*m**3\/6 + 1210*m. Let x(r) = -2*r. Give f(x(l)).\nAnswer: -8*l**2 - 622*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)\/(l*l**(-12)*l*l)*(l*l**(-4)*l*l)**(-21) assuming l is positive.\nAnswer: l**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 10\/((-12)\/(-30) + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*j*v + 4033073*j - 2370*v wrt v.\nAnswer: 31*j - 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 5. Let n be g(-7). List the prime factors of 224\/n + (-4)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30493419, -60986828, -91480239, -121973652, -152467067, -182960484, -213453903?\n\"Answer: -d**2 - 30493406*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5957*i + 29775. Give u(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 26*c - 5. Let n(i) = -129*i + 24. Suppose -5*j = 5*f + 15, 26 = 3*j + f + 39. What is j*n(k) - 24*p(k)?\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -0.11459 (c) -0.5 (d) -0.3 (e) 2\/81 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 125. Suppose -10 = -5*i + 5*m, -3*i + 9*m - 4*m = -s. Sort i, 2, 5 in descending order.\nAnswer: 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1791091 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4 = -40. Suppose -v = -10*o + 18. Solve -o*q = -6*q + 3*z + 21, 19 = 5*q - z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 6 + 3*w + 5 + 28 - 2 - 10.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*a = -18, -3*g - a + 38 = -0*g. Suppose u + 4*u = m + g, -2*u + 3*m + 10 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - c + 1. Suppose v - 2*n + 4 = 0, 3*n - 10 = -v + 1. Let m(a) = -a**3 - 2*a**2 - 2*a + 2. Calculate v*m(z) - 4*f(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -78089*g + 625079. Give h(8).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*t**2 - 87*t**2 + 22*t - 11355 + 21425 with respect to t.\nAnswer: -210*t + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m - 1192098 = -1193286 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:37 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/54 and -61\/2412.\nAnswer: 7236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11997 = l + 4*l + 3307. Does 145 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(3\/16)\/g)\/g))\/(g*g\/g**(4\/5)))\/(g**(-13)\/((((g\/g**(-15))\/g)\/g)\/g)) assuming g is positive.\nAnswer: g**(2209\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n - 1. Give f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Suppose -3*r + 8 = -2*r. Let t be p(r). Suppose 5*k - 90 = -2*b, -2*b + k = -0*k - 78. Calculate the greatest common divisor of b and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(143)*-2)\/sqrt(11) + -4 + sqrt(468) - (sqrt(156)\/((sqrt(48)\/sqrt(4) + sqrt(12))*-5) + -5))**2.\nAnswer: 41*sqrt(13)\/5 + 21453\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/132 and -1\/570.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 715899 or 3579499\/5?\nAnswer: 715899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30 + 21)\/((-3)\/2). Let d = -15\/2 + k. Which is the nearest to 0? (a) 2\/11 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 + 15.13.\nAnswer: 14.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {l: 1, k: 1, n: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 12*y - 34. Give a(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 31365*z**2 - 49235175*z - 147423375.\nAnswer: -5*(z + 3)*(z + 3135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 62 = b + 5*d + 184, 108 = -9*d. Suppose 0 = -s - 3*y + 20, 2*s - y + 1 - 62 = 0. Is s bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 90.1. What is the nearest to z in -0.3, 2\/5, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 9\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 10*n**2 + 23*n + 11. What is p(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 3 - 12 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 36, 46?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2208, 5459, 26244, 66705, 133400?\n\"Answer: 1093*a**3 + a**2 + 13*a - 3315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i*k*m - 55*i*k - 27804*i + 10*k*m - 2890*m with respect to m.\nAnswer: 5*i*k + 10*k - 2890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 91d1 (base 14) to base 13\nAnswer: b54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -262\/211 or -2?\nAnswer: -262\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -57*i + 1843. Calculate the remainder when v(-76) is divided by 206.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 + 8 - 10 + b - b**2 - 2*b**3. Let c be (-1)\/2*(-5 + 1). Calculate k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*u + 4882845, -c - 106096 = 3*u - 1082697. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:44 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785*k**3\/2 + 352467*k**2\/4 - 44044*k - 225\/4 = 0. What is k?\nAnswer: -225, -1\/785, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 181081540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from ggggggmqgqmq?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*z + 6, -z + 0*z = 1. Let g = l - -2. Find the third derivative of -t**2 - 39*t + g*t**3 + 39*t wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-15) + 11\/(-77) + (-136)\/(-1785).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6*r = 1530. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -74529.\nAnswer: -2\/74529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 41.\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 2c7?\nAnswer: -2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from dddidddd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.482 + -0.852. What is k rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + n**2 - n. Give c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*g + 8, -1 = -2*v - 0*v - 3*g. Let x(t) = 2*t**2 + 2*t - 2*t**v + 2*t**2 + t**3 - 6*t**2. Does 3 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -613460 (base 13) in base 9?\nAnswer: -4230142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35079 divided by -1\nAnswer: -35079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5 (c) -2.8 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**3*x**2 - 37*r**3*x + 585*x**2 wrt r.\nAnswer: -3*r**2*x**2 - 111*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2608, -5218, -7828, -10438?\n\"Answer: -2610*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -259\/120 - -95\/24. Which is the closest to s? (a) 0.2 (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/31)\/(a\/(a**(2\/61)\/a)))\/((((a**8*a)\/a)\/a)\/a)**7)**(-34) assuming a is positive.\nAnswer: a**(2822680\/1891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 119*z**2\/4 + 351*z\/4 - 9\/2 = 0.\nAnswer: -3, 6\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 9 = -5*b. Suppose 0 = -2*s + b*k + 4, 2*s - s - 7 = 4*k. Is -3 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 44*t - 4662. Determine j(106).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 7*r**6\/720 - 2*r**4\/3 + 17*r**2. Let b(o) be the second derivative of p(o). Let h(n) = -2*n. What is h(b(j))?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.02 (b) 2\/45 (c) 250 (d) 3 (e) 4 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lclc when four letters picked without replacement from {c: 5, l: 15}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7070, -20870, -43870, -76070, -117470, -168070, -227870?\n\"Answer: -4600*l**2 - 2470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*k**4 + 138*k**3 - 12370*k**2 + 47512767 wrt k?\nAnswer: -72*k**3 + 414*k**2 - 24740*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((55\/11)\/5)*2*(-5)\/35?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -801, -28, -0.3, 0.3?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -1 - 5. Suppose 0*n = -k*n + 12. Suppose -3*w + 12 = -5*f, 3*w = -5*f + n*w - 4. Is 2 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 4, s: 4, y: 12}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1353, -91 in ascending order.\nAnswer: -91, 7, 1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15\/15*-11*-1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.58 + 30001765.\nAnswer: 30001762.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4747717?\nAnswer: 13, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203 + -201. Suppose 5*m - 3164 - 1105 = -2*g, -f*m + 1708 = g. Round m to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 20 - 5255*x + 10493*x - 5246*x + 1. Let y(s) = 5*s**2. Calculate y(n(p)).\nAnswer: 320*p**2 - 1680*p + 2205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9 and 456.\nAnswer: 455.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3545 = 40*m - 9095. What is the least common multiple of m and 4?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -85 + 93 - (-3 + 2) - 108?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 300, 710, 1284, 2022?\nAnswer: 2924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 5\/2352*g**8 + 0*g - 10*g**2 + 1\/84*g**4 - 11\/420*g**5 + 0 + 0*g**3 + 1\/40*g**6 - 17\/1470*g**7. Factor x(d).\nAnswer: d*(d - 1)**3*(5*d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030*j + 8298 - 30639 - 28723 = 22066 for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -8*n + 20, -a + 5*n - 62 = -67 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 54320*i**2 + 128*i + 1688. Let g be p(-11). What is g rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/78 = -272255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100339 + 100339 - 19*j.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 735 - 736. Let t = 116 + -115.96. Which is the nearest to m? (a) t (b) 2\/9 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 29. Suppose -y*z - 8 = 0, w - 28 = -5*z + 4. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 2*g**3 - 1 - 14.\nAnswer: -2*g**3 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b - 105274?\nAnswer: -105257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -38*t**3 + 383*t**2 - 66*t + 387. Give b(10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6069843 is divided by 173.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/11 (b) 0.6 (c) -6 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158197 = -4344*n + 46088 - 306816 - 28507 for n.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74 - 50*j**3 + 155*j**3 + 156*j**3 + 10*j**3 - 2*j**2 - 272 wrt j.\nAnswer: 1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = -9*z - 113, -263*z - 2*q + 25 = -268*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110569276 and 142828?\nAnswer: 773984932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1943 + 16755. What are the prime factors of c?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffnppnfpsffxbbffn. Give prob of picking 1 n, 1 p, and 1 x.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*y + 2, 0 = 5*v - 3*y + 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 19*o**2 - 3 + 3 + 7 - o**3 - 7*o**2. Let t be y(12). Suppose 0 = -t*d + 3*d + 224. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 6149\/4, -17, -7\/4, -3 in decreasing order.\nAnswer: 6149\/4, 1\/2, -7\/4, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2, -0.33, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0 = 2*w + 8, -3*h + 12 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2212*l**3 - 2246*l**3 + 4512*l**3.\nAnswer: 54*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157 and 628.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-100)\/(-36) + 4\/18. What is the third derivative of 0*a**2 + 3*a**6 - r*a**2 + 5*a**2 wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1901 is divided by 184?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -207380?\nAnswer: -207380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 b when three letters picked without replacement from {n: 1, x: 1, b: 1, m: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -208 divided by 1838\nAnswer: -104\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255 - 34?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 16*v**2 - 7*v + 8. Let j(q) = -19*q**2 + 8*q - 7. Let w(s) = -6*i(s) - 5*j(s). Let x(u) = u**2 - u + 7. Give -3*w(d) - 5*x(d).\nAnswer: -2*d**2 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -781855 or -781856?\nAnswer: -781856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -11968 (c) 233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -28*u**2 - 155*u + 7. Let p be d(-5). Solve p = -8*o + 49*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 7:54 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/333 + 325\/1332. Suppose -5*p + 225 = -2*p. Suppose p = 4*j + 83. Which is the third smallest value? (a) j (b) 3 (c) y (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 43 = -15*w. What is the remainder when (-204)\/(-10) - 6\/15 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwsrrttttttwrrtrrrrr. What is prob of picking 2 r?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.26 + -0.26. Let l = 3.9999946 - g. What is l rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i**4 - 666268*i**3 + 5548046776*i**2 + 14431824880*i - 19979205408 = 0.\nAnswer: -18\/5, 1, 16658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22410.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8261927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1761 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-four fifths of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(1\/9)*o*o*o**9)**35\/(o**(2\/3)\/(o\/o**(-6)*o))**(-3\/37) assuming o is positive.\nAnswer: o**(150022\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -3 (b) 270\/1087 (c) 3\/2 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 241, -1\/5, -1\/2 in decreasing order.\nAnswer: 241, -1\/5, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.396 - 0.216. Let z = q + -12. Let o = z + -6.1. Sort -4, -1, o in decreasing order.\nAnswer: o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**5 + 4695*l**4 - 1281430*l**3 + 28811420*l**2 + 20683333320*l - 20710868000 = 0.\nAnswer: -100, 1, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 112 - 157) + -7 + 1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/5)\/2 + -169. What is the tens digit of ((-24)\/(-20))\/(((-6)\/h)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/79, 1, 1\/3, -4, 6, -2\/3 in descending order.\nAnswer: 6, 1, 1\/3, -1\/79, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b. Let u(t) = -153*t**2. Calculate j(u(l)).\nAnswer: -918*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 6.4. Let f = 0.1 - w. Which is the second smallest value? (a) 3 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 31*f**2 + 20*f + 1492. Give m(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23667 divided by 3\nAnswer: 7889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/6*(-47)\/48 and 33\/10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221986165 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*p = -21, -6*o + o - 47 = -2*p. Suppose 6*r + 35 = -1. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.338101991 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 - 92812\/(-6). Let t be 16\/r*(-28382)\/16. Let b = t - -2\/1289. Find the common denominator of 107\/18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/5))**31)**(1\/12) assuming s is positive.\nAnswer: s**(31\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*8\/1440*4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/933, -0.1, -23, -2\/3, -2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 670530*c**2 + 41*c + 11 wrt c?\nAnswer: 1341060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -9*j - 73. Let c(a) = -a**3 - 15*a**2 - 27*a - 9. Determine c(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w - 1\/8*w**4 + 1\/60*w**5 + 5*w**2 + 1\/6*w**3 + 0. Let y be (-6)\/(-3 + -3) + (4 - 1). Calculate a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = 316. Suppose 5*y - 1 = -5*a + 4*a, a - 13 = -y. Calculate the remainder when g is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from bmbxmxxx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -9. Let v = b - 2. What is the tens digit of (-24)\/(-4)*(-10)\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.2 + 10.8. Let w = 72 - z. Let k = w + -24.4. Sort -2, k, -3 in ascending order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5269.\nAnswer: 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 27645 = t. Suppose -c - 3884 - t = -5*m, -2*m + c + 3764 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1826542 is divided by 29943.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705366 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*6\/(-105)*5. Let y be 2 + 0\/(-1 - 0). Suppose -4*g + 2*u - 3*u + 4 = 0, -3*g - y*u = -8. Is o < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94023800 divided by -9425?\nAnswer: 9976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*r + 11 = -q, q + r + 13 = 0. Let d be (q\/(-4))\/((-10)\/(-20)). Let 1\/3*v**d + 0 + 0*v + 0*v**2 + 2\/3*v**4 + 1\/3*v**3 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 23, 17, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*((0*u + 2*u - 3*u)*(0 - 2 + 3) - u - 1 + 1 + 4*u - 4*u + 3*u + (0 + 2 + 1)*(35 - 35 + u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.62 + 258.62. Let t = i - 253.01732. What is t rounded to 4 decimal places?\nAnswer: -0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124545 and 207?\nAnswer: 373635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/7 + 530*c\/7 - 292128\/7 = 0.\nAnswer: -537, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 9*f + 2. Suppose -5*m + 40 = 3*l + l, -2*m - 7 = -3*l. Let o be n(m). Suppose -3*q + q + o = 0. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 + 395\/3. Suppose -2*l - 4*p = 52, -28 = l - 7*p + 8*p. Let h be -1*(2 - l\/(-18)). What is the closest to h in w, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683653 is divided by 225.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.916 - 15.13. Let l = u + -0.776. Let x = 0.01 - l. Which is bigger: x or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 7*l**2 - 8*l + 3. What is b(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**8\/14 - j**4\/3 - 8*j. Find the third derivative of b(q) wrt q.\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639579 is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1936) + sqrt(1936))\/(sqrt(24)\/sqrt(3)*5).\nAnswer: 22*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 420*x**2 - 1270*x - 501. Give f(-423).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61591681.4205547 - 8339483.4206217. Let l = -53252265 + o. Let y = -67 - l. What is y rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48*(-2)\/(-30))\/((-11)\/(-22)*(-8)\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13.288 + 6762\nAnswer: 6748.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 8 + 8*q - 4*q**2 - 6*q + 10*q. Let j be x(-14). Suppose j = 5*f + 5. Solve -4*a - 35 = 3*v, 5*v - f = 3*a - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -38*q**2 + 27*q + 58. Determine j(-2).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44277\/1065506 - -101\/2298. Find the common denominator of w and 24.\nAnswer: 4173","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from nynynnynnnyyn.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ltltltlttt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 58372, 3\/5, 2\/5 in increasing order.\nAnswer: -1, 2\/5, 3\/5, 58372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*m*s**4 - 5*m*s**3 + 12*m*s + 17*m - s**2 wrt s?\nAnswer: -300*m*s**2 - 30*m*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.069 * -29\nAnswer: 2.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -6, -33?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**6\/40 + 5*s**4\/12 + s**2 - 3. Let u(j) be the second derivative of q(j). What is the second derivative of u(z) wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*d - 2*d - 7, -k + 4*d - 8 = 0. Suppose -20 = k*s - 4. Is 8 a factor of (-3 + (-1 - 0))*s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3661 + (-11 - -6) + 5\/(-15)*-21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, -0.147, 2, 0, -7?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3\/10, 4, 128\/21, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 230*n + 917. Let v be j(-4). Let o be 14\/(-10) + (4 - 3). Sort o, -10, -0.3, v in descending order.\nAnswer: -0.3, o, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a + 6. Suppose 4*s + 73 - 130 = -3*m, 2*m = 5*s - 54. Solve -a*f = 4*x + 2 + 1, -3*f - s = -x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(33\/30 - 6\/4). Are k and -0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 39*h + 13. Let n(z) = -z**2 - 19*z - 6. Let x(y) = -13*n(y) - 6*w(y). Let c be x(-14). Solve 3*o - c = -5*a, -2*a - 8 = 2*a - 4*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 9 + 12 = i, 5*l + 6 = 3*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173428080 divided by 28.\nAnswer: 6193860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 7. Let h be g(-7). Let w(o) = 10 + h - o - 24. Calculate w(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33379 divided by 23\nAnswer: 33379\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g**(9\/4)\/g)\/g*g**17*g assuming g is positive.\nAnswer: g**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2907058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 13. Let o = h + -23. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 divided by -6?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18416789, -36833593, -55250397, -73667201, -92084005, -110500809?\nAnswer: -128917613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-34)*y)*y\/((y\/y**(1\/10))\/y))**(-36\/11) assuming y is positive.\nAnswer: y**(-6498\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2376736 (base 8) in base 5?\nAnswer: 131423224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 17*x**2 + 7. Let t be (40\/(-6) + 1)*-3. Let j be p(t). Suppose j = 3*q - 83. Calculate the highest common divisor of q and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 463798*h - 53777146201.\nAnswer: -(h - 231899)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, v: 2, c: 1, r: 3}. Give prob of sequence frcv.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a factor of 4895827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c + 3*c + 6486 = -4*c - 62*c for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, -1, -78, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -167.6734 in descending order.\nAnswer: 3, 0, -167.6734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + 1 + -6 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8782003.5 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 20\/(-3)*90\/60?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 95045, 190086, 285127?\n\"Answer: 95041*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-2) - (-2)\/4. Suppose -2*q = -l - 2. Let i(y) = -y**2 + 6*y - 6. Let w be i(q). Calculate the greatest common factor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 13*k**2 + k - 19. Give r(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7)*(350 + -349)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 37*g. Let v(k) = 2*k**3 - k**2 + k. What is 2*v(t) + z(t)?\nAnswer: 2*t**3 - 2*t**2 + 39*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 415 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:23 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*i + 6*i + 8*i in the form p + v*i and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187856*p**4*q + 340*p**2 + 11*p*q wrt p.\nAnswer: -4508544*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 7\/2. Let n = 0.2 + -0.13. Let p = n - -3.93. Which is the closest to l? (a) p (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 364860, 364858, 364856?\n\"Answer: -2*d + 364862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/(o**(-12)\/o))\/o)\/o)\/o*o*o\/(o\/(o*(o*o**13)\/o*o)) assuming o is positive.\nAnswer: o**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 != -605\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q - 32. Let b = 8377 + -8382. Give y(b).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 78*l - 5562. Determine s(58).\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 42 + 32. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42310 - -6367?\nAnswer: -34832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12b (base 12) to base 16\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 25*o**2 + 25*o - 21. Let a be p(-26). Suppose 0 = -a*h + 15 + 10. What is the remainder when 11 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1452 and -83\/264?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*r - 369. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1893629 is divided by 91.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 101115*t**2 - 1315230*t + 2225960.\nAnswer: 5*(t - 11)*(t - 2)*(t + 20236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 293003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 + 416*x**2 + 7639*x - 6380 = 0. Calculate x.\nAnswer: -55, -29, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 5:39 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 613.3818m?\nAnswer: 613381800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-3) + 5 + 182. Let q = 328 - a. Calculate the greatest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38854.\nAnswer: 2, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 49 and -87 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*v = 0, -269*r + 267*r + 2*v = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0*p**3 + 0*p**2 + 7\/12*p**4 + 0 - 5*p. Let w(t) = 2*t - 10. Let r(z) = z - 6. Let u(i) = -5*r(i) + 3*w(i). Give l(u(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -32*z**2 - 4*z - 8. Let u(x) = -41*x**2 - 5*x - 10. Let v(g) = -5*l(g) + 4*u(g). Let c(b) = 377*b**2. Give v(c(d)).\nAnswer: -568516*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 12:39 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 77564.8396453.\nAnswer: 77565.8396453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3317, 2\/11, -2772?\nAnswer: -2772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*c = -29*c - 74*c + 1376. Solve -4*s + 2*r = 18, 5*s - 31*r + 12 = -c*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 5) + -5 + (10 + 1 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860 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: List the prime factors of 6364.\nAnswer: 2, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 6. Let l = 501 - 341. Suppose k*w = w + l. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.343896804 rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**7\/30 - 13*j**5\/60 + 5*j**2. What is the third derivative of i(m) wrt m?\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 3:16 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9772200 divided by 366?\nAnswer: -26700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 19. Let n = -71 + 82. Let i be g(n). Is 16 a factor of 2224\/28 - i\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.09 in -0.04, -73, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 53 = 2*x - 4*t, 3*t = x - 55. Let p be (-3)\/(-1) - (8 - 7)*-424. Calculate the greatest common divisor of x and p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470 and 10904?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**5 + 10*k**4 + 58*k**2 wrt k?\nAnswer: -360*k**2 + 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101.3 + 97. Let v = -3.93 - g. What is v rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118576 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18.5, -3, 70921, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + (-26)\/546 + (-10)\/35. Let c be (-1)\/(4\/334)*-2. Suppose v = -c*z + 170*z - 1074000. Round z to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-75) - (4 - (-106)\/(-10)). Solve 60 = y*m + 53 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 5:33 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 8. Let f = -8 + z. Factor 3*g**3 - 3*g**4 - 4*g**4 + f*g**3 + 4*g**4.\nAnswer: -3*g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323879418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 i when four letters picked without replacement from eiwieeieieeeeeieiee.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*u - 0*y - 5, -y + 1 = -u. Let m be (-3130)\/(-5) + (u - 0). Suppose n = 4*v - 4*n - 854, -3*v = 4*n - m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:38 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*s + 70 - 58, s = -2*q - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91661*k + 70160 wrt k?\nAnswer: -91661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15952?\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1766772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-72)\/(-3528))\/((-72)\/238) and 19\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 645 = 3*r + 4*s, r - 100 = 5*s. Suppose 3*x - 118 = r. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3715208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*-3*12\/(-18). Let f be (3\/(-2))\/((-1)\/u). What is the greatest common divisor of f and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.953 + -10.047. Which is the nearest to f? (a) -8 (b) 0 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 55, 118, 221, 376?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f. Let y(k) be the first derivative of -k**2\/2 - 22. Determine z(y(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1103 - -25690. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let b(p) be the third derivative of p**4\/8 - 4*p**3\/3 - 157*p**2 - 8. Calculate -b(q) + 6*d(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20943083 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.0000006 - 19. What is c rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 2. Let i = 2 + z. Let s(y) = -y - 254. Let r(g) = -g - 203. Let w(f) = 5*r(f) - 4*s(f). What is w(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -179, 1\/3 in decreasing order.\nAnswer: 1\/3, -2, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g. Let j(l) = 3*l**2. Determine j(w(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -10, -2930 in decreasing order.\nAnswer: 5, 2, -10, -2930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54*5\/150)\/((-6)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2*b - 5*b + (-1 - 5 + 4)*(1 - 1 - 2*b) + b + 0*b + b + (b + b - b)*(1 + 3 - 2))*(-1 + b + 1 + (2*b - 2 + 2)*(229 - 134 + 278)).\nAnswer: 5229*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.76 - 661.76. Let s = v - -606. What is the second biggest value in 2, -3, -4, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -2 + 4 + sqrt(1008) + sqrt(1008) + (2*sqrt(1008)*-3 - sqrt(1008)) + sqrt(1008) + -4*sqrt(1008)*1 + 2)**2*-1 + 0.\nAnswer: -49408 + 672*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3627 divided by -39?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2628207 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*g - 187*g + 28241 = -46*g + 305 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40077176 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -9. Suppose -d + 6*d = 15. Suppose p - 147 = -3*p + k*z, -z = d*p - 107. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q - 182 - 10. Let w = 2003\/6 + -358. Calculate the common denominator of w and (-3)\/(-4) - q\/36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 50.926.\nAnswer: 305.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 46003*y**3 + 12*y**2 - 7*y**2 + 11021*y**3.\nAnswer: 57024*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*w - 2*w - 4, 0 = 4*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16687 - -98a?\nAnswer: -15bec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395 greater than 29299\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-12)*(-22)\/1. Let c = k - -16. Suppose -z + 0*a + 4 = -a, 0 = 4*z - c*a - 18. Calculate the highest common divisor of z and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 36*c**2 + 577*c + 7. Calculate r(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238 + 238 + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10444 + -117?\nAnswer: -10563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.16 + 0.16. Let l = 1 + k. Let w = l - 3. Which is the smallest value? (a) 3 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 28 = 2*x, -4*j + 2*x + 32 = -2*x. Let d be (-4)\/6 + j\/3. Find the third derivative of 27*o**d + 6*o**2 + 0*o**2 - 22*o**3 wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 10*p. Let d be i(-5). Suppose 78*w - 26*w - 780 = d. Solve 0 = u - 2*k - 5 - 4, -5*k = w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63721139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25\/40 + 11 + -12\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 5, -2\/9, -4\/5, 3, 2.95 in decreasing order.\nAnswer: 5, 3, 2.95, 2\/3, -2\/9, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 155000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203 and 4908308.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 474523595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*n + 4*w, -n - 5*w = -6*n - 15. Suppose -18 = -3*v - 5*i, i = 3*v - n*i - 42. Is v less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 - -4*16554\/(-2976)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2071601?\nAnswer: 7, 295943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12273 - 5242. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/3)*g**(-22)\/g*(g**36)**(3\/16) assuming g is positive.\nAnswer: g**(-191\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8748)\/(-96) + (1 - 14\/16). Let s be (-4 - -2) + 96 + -2. Let y = s - q. Put 0.1, y, -2\/9 in increasing order.\nAnswer: -2\/9, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76398 by -214.\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 18*y - 48. Let f(c) be the third derivative of -c**5\/30 - 37*c**4\/24 - 49*c**3\/3 + c**2 - 8. Let g(z) = -6*f(z) + 13*o(z). Factor g(a).\nAnswer: -(a + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**5\/12 + w**2. Let x(d) = d**2. Let k(f) = -2*f**2. Let n(v) = -k(v) - 4*x(v). What is n(b(c))?\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 59042.4471 seconds?\nAnswer: 0.09762309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 9:40 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -470*w + 35. Is c(-3) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186953 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221210 (base 3) in base 2?\nAnswer: 101101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 - 0.53. Put x, -3, -6\/11 in increasing order.\nAnswer: -3, -6\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + 43 + 10 - -38?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*p + 18, 0 = 4*q + p - 22697. Suppose -20*m + 23625 = -q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 278000 and 1360?\nAnswer: 4726000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -388 + 386. Let h = 2 + -1.7. Let v = -0.6 + h. Which is the smallest value? (a) k (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**19*i)\/(i**19*i) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2791 - 5568. Is 2\/5 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -250\nAnswer: 3\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**3\/6 - 17*c**2\/2 + 81*c - 4. Determine v(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -540 + 5?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 2*c**2 - 2*c + 1. Let a(g) = -g**2 + 5*g + 7. Let j be a(6). Let t(q) = q**3 + q**2 - q + 1. Determine j*r(b) - 2*t(b).\nAnswer: -b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-553)\/(-63) - (1 - -8)) + (-3346294)\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -12000122?\nAnswer: 12000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 417.2748 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -16. Let x = -1157 + 1156.8. Which is the nearest to k? (a) 1 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from twwwxxw?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(5\/2)*r*r**(-2)*(r*r**(-3))\/r**(2\/5))\/((r**(-2\/7))**(-16)\/(((r\/r**1)\/r)\/r)**(-28)) assuming r is positive.\nAnswer: r**(3257\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-35))\/((-4)\/(-14)). Suppose s = k - 1. What are the prime factors of 4 + (k - (3 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(11\/5)\/n))\/(n**(-4\/11)\/n) assuming n is positive.\nAnswer: n**(64\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94074970, 188149938, 282224906, 376299874, 470374842?\nAnswer: 564449810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*r = -29, -r + 2*r + 13 = 2*w. Let g be (-10)\/6*(-8 + -193). Suppose l - 3*c = 103, 0 = -3*l - w*c + g - 52. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b**2 + 12*b + 8. Let t be ((-8)\/(-10))\/(17\/(-170)). Let g be a(t). What is g rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 130462*a + 4255083361.\nAnswer: (a + 65231)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**2. Let f(q) be the second derivative of 0*q**2 - 77*q + 0 - 13\/6*q**3. Determine f(a(d)).\nAnswer: -91*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5 = -5*p, 4*t - 3*p - 2 = -6*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 11*n**2 - 4*n - 8. Let h be r(-11). Let c be ((-3)\/6)\/((-3)\/h). Suppose -t + c*t = 130. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 728409149 and 10166?\nAnswer: 5083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - z + 5 - 45 = 0, z - 4 = 0. Let f = i - 8. Let n be (-1)\/f - 4\/6. Sort 1, 3, n in descending order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 5*n**2 + 7*n + 6. Let g be f(-6). Suppose 8*b - 6*b = g. Round b to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725*x**2 + 485*x**2 - 557*x**2 - 1557*x**2 - 932*x**2.\nAnswer: -3286*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -30 - (-8 + (6 - 4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6162151.\nAnswer: 53, 233, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b + 5. Let z(r) = r - 2. Let f be z(11). Let m = 14 - f. What is the tens digit of v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 1207473631 = -368673811. Suppose 2*t - 15 = -9. Suppose -i + 5*i + 12 = 0, t*s - 5*i + k = 0. Round s to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51456.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*v**2 - 85*v**2 + 142*v**2.\nAnswer: 308*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20616714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29540 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/x)\/((x\/x**(-3))\/x)*(x\/(x\/(x*((x*x\/x**(-12\/7))\/x)\/x)))\/x*x*x**(-6\/5) assuming x is positive.\nAnswer: x**(-17\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k. Suppose -6 = -3*h - s, 7 - 16 = 3*s. Let f(w) be the first derivative of 0*w**2 - 8 + 0*w + 4\/3*w**h. Determine n(f(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/((p*p**(-2\/3))\/p*p*p*p))**(5\/13)*p*p**3*p**(-2\/13)*(p*p\/(p**(1\/4)*p))\/((p\/(p*p**(-6)))\/p) assuming p is positive.\nAnswer: p**(-383\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 10*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w - 3*w - 10 + 8)*(0 - 5 + 4).\nAnswer: 14*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 13. Let k be p(5). Let g(s) = -4*s - 48*s**2 + k + 47*s**2 - 8. Let c = 7 + -12. What is g(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1488579*n**4 - 382586 wrt n?\nAnswer: -5954316*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:14 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3423*s**4 - 160*s**3 - 64525*s**2 + 14?\nAnswer: -82152*s - 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b + 635 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 - 112 - (13 - 1) - (-2 + 1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 + 90016*o - 1798720 = 0 for o.\nAnswer: 20, 22484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 0*i**3 - 2*i + 0 + 5*i**2 + 1\/4*i**4. What is the first derivative of n(w) wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1644 and 79\/6?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -146157 - 4?\nAnswer: -146163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5385789104?\nAnswer: 2, 67, 5024057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 10 = 5*i - 85, -5*i = 3*x - 45. Let p(o) be the first derivative of o**3\/3 - 6*o**2 + 3*o - 3. Is p(i) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**2\/4 - 3455*n + 124785\/4 = 0.\nAnswer: -2773, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:33 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*l + 1211847 - 1211847.\nAnswer: 152*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 36178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((36\/(-16))\/(-3)). Suppose -i*s = -3*s. Let z = s - -3. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 6 = 0, 3*m = l - 7 + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.3. Let p = -98 - -687\/7. Which is the nearest to n? (a) p (b) 2\/11 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 35 = 5*v, 6*v + 49*i - 1174 + 857 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429064 < 3429058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*1*15058376\/(-24). Let z = 4682297 - h. What is z rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 51.78. Let z = 0.81 + a. What is z rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 3 + 17*g**2 - 10 + (-1 - 3 + 6)*(3 + 2*g**2 - 3) + 0*g + 0*g - 2*g**2.\nAnswer: 19*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, z: 4}. Give prob of picking 3 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 266003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 77*z - 80*z = 5, 3*g - 11 = 5*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90502651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/376 and -73\/752.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 0*b = 23*b - 1620. Solve -17*z + b + 23 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {f: 5, s: 1, u: 2, p: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1638 and -27\/11.\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*h = 25, -20 = -4*h - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.627 times 6225?\nAnswer: 3903.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsyvyiziiyyy. What is prob of picking 1 z, 1 s, and 1 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - -24. Suppose -7*i = -w*i + 3536. Calculate the lowest common multiple of 12 and i.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:06 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 3 - 10)*(4*q + q - 7*q)*(1 + 1 - 1)*(-2*q + 6 - q**2 - 6).\nAnswer: 134*q**3 + 268*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 33, 10, -4, 1, 4 in decreasing order.\nAnswer: 33, 10, 4, 1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55764, 111341, 166928, 222531, 278156, 333809?\nAnswer: 389496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 505259 - 505259.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13*v**2 + 7*v - 4. Let i be x(4). Let l = 184 + i. Solve l = -p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14669 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 9.8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2124 and 759731436?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -15.7. Let m = 3 + f. Let q = 0.08 + 1.92. Which is the nearest to q? (a) m (b) -2\/15 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + (3 - 1) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + 40*p**2 - 525*p + 11939. Calculate d(21).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0914 to three decimal places.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 696924978 to the power of 1\/3, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 442, 849, 1256?\nAnswer: 1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -10.2. Let t = u + 0.2. What is the third biggest value in t, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 h when three letters picked without replacement from maaamhaah?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2856 + 2948. Solve -122 = -6*a - d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 1 - 4) - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**3\/6 - 467*j**2\/2 + 218089*j\/2 - 580. Determine m, given that r(m) = 0.\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(88)\/sqrt(8) + (sqrt(704)*-3)**2 + 6*((sqrt(1584)*3 - sqrt(1584)) + -5)**2.\nAnswer: -1439*sqrt(11) + 44500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*((1 + sqrt(2))**2 + sqrt(2)) + sqrt(2) + 3 + 1*sqrt(2) - -6*(sqrt(98) + (sqrt(98) + 1 + -2)**2)) + -1.\nAnswer: -31*sqrt(2) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16792733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 6:30 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 613?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7402.93 years to millennia.\nAnswer: 7.40293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/2 - -87\/22. Which is the closest to 1? (a) n (b) 5 (c) -2\/7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -22*i + 70. Let u be b(3). Suppose -u*x - 4*s = -568012, x + 2*s - 145744 = -3738. What is x rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2446 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**2 - 171*k = 0.\nAnswer: -57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 35 = -0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 19*z + 58. Suppose -3*d + 4*l + 4756 = 0, z*l - 723 = d - 2295. List the prime factors of d.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1398 + -1396. Let s(p) be the second derivative of 1\/3*p**4 + 0 + 0*p**3 + j*p + 0*p**2. Let z(q) = -q**2. Calculate z(s(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -182508.\nAnswer: -35\/30418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 3*n**3 - 2*n**3)*(-1 + n + 1) + 31*n**4 - 84*n**4 - 29*n**4 - 2*n**4 + 0*n**4 + 5*n**4.\nAnswer: -81*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*u + 9*u - 12 = 0, 3*u = 3. Let n(d) = d**2 + 3. Let b(m) be the second derivative of m**2\/2 + 3*m. Determine z*b(g) - 2*n(g).\nAnswer: -2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.36 + -2.64. What is the nearest to 0.1 in s, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + -53 - 8*(-8 - -6)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 f when three letters picked without replacement from {m: 4, f: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 10*f**2 - 9*f - 13. Let y be s(11). Suppose r - 15 = -y. Let z = r + 25. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 61 = a, -x + 5*x - 132 = -2*a. What is the least common multiple of a and 154?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f + 3. Suppose 2*t = 24 - f. Let j = -14 + t. Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 - 492\/5. Suppose 0 = 6*c - c - 15. Let l be (9\/(-27))\/(1\/c). Is l equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-15)\/(-3))*1. Let c be 2\/s + 10\/6. Suppose -c*m - 2*m + 104 = 0. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 at most as big as -54.178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3341759 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2090)\/99)\/(-19))\/(1\/9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/5 and -3\/1504.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/40 - i**4\/24 + 2*i**2. Suppose 2*t = 3*w + 7 - 6, 1 = 2*w - 3*t. What is g(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(2*t - 3 + 3) + 3*t + 2*t - t + (2 - 4 + 0)*(3*t + 3*t - 4*t) + 2*t - 5*t + 2*t - 38*t - 3*t + 8*t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) - (-2)\/(-8)*-67. Sort 3, f, 0.4, 0.2.\nAnswer: 0.2, 0.4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.1, 449068, -2 in ascending order.\nAnswer: -2, -0.2, -0.1, 449068","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21078.\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -180*p**3 + 3720*p**2 + 1255*p + 105.\nAnswer: -5*(p - 21)*(6*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6665 + 5560. List the prime factors of y.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -n + 17, 0 = m + 4*m - 20. Suppose 2*b = -3*b + 2*g - 34002, n*b - 4*g + 34004 = 0. Round b to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003243289 rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 53. Determine s(17).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h + 1. Suppose 0 = -0*l - h*l. Let r be (-10)\/(-6) + ((-520)\/(-39) - 13). Solve l*u + r*u - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**4\/7 - 14312*j**3\/7 - 12715860*j**2\/7 + 154370000*j\/7 - 257762000\/7 = 0. What is j?\nAnswer: -1795, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 1403 = -1379 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 9*k - 4. Suppose 0 = -5*n - 4*u - 5, -47*n + 2*u = -52*n - 15. Determine g(n).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171257 or 171258?\nAnswer: 171257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 380287074.0000284 - 380287255. Let q = 181 + x. What is q rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -c - 3*b, 5*c - 5*b = 100. Suppose v + c = 4*v. Suppose -g = -v*g + 290. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -67.58446, 1\/3, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4334245?\nAnswer: 5, 866849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -16, -6*j + 23 = 5*o - 4*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2421.4427 and -7?\nAnswer: 2428.4427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -231237.\nAnswer: -4\/231237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -130, -167, -238, -355?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 1591.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:14 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -12. Let j be 4\/10 - 56\/(-10). Let d = j - 3. Solve -s*t = -d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 16*g**3 - 2*g**3 + 75*g**3 - 69*g**2 - g**2.\nAnswer: 89*g**3 - 65*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 51*y + 505. Let z(m) = 76*m + 759. Let u(b) = 8*w(b) - 5*z(b). Give u(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332052 divided by 1407\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183.23 + -185. Let t = 4.77 + d. Let u = 10 + -6. What is the third biggest value in u, t, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 45. List the prime factors of 134 + 0 + m + 2.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2406 (b) 37 (c) 0.03 (d) 0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2734*h + 94*h + 328*h - 359*h + 2279*h as j*h + z and give j.\nAnswer: 5076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 - (-460)\/(-60). Let z be 2\/t - 216\/28. Let o = 9 - 6. Which is the closest to z? (a) 2 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {t: 1, l: 2, n: 2, g: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*f - 33 + 158, -5*s = -2*f - 100. Let z be s\/24 - (14\/(-8) - -2). What is the biggest value in z, -1, -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 2*m - 1. Let z be q(-1). Suppose 2*u = -2*x, -z*u - 3*x = -6*u + 12. Let k = 7 + u. What is the remainder when 26 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19175)\/520)\/295*(8\/(-11))\/2.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2.8. Let r = 1.5 + -0.6. Let i = r - 1. Which is the nearest to g? (a) 0.1 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345 minus 5796.83894?\nAnswer: -7141.83894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 8*i - 5. Give u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {m: 2, n: 2, i: 1, f: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3542 - -220?\nAnswer: 4062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 0, -1 in descending order.\nAnswer: 5\/3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + (sqrt(1100) + 1 + sqrt(1100)*1 - sqrt(1100) - sqrt(1100)) - (sqrt(1100) - (sqrt(1100) + 0 + 1)))**2 + 1.\nAnswer: 40*sqrt(11) + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, r: 2, f: 2}. Give prob of sequence fkkr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 2. Let i(a) = -24*a + 1. Let c(p) = -i(p) + v(p). Let u be (16\/(-12))\/(4\/(-6)). Is c(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.97 - -32. Let w = -0.2 - 0.3. What is the second smallest value in w, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*m - 281. What is the hundreds digit of (-74571)\/(-49) + (-9)\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 16) to base 8\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 4*o**2 + 5*o - 2. Let w be q(3). Suppose 0*s = 4*s - 16, w*x = -2*s + 1624. What are the prime factors of x?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 24269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * -14.44\nAnswer: -10.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3848401 and -0.5.\nAnswer: -1924200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2132 by 26.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 + 69\/(-12). Let q(x) = -2*x**3 - 6*x. Let c(l) = -3*l - 9*l - 4*l**3 + l. Give v*c(p) + 11*q(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672\/216 + (-40)\/(-45).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 3*p)*(-1 + 2 + 1) + 4*p + 6*p + 8*p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:42 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.1229444 hours?\nAnswer: 442599840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 2, z: 4, g: 2}. Give prob of picking 2 h.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 0.0534\nAnswer: -0.04806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23698691 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o**(-4))\/(o**0)**(43\/2) assuming o is positive.\nAnswer: o**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1858218 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0 - 8*n - 4 + 4*n - 4*n**2 - n**3. Let k(i) = 6*i**3 + 21*i**2 + 21*i + 21. Determine 4*k(j) + 21*y(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1982 divided by -374?\nAnswer: 991\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -749, -746, -741, -734, -725, -714, -701?\n\"Answer: g**2 - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/60 + 6227*c**2. Let s(g) = 2*g + 1013. What is s(y(w))?\nAnswer: -2*w**2 + 1013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 171 - 213 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -5*s - 25, -3*s - 79*k = -83*k - 42 + 57 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1\/7, 3, 1\/4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -9. Sort n, -3, -2 in descending order.\nAnswer: -2, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 3) to base 4.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3*m - 5*m)*((2*m**2 + 2*m - 2*m)*(120 + 176 + 67) + 0*m - m**2 + 0*m).\nAnswer: -5075*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2715*u + 27927. Give s(10).\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15922 - -22562. Suppose -z + 59*b - 63*b = p, z = 3*b - 38512. Round z to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = 5*x - 12, -56 = -5*j - 4*x. Suppose -j = -3*l - l. Suppose -6*h = -l*h - 8. Solve -t - 4*t - 13 = -z, z + h*t = -8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 339788 in descending order.\nAnswer: 339788, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -489, -999, -1547, -2133, -2757?\n\"Answer: -19*y**2 - 453*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2 + 12*j**3 - 2. Let m be ((-27)\/6)\/9*2. What is g(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -4.8, 3\/97?\nAnswer: 3\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 + -42. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2 - 3) + (-1 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249.8 - 216. Let h = w - 33.5. What is the nearest to -0.04 in h, -1, 3, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 3*p + 0*p)*(3*p + p - 2*p)*(1 - 2*p**2 - 1 + (82*p - 444*p + 16*p)*(0*p - 2*p + p)).\nAnswer: -688*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*m**3 - 3*c*m**2 + 2*c*m + 1145*c - 599*m**3 + 426*m**2 + 29*m - 3 wrt m.\nAnswer: -12*c*m - 6*c - 3594*m + 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z\/z**(-1\/3)))\/z))\/(z\/z**(-15\/2)) assuming z is positive.\nAnswer: z**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1240979 divided by 11\nAnswer: -1240979\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 330*z + 5100 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377695 is divided by 232.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieeiieeoboeoeiio. Give prob of sequence ioe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3471 - -3474. Let f(u) = -3*u**3 - 3*u**2 + 4. Let l be f(-3). Sort s, l, 0.3, -5 in decreasing order.\nAnswer: l, s, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -11*y**2 + 28*y. Let d(i) = 6*i**2 - 15*i. What is 5*d(j) + 3*k(j)?\nAnswer: -3*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 n when four letters picked without replacement from llllnlllllllllnlllnl.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1711774 + -0.310411.\nAnswer: 1711773.689589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36531 and 13981?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 6*w - 5. Let t be f(7). Suppose 2*s = -t*z + z + 2, 2*z + s = 4. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 99*k**2 + 4328*k - 442751. Give a(100).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**5 + 18*v**4 - 15*v**3.\nAnswer: -3*v**3*(v - 5)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3113\/306 - 36\/17. Let d = -116129141\/264187 + 12\/37741. Let x = d - -74429\/168. Calculate the common denominator of x and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:09 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 l, and 1 w when three letters picked without replacement from {s: 1, c: 1, a: 1, l: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*j**3 + 2*g**3*j**2*z + 12*g**3*j**2 + g**2*j**3*z + 4*g**2*j*z + 1283*j**3 wrt j.\nAnswer: -12*g**3 + 6*g**2*z + 7698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -224507671?\nAnswer: 224507665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 7. Let y = 10.71 + -5.71. Which is the fourth biggest value? (a) 3\/2 (b) 2\/5 (c) y (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y**3 + 36567*y**2 - 32883*y - 3654 = 0.\nAnswer: -1\/10, 1, 1218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.10108 - -0.1010204. Round u to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrxrxcurffx. What is prob of picking 1 u, 1 x, and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 15*p + 290. Let s be -3 - (-75*2)\/10 - 1. Give u(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*d + 24272 = 0, 3*r - 6068 = 4*r - 2*d. Find the common denominator of -61\/15 and 1\/(4\/(-6))*r\/369.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*b + 3727544 = -83*b - 4065298. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyttyyyyyttty. What is prob of sequence yty?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (96642\/17346)\/((-2)\/14)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14 + 15*g**2 + 10 - 3*g - 17 - 7. Let o(b) = -3*b. Calculate f(o(j)).\nAnswer: 135*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 - 9 + 20 - 61 - 61.\nAnswer: 10*k**3 - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*d - 1102 = -24268 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13584 (base 12) in base 6?\nAnswer: 323444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*l = 246*l + 38798000. Round l to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 416822 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -51932 rounded to the nearest 1000?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) - sqrt(114)*1)*-4)\/((sqrt(36)*-2)\/sqrt(6)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2\/7 + 2\/7*x - 2\/7*x**3 + 2\/7*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 + 317. Let j = -336 - y. Round j to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 506659 = -14*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 17*d + 110. Let o be q(-16). Suppose 3*b - 15 = 0, 2*b = -7*n + 4*n + 841. Suppose 7*l = o + n. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5*(-4)\/10). Let d be 1\/(-2)*y*6. Solve -2*s + 5 = d*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let l(w) = 12*w**2 - 5*w. Determine l(i) + 6*o(i).\nAnswer: 12*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g**2 + 55*g + 2. Let c(o) = -36*o**2 - 220*o - 9. Let b(t) = 2*c(t) + 9*k(t). Find the second derivative of b(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiu when three letters picked without replacement from iuuiiu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**4\/6 - y**3\/6 + y**2. Let x(h) = -3*h + 1. Let a be (-2 - 3)*9\/15. Let g = -4 + a. Give g*x(c) - 5*w(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -531 by 531.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -14134764*t. Let c(l) = -3*l**2. Give c(b(g)).\nAnswer: -599374660007088*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -496?\nAnswer: -15\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -286, -429, -572, -715, -858?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - 64. What is i(32)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58500)\/35100)\/(245\/(-9)).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18\/53, -0.03, 1\/9?\nAnswer: -18\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:40 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 10\/12)*2. Let u = -4.07 + -0.63. Let s = 5 + u. Which is the smallest value? (a) 0 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*f - 58306, -2*h - 5*f + 87925 = -28688. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-35)\/(-25))*(-1)\/(-6). Let h = 4 + -2. Which is the nearest to h? (a) 1 (b) y (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2391949 - 57*w**3 + 167*w**3 - 57600*w - 58*w**3 + 720*w**2 - 855949 - 55*w**3 = 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 23*s - 28. Let y be u(10). Let z be (-4)\/7*14\/(-4). Solve -3*v = 5*k - 8, y + 2 = z*v + 2*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1202712980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/10))\/i**(-8\/3))**16*(i**(3\/7)\/((i\/i**(2\/7))\/i*i))\/(i**0)**(1\/69) assuming i is positive.\nAnswer: i**(5962\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 3, q: 6, l: 2}. What is prob of picking 3 u?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/7 + 358520466*r\/7 - 10711410378404763\/7.\nAnswer: -3*(r - 59753411)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175305 and 54405?\nAnswer: 1577745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5937 and 2406?\nAnswer: 4761474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -641373038 rounded to the nearest one million?\nAnswer: -641000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1104636, -1104634, -1104632?\nAnswer: -1104630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 86 + 156. Calculate the remainder when h is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110 + 110 - 49*z to the form s + x*z and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqyxyqyy. What is prob of sequence yxq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4583.\nAnswer: 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 330643832*l\/5 + 13665667954955528\/5.\nAnswer: 2*(l - 82660958)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 3, 24, 61, 120?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8584863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 1\/16 (c) 7.34 (d) -0.16 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m + 0*m)*(m - 2*m + 3*m) - 3*m**2 + 0*m**2 + 2*m**2 + (-4*m - m + 0*m)*(-4 - 2*m + 4).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 21 = -5*b, -2*b + 7 = 8*m - 7*b. Solve 0 = -2*n - t - 2, m*t = -5 + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -934 - -934. Solve -12*w + 8 - 68 = k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -37. Suppose -m = -4*x + 7. Suppose -t = -6 - x. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2661089\/41 or -64904?\nAnswer: -2661089\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -s - 2*s, 4*s - 11 = 3*t. Differentiate 2 - 13*a**3 + 9*a**s - 2*a - 9*a**2 with respect to a.\nAnswer: -39*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + h**3 - 3*h**3)*(2*h**2 + 158*h - 2475 + 2576 - 163*h).\nAnswer: -2*h**5 + 5*h**4 - 101*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4266497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -64?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 348\/435*10\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93*j**2 - 13*j + 372 + 96*j**2 - 92*j.\nAnswer: 3*(j - 31)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752.5 times -10.8?\nAnswer: -18927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z + 2*q - 2 = 0, q - 1 = -4*z. Let v(n) = n**3 - n + 1. Let l be v(z). Let c(y) = 6*y**2 + y. What is c(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/10088 or 1?\nAnswer: 5\/10088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w - 32. Let m be b(14). Suppose -3*y - 3*k = -111, 2*y - 4*y + 2*k = -m. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46.4 + -46.41. Let l = 82 + -65.5. Let a = 17 - l. What is the fourth biggest value in a, -1, 4, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 11. Let g be l(-7). Let a(f) be the first derivative of -1\/2*f**2 - g*f + 2. Determine a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 43. What is the remainder when 76 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-91)\/(-312) + 2\/(-12). What is the closest to 0.2 in 1, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5304551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 3*z**2 + 0 - 1\/4*z**5 + z**3 + 3\/8*z**4 + 0*z. Factor d(y).\nAnswer: -3*(y - 1)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/832 - 1867\/4160. Let v = 1\/20 - r. What is the nearest to -1 in v, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.7. Let x(u) = u**3 - 17*u**2 - 17*u - 21. Let j be x(18). Let d = -0.07 + 0.17. Which is the second smallest value? (a) j (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18761 * -0.05.\nAnswer: -938.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.084323 to 2 decimal places.\nAnswer: 2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9128126543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3522537, 7045068, 10567599, 14090130, 17612661?\n\"Answer: 3522531*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -31*b + 36*b. Suppose -b*n + 10036 = 3724. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 2\/9*j**3 + 2\/9*j**2 + 0*j - 1 + 1\/18*j**4. Factor c(f).\nAnswer: 2*f*(f + 1)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*m + 16*m + 2*v + 2590, 0 = 2*m - 3*v - 1293. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9615 and 0.5.\nAnswer: 4807.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/2 - 10) + (1 - -9). Calculate the greatest common divisor of 189 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {y: 6, k: 9, g: 2}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 - 0.1. Let b = -23 + 27. Let g be (7 - b) + 1 + 28\/(-8). What is the smallest value in a, -11, g?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 5*o + 7. Suppose -2*p - 20 = 3*h, 0 = 4*h - 0*p - p + 23. Let a be b(h). Is -1\/7 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 9:48 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3372*2.\nAnswer: -4.6744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from {t: 1, r: 1, n: 1, l: 1, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((45\/5)\/(-63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*z**5 + 1279*z**4 - 5786*z**3 + 17*z**2 - 6351*z + 224?\nAnswer: -900*z**2 + 30696*z - 34716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (13 + -5 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33913 divided by 14995\nAnswer: 33913\/14995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -307 + -202383?\nAnswer: -202701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1282379 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4970000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 733660268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 10.3 (b) 2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(29\/(-58))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((68 + -20 - 17) + (-1 - 3))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244*2.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73 and -1388.7.\nAnswer: -101375.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/45, 210, 5\/2, -0.61, 1, 4 in decreasing order.\nAnswer: 210, 4, 5\/2, 1, 2\/45, -0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.111186 kilograms in grams?\nAnswer: 6111.186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + -68 + 74 - -60?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*y = -40 + 271 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 10:36 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:42 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -28. Suppose -19*n + 188 = 28*n. Solve m = n*i + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -748071\/608 != -1229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 273.61396 and -13?\nAnswer: 286.61396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppw when four letters picked without replacement from pppwwwwppw?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7446 - 7432. Solve 5*l - 4*m + 4 = o, l + 5*m = -27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20201 - 10?\nAnswer: 20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 7*q**2 - 61*q - 33. Give y(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 1. Let m be i(3). Suppose 15*g - 9*g = 36. Suppose -g*k + 8 = -m*k. What is the smallest common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13274, -1, -141 in ascending order.\nAnswer: -13274, -141, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1949 is divided by 89.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**3 + 67*t**2 + 3*t + 66. Determine y(-15).\nAnswer: -1779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 650 = -5*v, -i = 4*v - 232 - 288. Let j be (-3 + 2)*v\/(-1). Let f = 21 - 8. What is the greatest common factor of f and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -31*r**2 - 1. Let k be j(-1). Suppose 0 = i - 5*i + 116. Let o = i + k. Put 1, 3, o in increasing order.\nAnswer: o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 40. What is the third derivative of k*r**5 + 4*r**2 - 18*r**5 + 4*r**6 wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/(39\/(-234)). Suppose d = -3*v + 1982, -h*d - 2931 = -4*v - 275. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 35 - 5 = -4*j, -2*j + 27 = 3*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(208) - (sqrt(208) + 1))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 9. Let i be w(-6). Suppose 0 = 2*j - 5*n, 0*j - i*n = 5*j - 62. Suppose 4*z + 3*c + 17 = -10, -c = -5*z - j. Is z bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m. Let i be k(-2). Suppose 0*f - i = -2*f. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3850, 7716, 11580, 15442?\nAnswer: 19302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 104*z + 66. Let n = 704 - 697. What is the units digit of m(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*b + 12 = 0, 2*b + 3*b = 2*j - 31. Let p be (j\/6)\/((-1)\/(-18)). Find the first derivative of -p*a + 2 - 4*a**4 + 24*a wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1448301 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 441953 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-9))\/(2\/(-69)). Suppose -g + 3*g = p. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 13*c - 11*c - 20*c**2.\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -183c2 (base 14) to base 6\nAnswer: -1150554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*((-135)\/(-120) + 2\/16). What is the tens digit of (r - (-395)\/(-2))*24\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19390 + 19766. What is the greatest common factor of 94 and z?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6.5 (b) -5 (c) 7 (d) -1\/39 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Let h(b) = -b**3 - b**2 + 4*b + 6. Let d(w) = -4*w + 118. Let g be d(30). Let z be h(g). Solve z*s + 12 = -j*i, -4*i + 9 + 7 = -4*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 2*t**2 + 8*t + 1. Let b be r(-4). Solve b = -2*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17 - -2)*70\/3045. Which is the second biggest value? (a) o (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -245 + 344. Let i = 99 - h. Solve i = -2*f + 8 - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 7*n + 5)*(7*n - 7*n - 8*n**2) to y + r*n**3 + s*n**2 + f*n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 10*h**2 - 2*h + 2. Is t(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*a = -29, -u - 18 = -0*u + 4*a. Let p be 6\/3*(3 + u). Let s(r) = -p + 10 - 2*r. Let f(h) = 2*h**2. What is f(s(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64735403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 3. Let w be k(-2). Let r(x) = 2*x**2 + 3*x. Let a be r(-2). Calculate the highest common factor of a and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 s when four letters picked without replacement from zspgozzzzzozooz.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -367*f**2*x**3 + f**2*x**2 + f**2*x + 26*f*x**2 + 1 wrt x?\nAnswer: -2202*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 29*v**5\/60 + 76*v**2 + 1. Let r(m) = -2*m**2 - 96 + 96. Calculate a(r(p)).\nAnswer: 116*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 143411 (base 7) to base 8\nAnswer: 65774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9*s**2 - 269*s + 203. What is the remainder when b(31) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 10346746?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-6))\/(((s*s**(1\/12)\/s)\/s*s)\/s))**(-11\/9)*((s\/s**3)\/s*s\/((s*s\/s**(-3\/4)*s)\/s))**(-8) assuming s is positive.\nAnswer: s**(4643\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-254)\/20 + (-5)\/10. Let i = v - -442\/35. Is i at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/111 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/116 - 189\/(-203)) + 3. Solve 2*g + 4 = -z, q*z = 3*z + 3*g - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3, 1\/19, 61 in ascending order.\nAnswer: -0.3, 1\/19, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89138\/9 + -9928. Let v = z - -24. Let h = 13620\/7 + -1946. Which is the nearest to h? (a) v (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 3, -2, 8\/9, 2.339?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -28*p**2 + p + 6. Let q = 102 - 104. Let k be h(q). Let w be (k\/(-48) + (-3)\/(-4))\/3. Which is smaller: w or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12916 is divided by 163.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140340 and 6829880.\nAnswer: 20489640","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sum 439398 and 0.5.\nAnswer: 439398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q = -70. Suppose 2*s = q - 4. Solve -4*c + 2*c - s*w - 35 = 0, -3*c - w = 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36 + 5755*g**3 + 13521*g**2 - 6762*g**2 + 112*g - 6759*g**2 - 590*g**3 wrt g?\nAnswer: 30990*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21022 (base 4) to base 10.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1311 - -3211?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/70 + 9*i**6\/4 + 261*i**5\/20 - i**4\/2 - 174*i**3 + 1137*i**2 + 2*i. Determine v, given that l(v) = 0.\nAnswer: -87, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.7 and 14342.\nAnswer: 14353.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4490 and 203.2935694?\nAnswer: 4693.2935694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/63)\/(3\/(-9)))\/(-3*(-6)\/2241).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 455, 15.\nAnswer: 8, 15, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2356755 and 300.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -437*a*q**3*z**2 - a*q**2*z**3 - 112639*q**3*z**5 - 118*q**3 - 3*q*z**2 wrt z?\nAnswer: -6*a*q**2 - 6758340*q**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 s when four letters picked without replacement from {l: 2, v: 2, s: 2, y: 5, z: 1, k: 8}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001111001 - -1001100100110?\nAnswer: 1110110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.8267 and -386141?\nAnswer: 386137.1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -100452 at most as big as 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1198?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, 2, 2.7, -1 in increasing order.\nAnswer: -1, -0.22, 2, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104845, 104847, 104849, 104851, 104853?\nAnswer: 104855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 2*w**2 + 2*w - 5*w + 4 + 1545*w**3 - 1539*w**3. Let n(f) = -11*f**3 + 4*f**2 + 7*f - 7. Give -7*b(t) - 4*n(t).\nAnswer: 2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(24))\/sqrt(12) - (sqrt(1296) + -1*sqrt(1296))\/sqrt(8).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -5)\/4 + 105. Suppose -3*b - 2*n = -5*b + 302, 4*b - n - 610 = 0. Let z = b - k. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 36\/47, 995, -3\/5 in ascending order.\nAnswer: -3\/5, 0.1, 36\/47, 995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -32*h**3 - h**2 + 3*h + 4. Let n be k(-1). Solve 4*c - 2*j + 6*j - n = 0, 4*c - 2*j - 14 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1742 - -1744. Solve g = -3, -r + 6 - 9 = u*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3209 - 2006. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1101, -2228, -3355?\nAnswer: -4482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least -7.76586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3447, 6931, 10415, 13899, 17383?\nAnswer: 20867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2435, -4, 404 in descending order.\nAnswer: 2435, 404, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*v + 6 + 23 = 0, -4*o - 2 = 2*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 36. Suppose 254 = y - 4*c + m, -c - 1085 = -5*y. Suppose -y = -3*x - x. Calculate the highest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 12*q**2 - 14*q + 19. Let w be l(13). Let n(d) = 1. Let u(x) = -x**2 + 6*x + 6. Let v be 25\/4 + (-1)\/4. Let t(r) = v*n(r) - u(r). What is t(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -0.25593?\nAnswer: -1.79151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 406 = 1099. Let h be (-22)\/o*(30\/(-9) + 3). Let l = 59 + -239\/4. Which is the closest to 0? (a) h (b) l (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/8*(-8)\/3. Suppose -v*x + 19 = 3. Solve -4*m = 5*r - 5, -x*r + 4*m + 2 + 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2262 - -1200665?\nAnswer: 1165403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -37535 + 189535. Round b to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.0873.\nAnswer: 0.04365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**3 - 2*w**2 - 2*w + 1. List the prime factors of a(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 + 60*r**2 - 19*r - 1136. Calculate j(29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.102 + 0.10200153. What is p rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18481 to the nearest one hundred.\nAnswer: -18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u**3\/8 + 27*u**2\/2 - 111*u\/8 + 9\/4 = 0 for u.\nAnswer: 1\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 343.84 and -3070140.\nAnswer: -3069796.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-159612)\/(-132) - 6\/33. Suppose 0 = -4*s + s + c. What are the prime factors of s?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-4))\/((-1)\/4). Let k(l) = 12*l - h*l + l. Let a(j) = j + 26 - 26. Calculate a(k(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (9 + 3 + -4)) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 82. Determine d(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.848194903 and -94?\nAnswer: 90.151805097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*w - 1704, -16*n = 2*w - 12*n - 1132. Let t = w + -526. What is the greatest common factor of 115 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*v + 7*v = 85*v + 1664 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21271 + -4?\nAnswer: 21266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 69*z**2 + 15 - 60*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 47*z**2 + 11*z + 14. Let j(q) = -2*q**2 - q - 1. Let b(t) = g(t) - 6*j(t). Let x(v) = -20*v**2 - 6*v - 7. Give -6*b(k) - 17*x(k).\nAnswer: -14*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 1, b: 2, y: 1}. What is prob of sequence yy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37b + -1?\nAnswer: 37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*r**2 + 258*r - 87 = 0. What is r?\nAnswer: -29, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/14)*y)\/y*y\/(y*y\/((y*y**(-2\/41))\/y)))\/((y\/(y*y**(7\/5))*y)\/y**13) assuming y is positive.\nAnswer: y**(38523\/2870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -13*q**2\/2 - q + 2. Let x be y(1). Let a = 22 + x. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p**2 + 8*p - 8. Let j(b) = b**2 + b - 1. Let a = -14 - -12. Let x be a*(3 + 3 + 26\/(-4)). Calculate x*t(v) - 8*j(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212323, -212325, -212327, -212329?\nAnswer: -212331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 + 4*p + 0*p + 1 + 2*p**2 - 6*p. Let g be l(1). Let i be (-3 - (-20)\/12)*g\/36. Put -2\/13, i, 0 in decreasing order.\nAnswer: i, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-112)\/(-6))\/7).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20281795?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1407452 + 1407563 - 2815015 - 6*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - 15. Let u = -50 - m. What is the second biggest value in -5, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243654?\nAnswer: 2, 3, 40609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5194 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35693750 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**2*a)*a)**0*a\/(a**(2\/21)\/a)*a**10)**36 assuming a is positive.\nAnswer: a**(3000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 50.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 36332 = 566*n for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 5 + 11*u - 13.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 10, -737 = -4*p - 3*n - 723 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 30*h + 1898. Let f be t(-31). Solve -f*o + 50*o - 172 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8\/3. What is the nearest to 0 in 0.3, t, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 88*v - 93*v + 4*k, -4*k = -v + 43. Solve 3*q + v = i, 90*q = 92*q + 2*i + 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*i**3 - 7*i**2 - 1518 wrt i.\nAnswer: -84*i**2 - 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5094 is divided by 1172.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 109463 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12))\/((-93)\/155).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-32 + 26 - 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1482850 and 5405?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*x + 208*x = -2456*x + 310896 for x.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92610.34 litres in millilitres?\nAnswer: 92610340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 36*j**4 + 28*j**3 - 8*j**2 - 12*j + 12. Let c(w) = w - 1. Let r(z) = -12*c(z) - k(z). Find b such that r(b) = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 0)*(-3 - 39*y + 45*y - 5) in the form p + f*y and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.4 - -27. Which is the second biggest value? (a) 11 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4897062692?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 46*q + 1973. Determine i(-45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/59570 and 101\/59570.\nAnswer: 59570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*f = 57*f + 27100. Round f to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*14\/147*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 2*p**3\/3 + 3*p**2 - 6*p - 4. Let y be j(-7). Suppose -12*m = -7*m - y. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4 - 53464*f**3 - 1861*f**2 + 18419670*f + 5?\nAnswer: 12*f**2 - 320784*f - 3722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*h - 26*h - 3*h**3)*(1 - 3 + 0 - 4 + 1 + 0 - 2 + 2 - 1 + (-2 + 2 - 1)*(-6 + 5 + 0) + 1 + 3 - 6 - 4 + 2 + 3) as g + u*h + w*h**3 + k*h**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1465 - -2931\/2. What is the fourth biggest value in n, 2\/3, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2 + 167704*k - 26522196 = 0.\nAnswer: -167862, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123429600 rounded to the nearest ten thousand?\nAnswer: 123430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 2, m: 1, p: 1}. Give prob of picking 1 p and 2 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -452.6 (b) 1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 17*h**3 + 2*h**2 - 4*h. Does 11 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, -99, -0.04?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29, -27, 2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*i + 86 - 11*i - 28 + 33*i + 85)*(2*i - 14*i + 0*i).\nAnswer: -36*i**2 - 1716*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6 - 2 + 2 - i + 8*i**2. Let z be g(2). Suppose 0 = 2*x + 2*x - 216. Calculate the greatest common divisor of x and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2. Let z be -1*((-1)\/1 - -1). Let v(y) = y**2 + z + 0. What is v(x(a))?\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = -2*w, -2*l + l = 5*w + 14. Let v(n) = -n - 4. Let x be v(-6). Let i = x - -3. Which is the closest to l? (a) 1 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62260.\nAnswer: 2, 5, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*z - 10, -3*b - 6*z + 40 = -z. Let k = -3 + 2. Sort b, k, -2.\nAnswer: -2, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1057696 years?\nAnswer: 1.2692352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -19)*(-4)\/6. Let b be (2\/(-9808))\/(((-35)\/(-7))\/263430). Let x = b - 4\/613. Are x and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-13))\/((-1740)\/5655)*92\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - 80660.\nAnswer: -80684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5 + 155*j**4 - 313*j**3 + 157*j**2 = 0.\nAnswer: -157, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17, 141, 403, 769, 1239, 1813?\n\"Answer: 52*x**2 + 2*x - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2349)\/(-58))\/(-81) + (-15)\/(-2). Sort 2, b, -37 in decreasing order.\nAnswer: b, 2, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 32 = 4*x. Solve 0 = 3*o - 5*h + 7, 14 = -3*o + 2*h - x*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 5*w**2 - w**2)*(15 + 6 - 7)*(-5*w + 0*w + 4*w).\nAnswer: 98*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:31 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwuwuuuu. What is prob of sequence wuww?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165612 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -62?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1445128, -1445127, -1445126, -1445125, -1445124, -1445123?\n\"Answer: v - 1445129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.29614 nanoseconds in seconds?\nAnswer: 0.00000006629614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/7 - 3240*k**4\/7 + 268356*k**3\/7 - 6177040*k**2\/7 + 30167358*k\/7 - 41891400\/7 = 0. What is k?\nAnswer: -1700, 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -51.04. Which is the closest to w? (a) -1\/5 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 2*o + 3. Let t(j) = -7*j - 34. Let g be t(-6). What is the tens digit of b(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -d37bcb?\nAnswer: -d37bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1927163241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6848 + -6848. What is the nearest to -3 in 2\/19, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 3*v + v)*(-3*v + 0*v + v) - 5*v**2 + 8*v**2 - 2*v**2 + (-31*v + 3976 - 3976)*(0 - v + 0).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 22 + -17 + 18 - (7 + 9 - 5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*h = -4*h + 2*n + 4, 2*n + 4 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l - 12. Suppose -15 - 9 = -l*f. Let c = 11 - f. Which is bigger: -0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nknnnknkknn. What is prob of sequence knkn?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - m + 46*m + 1235 = 0 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 392 + -278. Let t = -112 + w. Suppose -5*v + 4*v + 4*h = -255, -t*v = 5*h - 484. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2. Let t(j) = 69*j + 73. Calculate t(z(f)).\nAnswer: -207*f**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 948 = 950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/3 + 1 + 2. Suppose 0 = p - h*p + 773. Let c = 3065\/4 - p. What is the common denominator of c and 37\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/432 and 101\/10?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 8:39 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2765*h**5 + h**2 + 4*h**2 - 2729*h**5 wrt h?\nAnswer: 2160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/17? (a) -2\/153 (b) 2 (c) 0.7 (d) -0.4 (e) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(-8)\/(-6). Let w = -64 + 67. Suppose -y = -6 + w. Put r, y, 4 in ascending order.\nAnswer: r, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 319b (base 13) to base 7\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141815381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26959 + 270043. Let k be (-4)\/18 - f\/(-9). Round k to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/7)*u*u)*u*u*u**(6\/7)*u\/(((u**(-1\/8)\/u)\/u*u)\/u)*(u\/(u*u\/u**(-11)))\/u)**(2\/9) assuming u is positive.\nAnswer: u**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 104?\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 6*s**2 + 2. Let k be t(-6). Solve -18 + k*l**2 + 18 + l**3 = 0 for l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67701*c**3*q**3*u**3 + c**3*q**2*u**3 + 2*c**3*q**2 + 3*c**2*u**2 - 156098*q**3*u + q**3 wrt u?\nAnswer: 406206*c**3*q**3 + 6*c**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = 3*z. Let n be 4 + -4 - (1 + -4). Suppose 2*r + 14 = 4*c, r - 1 + 10 = n*c. Put r, z, -1 in increasing order.\nAnswer: r, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Find the second derivative of -7*a + q*a + 2*a**4 + 2*a - a**4 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 3*v - 7. Let z be (224\/10)\/(-3 - 98\/(-35)). Let h = z + 107. Give a(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5050, -5710, -6370, -7030?\nAnswer: -7690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12396172 is divided by 4132051?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 24*d\/5 - 8.\nAnswer: -2*(d + 2)*(d + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3398 - 3349. Solve -k - 50*d + l*d + 1 = 0, -1 = -5*k - 4*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 273?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10*g**2 - 3*g. Let z(m) = -221*m**2 - 65*m. Let k = 2995 - 2998. Suppose -245 = -4*a - 3*b, 75 = a - 2*b - 0*b. Determine a*f(x) + k*z(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7299011?\nAnswer: 7299011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158.00034 + -158. Round a to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 + 6) - 0 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -89*k**3 + 5*k**2 - 11*k - 96. Let i(m) = 3*m**3 - m**2 + m + 1. Let c(g) = 5*i(g) + s(g). What is the derivative of c(v) wrt v?\nAnswer: -222*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -0.2, 2, -0.33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99) + sqrt(99))**2 - -6*(sqrt(99) + sqrt(11)).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 706*n + 12. Suppose 3*h - 9 = -15. Let t be v(h). Round t to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47073523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)*a\/(a\/(a*a*(a*(a**(-10)\/a)\/a)\/a)))**(-30) assuming a is positive.\nAnswer: a**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - z**2 - z - 1. Let i(l) be the third derivative of l**6\/12 - 3*l**5\/20 - 3*l**4\/8 - 5*l**3\/3 - 13*l**2 + 1. What is -2*i(a) + 18*y(a)?\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6238808939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2729 + -2726. Suppose 8 = 4*q - 4*v, -q + 3*v + 6 = 4. Let h(b) = b**3 + 3*b**2 + 2*b. Let z be h(-2). Solve q*k + m - 6 + 2 = z, k = -m + y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -5\/6*c**3 + 5\/24*c**4 - 1\/12*c**5 + 1\/120*c**6 - 2*c**2 + 0 + 0*c. Let b be p(4). Which is bigger: b or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 46*t - 45*t - x, -x + 9 = 0. What is the lowest common multiple of t and 174?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide -480 + 497 + (26981 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -116 + 15 + 24 + 163?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2424 + -444. Suppose -4*p = 5*p - l. List the prime factors of p.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 7:01 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 - 0.7. Sort a, 0.3, 3 in descending order.\nAnswer: 3, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/10)\/((-9)\/84). Solve -3*x + 7*x + 4 = 0, 4*q - t = -2*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.9 (b) -64 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13234342 a multiple of 422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 4 (c) 720928\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 11344 = -4*w + 3*c, 5*w - 5*c = -14205. Let p = 16963\/6 + w. Find the common denominator of -20\/21 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -1\/36*x**4 + 0 + 0*x**3 + 0*x - 1\/270*x**5 - 9*x**2. Factor r(o).\nAnswer: -2*o*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5))**(-7)*d**(-7)\/(d\/d**(-6)))\/(((d**(2\/3)*d)\/(d**(6\/5)\/d))\/(d**(2\/5)\/(d**2*d))) assuming d is positive.\nAnswer: d**(-229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 220597961 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-240)\/50*1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.3, -7\/16321, 1, 20\/3?\nAnswer: -7\/16321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*x + 4. Suppose -32 = -3*y - 32. Suppose 3*t = -9*h + 14*h + 28, y = -t + 3*h + 4. Solve 2*q = -4*l + t, 0*l + x = l - 2*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13 + -15)*(-2)\/8*-2. Let w be (g + -14)*(-12750)\/(-9). Let o = -1020043\/48 - w. Find the common denominator of o and -53\/20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2265*z - 1592 wrt z?\nAnswer: 2265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {z: 7, g: 2, r: 1, y: 2}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -6487?\nAnswer: 6514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577808 equal to 13577808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*w - 7361 - 9195 = 6518. Suppose -4*q + q = -405. Let p = w + q. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-16)\/(-80) - (-466)\/(-80) and 67\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79278715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 170 + 0?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/10, -2\/9, 1\/8, 0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021001000 (base 3) to base 7.\nAnswer: 132225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/9, -513, 3, -1.5, 1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31103521697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (-78 - 3) - -3. Let f = 119 - t. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1210\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -1\/4 (c) -1\/2 (d) 6 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 - 6*f - 7. Let m be (-21)\/(-28)*8\/(-1). Let y(d) = 6 - 3*d - 4*d**2 - d + 9*d. What is m*y(g) - 5*h(g)?\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:43 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/((sqrt(2) - sqrt(8))*3).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 749 and 321?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 5. Let i be b(4). Suppose 1141 = 86*u + 92*u + 727 - 1010. Which is greater: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35107924 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5527 divided by -100.\nAnswer: -5527\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/2, -2\/9, -37\/58?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -85.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 9 + 0 - 9.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 806495648 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*j + 196. Let i = 38 - j. Solve -g = -i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1839139 divided by -12.\nAnswer: 1839139\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2239, 3396, 4553, 5710, 6867, 8024?\n\"Answer: 1157*u + 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45499 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.2 in -6, -3\/10, -2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 183 and 11583412?\nAnswer: 34750236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 + 5105*l\/3 + 20404\/3.\nAnswer: (l + 4)*(l + 5101)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - (-2*sqrt(416) + sqrt(416))\/sqrt(8)) + (sqrt(52) - 6*sqrt(832)))\/(2*sqrt(196) - (sqrt(4) - sqrt(20)\/(sqrt(15)\/sqrt(3)))).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -680, -1366, -2062, -2774, -3508?\n\"Answer: -o**3 + o**2 - 682*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -22. Let c be 1119\/21 + 2\/14*-2. Suppose -3*h - 168 = -3*l, 5*h = -l + 3*h + c. Calculate the highest common factor of l and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*54\/(-6))\/(-30*24\/144).\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 47, -7\/5, -0.07, -2, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 + 50*y**2 + 131*y - 50. Give r(-22).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*-2 + 140. Suppose o + 9459 = 2*w. Round w to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -20. Differentiate -5 + c*x**3 - 10*x**3 - 8 - 17*x**3 wrt x.\nAnswer: -69*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 45 = -5*g, 0*g + 3*g = -y + 13. Let u(k) = 2*k**3 + 11*k**2 - 4*k + 15. Let p(x) = -x**3 - 6*x**2 + 2*x - 8. Determine g*u(c) + 11*p(c).\nAnswer: c**3 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 1 - (-2 - (-1 + 1)\/1). Let b = 0 - -2. What is the closest to b in 0.4, -0.03, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/7606000 and -31\/22818000?\nAnswer: 22818000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18436, -18527, -18618, -18709?\n\"Answer: -91*f - 18345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158599669248.00000787 - -158599667737. Let h = s + 1511. What is h rounded to 7 decimal places?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 12:28 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -4 - -10) + 393*2. Let f = 1172 - r. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6136372 is divided by 35885?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j + 1\/3*j**3 + 1\/20*j**5 - 5\/12*j**4 + 0 - 2*j**2. Let c = 82 - 77. Determine y(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**5\/60 + q**4\/24 + q**3\/6 + 7*q**2 - 6*q. Let k(b) be the first derivative of r(b). Determine k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 + -7187604.\nAnswer: -7187641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h - h + 13*h.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 37. Suppose k = 2*r + 3*r. Let v(l) = l**2 + 28*l - 57. Let q be v(2). Solve 2*x = -4*o - 0*o, r*o - 2 = -q*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 30 + -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4201 (b) 0.18 (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 10:19 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine fifths of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50055217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2308246 + -5?\nAnswer: -2308251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 174\/30 - 3 - (-1)\/5. Which is the smallest value? (a) -3 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 + 512*z**2 + 160*z + 1865. Give j(171).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*v + 164385 = 165*v - 82*v. Does 39 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 50. Let x = p + 35. Solve -x - 2 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in -2\/17, -2, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4*(-3)\/228*-2.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*y - 30, 613*y = 611*y - 5*i - 50 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -645645?\nAnswer: -645649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2687749842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 4, r: 3}. What is prob of sequence rvv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 17. Solve x + 4 = 3*m, -3 = -0*x + x - f*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2295946*s - 4591900*s + 2295943*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y**2 + 3*y. Determine u(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1045112, -1045252, -1045392?\nAnswer: -1045532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -7 + 2*n**5 + 5\/2*n**6 + 0*n - 65\/4*n**4 - 40\/3*n**3 + 10*n**2. Solve b(s) = 0 for s.\nAnswer: -2, -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -3*j**3 + 3*j**2\/2 + 8*j. Let s be k(-1). Is s\/2*(-30)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(70)*1 - (-6*(sqrt(70) + (sqrt(70) - sqrt(70)*2)) - sqrt(70)))\/(-2*1*(sqrt(1210)*3 - sqrt(1210))))**2.\nAnswer: 63\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(1\/4))))**(-1\/60)*(y\/y**5)\/(y*y**(-2)))**(-37) assuming y is positive.\nAnswer: y**(8917\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -572*q**2 - 23*q + 29. Determine o(2).\nAnswer: -2305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.15 (b) 5 (c) -21 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from srzyaii?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**17*v**16)\/(v**(-10\/9)\/((((v*v**(-2\/3)*v)\/v)\/v)\/v)))**(2\/55) assuming v is positive.\nAnswer: v**(584\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/1 + 0 + -1. Let k = 79 - 304. Let c = k - -227. Solve -c*m - n = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11122001211 (base 3) in base 4?\nAnswer: 112100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194*y**3 + 308*y**2 + 207362*y wrt y?\nAnswer: -1164*y + 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 33. Let w = 29 - q. Let o be w\/(-12)*1*-22. What is the highest common divisor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2784 and 89\/144.\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610987.3 millennia to centuries.\nAnswer: 6109873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 4*u**2 - 2*u + 3. Let k be w(-5). Let d = 21 + k. Let q = -6 + d. Solve q = 3*b + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19122 + 19810. What is the smallest common multiple of 872 and p?\nAnswer: 74992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*k + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/899 - -91\/10788. Let f = n + 3107\/8700. Is 1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1740 and 41\/90.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67821580 by 5.\nAnswer: 13564316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 182.778, 2, 1\/3, -0.2, 1\/2, 3\/2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1790717 is divided by 21318?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.04 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45.55 + 45.85. Let t = -5 - -5.6. Which is the closest to t? (a) -0.2 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16567 - 33136 + 16569 + 28*t**2 + 14*t**2.\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2 - 5*u)*(0*u - u + 2*u) - 2*u**2 + 2 - 2)*(219*u + 49*u + 93*u)*(0 - 2 + 3).\nAnswer: -2527*u**3 - 722*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(4\/11))\/s*s*s*(s\/(s**(8\/5)*s))\/s*s*s)\/(s**(-3))**22)**(1\/55) assuming s is positive.\nAnswer: s**(3687\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 9:22 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k*l**3*p**2 - 2*k*l**3*p + 10*k*l**3 + 2*k*l**2*p - 18*k*l + 5*k*p**2 - l**3 wrt l?\nAnswer: 12*k*p**2 - 12*k*p + 60*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223193?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73 - 365481?\nAnswer: -365564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1590645 by -106043.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1\/2)\/x)*x*x)\/x)\/(x\/(x**26\/x)*x) assuming x is positive.\nAnswer: x**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -6 - 1950\/(-55) - 0\/1?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 544\/(-96) + 20\/12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p*v**3 - 83013*p*v**2 - 7*p*v - 61276*p + 8*v**3 wrt v?\nAnswer: 6*p*v - 166026*p + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 120 - 7*l**2 + 23*l - 117 + 2*l. Let v(k) = k**2 - 1. Let u(n) = r(n) + 5*v(n). What is the units digit of u(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g + 0*g)*(-g - 2*g - 4*g) + (23*g**2 + 2*g**2 - 8*g**2)*(2 - 3 - 1) + (g - g - g)*(g + 2 - 2).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012602 to 6 dps.\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(5000)*-6)**2 - sqrt(50) - 2*(sqrt(7200))**2)*-3.\nAnswer: -45*sqrt(2) + 1490400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -51e (base 16) to base 8\nAnswer: -2436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1*36\/(-8)))\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 2 + 12*x - x**2 - 11. What are the prime factors of l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from exyixgyff?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9900 and 40084?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8867 + -2107. Suppose 2*l = -3*l + o. Let g = -831 + l. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*u = 489*u + 4823. Is u at most -1455\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1903398 and 4.\nAnswer: 7613592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -3\/8 (b) 2\/7 (c) 3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/4)\/i*i)\/(i\/(i**(-2\/3)*i))*(i**(3\/5))**(-2\/39) assuming i is positive.\nAnswer: i**(41\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 58. Let x be i(13). Solve -4*m + x*m = h - 11, 3*m + h = -9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 1669 - 1259 = 0. Let a = -333 - u. Solve -a*h = -31*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 294*c**2. Let f(g) = 8*g. Calculate f(w(k)).\nAnswer: 2352*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23102033 (base 4) in base 10?\nAnswer: 46223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -22 - 25 + 59 - 3*y**2 = 0. What is y?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 3*s + 21, 33 - 7 = 2*v + 4*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z**3 - 3*z + 9*z - 6*z.\nAnswer: 35*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 - 4 - 3*a**2 + 6 as z*a**2 + f*a + t and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116889, -116891, -116893, -116895, -116897, -116899?\nAnswer: -116901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0907 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 - 0.13. Let s = 0.1 + d. Let r = 2.2 + 1.8. Sort s, r, 4\/5 in descending order.\nAnswer: r, 4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-7))\/(160\/560) + -8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 214*b + 1078. What is the remainder when 411 is divided by i(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 > 490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*d + 199*d - 9 + 9 to u*d + l and give u.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-5)\/210)\/(1\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 6:13 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -16054*u + 1. Let b(y) = 2*y. What is b(s(h))?\nAnswer: -32108*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37485 = -66*s + 569451. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -22*m - 452. Let y be g(-23). What is the greatest common divisor of y and 576?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - (-182 - -120) - (2 - (-2 + 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 3*z + 1\/21*z**7 + 0*z**3 + 0 + 1\/6*z**4 - 1\/10*z**5 + 0*z**2 - 1\/15*z**6. Factor a(m).\nAnswer: 2*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2188 and 8205.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -342*k + 47. Determine o(1).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -17100*l**3 - 100*l. Let f(m) = -518*m**3 - 3*m. Give -100*f(j) + 3*i(j).\nAnswer: 500*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b - 192. Let n be k(15). Find the third derivative of -4*p**2 + 17*p**3 - 120*p**n - 2 - 143*p + 2 + 6*p**2 wrt p.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - k**3 - 3 + (1 - 1 + 2*k)*(k**2 + 0*k**2 - 2*k**2) + 2*k**3 + 0*k**3 - k**3 + k + 3*k**3 - k + (-3 + 2 + 24*k - 1)*(5*k**2 - 2*k**2 - 2*k**2).\nAnswer: 25*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 1. Let y be j(2). Let o be (-44)\/(-66) + (-12)\/(-9). Sort y, -1, o in descending order.\nAnswer: o, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*p**5 - 1052*p**4 - 9244*p**3 - 21528*p**2 - 486*p + 32292 = 0. Calculate p.\nAnswer: -3, 1, 598\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -560 - -937. Let r(y) = 45*y - 166. Let m be r(0). Let t = a + m. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1889.8 + -1886.8. Let x = -5.2 + 0.2. Which is the biggest value? (a) q (b) -3 (c) 0.6 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 550\/167043 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3199*s**3 - 60*s**2 - 3488*s. Let v(x) = -3199*x**3 - 70*x**2 - 3485*x. Let b(l) = -7*j(l) + 6*v(l). Find the second derivative of b(y) wrt y.\nAnswer: 19194*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 23 = 5*p + 4*i, i + 10 = 4*p. Which is the closest to -1? (a) p (b) 0.03 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 877062, 3506449, 7888768, 14024025, 21912226, 31553377, 42947484?\nAnswer: 56094553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147 + -42. Does 35 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56406, 56408, 56410, 56412, 56414, 56416?\nAnswer: 56418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 610009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*v + 60, -v - 60 = 2*q - 6*q. Solve q = -l - 2*b + 4, -3*l - b - 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 4.2, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*w + 5 + 19 = 0, -3*i = -3*w - 27. Let x(z) = 6*z**3 - 2*z + 4*z**3 - i*z**3 + 2. What is the tens digit of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 + 0) - (-295 + 301)) + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(300) + -2 + sqrt(300) + -4*sqrt(300) + -5)**2 - (-1 + (sqrt(300) - (4 + sqrt(300)*2)) + 3).\nAnswer: 490*sqrt(3) + 1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14942 - -283902\/19. Which is the third biggest value? (a) 2\/65 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*(323\/34 - 10). Let x(r) = -30*r - 5. Give x(m).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**2*q*x**3 + 3*p**2*x - 5*p*q*x**2 - 3*p*q - 1604*q*x**3 - 22*x**2 wrt x?\nAnswer: 6*p**2*q - 9624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13333221 + -13230031?\nAnswer: 103130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1081, 8, 246 in decreasing order.\nAnswer: 246, 8, -1081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(873\/6)\/3 and -15\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 428378.8l?\nAnswer: 428378800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-7775438)\/(-158664) + -49) - 8\/164?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238726.\nAnswer: 2, 619363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35\/29 - -373\/261. Sort 5, -4\/3, 6\/5, p in descending order.\nAnswer: 5, 6\/5, p, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1286, 1349, 1390, 1415, 1430, 1441, 1454?\n\"Answer: g**3 - 17*g**2 + 107*g + 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12576 divided by -56359.\nAnswer: -12576\/56359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(((-2)\/1)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 8*n - 8. Let i be t(4). Let y(h) = 2*h**2 - 13*h + 18. What are the prime factors of y(i)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -111, -104, -93, -78?\n\"Answer: 2*o**2 + o - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 143*c + 138*c + 1 - 283*c. Let q = -1 + -3. What is the units digit of v(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -244.7 + 255. Let g = 477 - 474. Which is bigger: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -48*m - 336. Let f be b(-7). Let y = -22 - -27. Suppose 11 = 3*r - 5*x - 34, 0 = -y*r - 4*x + 112. Solve f = -n - 3*n - r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 246 - 212. Calculate the remainder when 56 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100926409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 1116064928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 - (-11 - -30).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1729680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 117941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3536 (b) 5 (c) -1\/11 (d) 1 (e) -4 (f) 0.1 (g) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 36691879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 93*s**2 - 1382*s + 5642. Determine t(-73).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 12*i**2 - 1 + 10*i**2 + 1 to m + s*i + t*i**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -710, -704, -688, -656, -602?\n\"Answer: f**3 - f**2 + 2*f - 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from jogor?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1099\nAnswer: -5\/1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117\/10 - -11. Is k <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k - 8. What is the units digit of z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9205 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 8485791?\nAnswer: -509147.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) 5 (c) -6\/29 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 12:41 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 78154.26 kilograms in milligrams?\nAnswer: 78154260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 173, 260, 347, 434?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6029?\nAnswer: 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19422 and 3320?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 plus 3934100997870?\nAnswer: 3934100997825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - x - 317 = -2*x, 4*x - 800 = -5*k. Round k to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50.62 - -0.62. Which is the nearest to x? (a) -1\/6 (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i + 63. Give y(0).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in years?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 14 (b) 0.02 (c) 2 (d) -2 (e) 48\/17 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33283, 67472, 101661?\nAnswer: 135850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m + 28. Let o be y(0). Let l = 16572 - 16488. What is the greatest common divisor of o and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -40*a - 1. Let n(l) = l. Let x(f) = -3*n(f) + u(f). Let w be x(-2). What is the highest common divisor of w and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194529*x + 36679*x - 34455*x.\nAnswer: 196753*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 14*c - 28*c - 5*c + 5 + 9*c to the form u*c + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-10) - (4 - 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*w + 4*k - 123, -2*k = 6. List the prime factors of (0 - 2\/4)*w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in 1\/3, 20011, 1\/2, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 8?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -6.97. Let t = -119 - -119.3. Which is the nearest to m? (a) t (b) -5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k + 3. Let w(d) = -d. Let v(b) = -j(b) - 2*w(b). Suppose -2*h + 4*m = 10, -5*h = -4*m + 40 - 15. Let c(l) = -9*l - 7. Determine h*v(x) + 2*c(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 v when three letters picked without replacement from {o: 4, v: 10, x: 3, p: 2}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -229, -7 in descending order.\nAnswer: 6, -7, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 100*i - 180.\nAnswer: -5*(i + 2)*(i + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -63\/4*j**4 + 191 + 0*j**3 - 9*j + 0*j**2. What is the derivative of s(q) wrt q?\nAnswer: -189*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 30. Let c be f(-24). Calculate the greatest common factor of 24 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 22)\/(6\/(281 + -293))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + -5 + 5) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 98 + -82 + (-110)\/7. What is the nearest to -0.1 in 243, 3\/2, k, 3\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1101110000010?\nAnswer: 1101110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -218501 (base 14) in base 13?\nAnswer: -30a6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(9\/2))\/v*v**9*v**(-4)*v*v**(-3\/8))**(-2\/11) assuming v is positive.\nAnswer: v**(-81\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**2\/2 - 10*y - 1. Let v be b(-7). Let m be (-1)\/(v\/(-30)*-2). Is m at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q*r*v - 3*q*v**2 + 6*q*v - q - 217*r*v**2 - 11*r + 26911*v**2 - 63*v - 6 wrt v.\nAnswer: -6*q - 434*r + 53822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -91*l - 185. List the prime factors of s(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5533 * 517.7\nAnswer: 804.14341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*h + 1276 + 5654. Suppose r + 4*l - 544 = 0, 570 = r + 2*l + 34. Calculate the highest common divisor of r and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*(-7)\/(-35)*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3621961792.5 from 0.177.\nAnswer: -3621961792.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p - 3 + 3)*(-2 + 0 + 1) + 4*p - 9 + 9 + (2*p - 5 + 5)*(-1 + 3 - 1).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -157982674 to the nearest ten thousand.\nAnswer: -157980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 35*s**2 + 16*s - 33. Let y be k(-18). Solve 0 = y*t + 4*t - 23*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, k: 3, p: 4, v: 1, e: 1}. What is prob of sequence me?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/393 (b) 0.019 (c) -1509\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(1246\/(-445))*266.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002421924 to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -127516 (base 9) to base 6\nAnswer: -1355410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 4*t**3 - 55*t**2 - 3*t**3 + 13 - 3 + 63*t**2. Let i be r(-8). Solve i*z - 3 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 7. Let v be j(3). Suppose v*o + 2*s - 2 = 10, 2*o - 12 = -4*s. Suppose -4*y + o*y = 118. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 327309 = -47*c + 43*c, 327339 = -4*c - 3*a. What is c rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 9. Let a be l(-2). Let w = a - -37. Does 6 divide -3 + (w - -4 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 337*k + 3369. Let x be n(-10). What is the smallest value in x, -26, 0.5, -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2117*m + 14498 + 54276 + 35600 = -18412 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11041 or -34641?\nAnswer: -34641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 65*r**3 + 61*r**3 + 0*r + r**2 as k + c*r**3 + x*r + z*r**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 24 = z, z + 15 + 1 = 3*u. Let o be 60 + u*((-4)\/(-8))\/1. Suppose 0 = 57*s - o*s + 5605. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + 0*o**2)*(-4*o**3 - 5*o**3 + 5*o**3) + (8*o**3 + 0*o**3 - o**3)*(-2*o**2 + 4*o**2 - o**2).\nAnswer: 19*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**3\/3 + 1418*q**2 + 126108*q = 0.\nAnswer: -2034, -93, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(22\/(-26))*-1)\/(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/20*55\/11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -332\nAnswer: 3\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65102289 and 35?\nAnswer: 325511445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/5*-6*25. Let t be (8\/10)\/(6\/n). Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21120330 (base 4) in base 9?\nAnswer: 57673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*z + 440*z - 197*z - 10*z.\nAnswer: 628*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 10:36 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k\/((k*k**(1\/7))\/k)*k))\/k)\/k*k*k)\/k**8*(k\/k**(-10))\/(k\/k**(2\/15)))**(-7) assuming k is positive.\nAnswer: k**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/7 - 1972*z**2\/7 - 244032*z\/7 - 242064\/7.\nAnswer: -4*(z + 1)*(z + 246)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 28*v + 46. Let n(d) = 3*d + 54. Let s be n(-16). What is the tens digit of w(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1376?\nAnswer: 275.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8677128 and 1464.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 20 + -30 + (0 - 9 - 31).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*i - 1182 + 356, -5*w - 2*i + 1034 = 0. Suppose -4*k + 5*k = 19. What is the remainder when w is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*x + 920*x = 457*x + 114 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -137461.7489?\nAnswer: 137461.6489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 153*t**3 - 222*t**2 - 15*t + 84.\nAnswer: 3*(t - 1)**2*(51*t + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 2. Suppose f - 25 = -k. 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 0.439832576 rounded to 3 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 894*q**2 + 3*q - 3. Let z be m(1). Suppose -z = -8*k + 154. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-15) + (-1019547)\/(-1215) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 1209363 - 347923 = 9*a. List the prime factors of a.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90615?\nAnswer: 3, 5, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + g - 3*g + 149 - 62.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i + 5*i**4 - 5*i**4 + 9*i**4 + i**4 wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.76829 + -265109?\nAnswer: -265112.76829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6040 + -6043. Let n = 35 - -21. Let g = n + -13. Which is the closest to 0? (a) 1\/6 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1730305 divided by 47\nAnswer: -36815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -723\/10 - -297\/4. Calculate the common denominator of 4 + -1 - (-435)\/(-42) and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(-53 + 33 + 21 + 28*b) - 3*b - 3*b + 4*b as w*b + q and give w.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 0.039370388 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 545 and 152491?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-195)\/156)\/(390\/12))\/(1\/(-6))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(784) + sqrt(784)*-2)\/(sqrt(63) - sqrt(63)*-1).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24514 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 19*w + 0*w**3 + 2 + 7*w**3 - 1 - 60*w + 7*w**4 wrt w?\nAnswer: 84*w**2 + 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) -103 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 282212 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-100)*100\/(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 29*b**2 + 115*b + 63. What is the units digit of j(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141476 by 313.\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpzppnpzvpnzppdpnppn. What is prob of picking 2 p?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/15 + (-357)\/(-315)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1263 + -0.0407. What is the biggest value in -0.3, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 7*p**2 + 5*p - 1. Suppose f - 20 = -4*f. What is the remainder when l(-8) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*v = -6732*v + 24752 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -174400 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/5? (a) 4 (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 + -7 + 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2596 divided by -1298.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 = 32. Let a = -14 + f. Factor 0*b**2 + a*b**2 - 4*b**4 + 2 + 5*b**4 + 7*b + 5*b**3.\nAnswer: (b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -16. Let n = u - -11. Suppose v - 7 = 2*x, 4*x + 3 = v - 8. Which is bigger: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3314*-142.\nAnswer: -615.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 207.5 - 238.475. Let h = r + 31. Let j = 0.089 + h. Round j to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4553 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15101, 30991, 57475, 94553, 142225?\n\"Answer: 5297*k**2 - k + 9805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + ((-1 - 11) + 6 - 0 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2533511 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 10 = -z, 0 = z - 3*c - 0 + 2. Let u = 72 + -66. What is the tens digit of (-14)\/u*z*-9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*o - 8. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 6 + 6*n + 3)*((3*n + 2*n - 4*n)*(-3 - 3 + 4) - 3*n + 7*n + 5*n) to x + d*n**2 + f*n and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0*x**4 - 11*x - 59\/15*x**6 - 157*x**2 + 0*x**5 + 2 + 0*x**3. Differentiate b(z) wrt z.\nAnswer: -472*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7364*v + 2. Let x(i) = 25*i**2. Calculate z(x(p)).\nAnswer: 184100*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158084084*o**3 - o**2 - 2*o + 14737.\nAnswer: 948504504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2653*u + 5316*u - 34 - 2651*u in the form v + y*u and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:19 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1221203 + -2?\nAnswer: -1221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1403 or 1397?\nAnswer: 1403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43184, -85882, -128578, -171272?\nAnswer: -213964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.1. Let m = 0.01 + -0.51. What is the closest to -0.1 in d, m, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3 - 6 + 3*a - 2*a. Let c be n(5). Let i(d) = d**3 + 6*d**2 - 7*d + 2. Let j be i(-7). Solve 2*b = -c*g - 14, 4*g + 16 = -j*b + 4*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 3*z**2 - z - 4. Let y(x) = -x**3 + 4*x**2 - 3*x + 8. Let m be y(4). What is the remainder when (-2)\/9 - (-562)\/18 is divided by d(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -16 - 8. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81\/2 of a kilogram?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + f = -2, 2*d + 0*f = 3*f - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6958157*u**2 + u - 72423840 with respect to u.\nAnswer: 13916314*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 28595546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*p = -56, -4*z + 2*z + 5*p = -92. Calculate the lowest common multiple of z and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*(0 + 0 + -2). Suppose l + u*l - 12 = 2*c, 2*l = -2*c. Solve l*p = 6*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c - -763b7?\nAnswer: 7638a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8300323, 33201065, 74702309, 132804061, 207506327, 298809113?\nAnswer: 406712425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132410265 at most as big as 132410262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 12. Let g(a) = 2*a**2 + 37. Determine 3*g(m) - 8*v(m).\nAnswer: -2*m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8) + 287\/(-70) - -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 65 = 2*y, 3*y + 108 = 2*j + 3*j. Let o = 21 - j. Suppose 5*g - 25 = 0, -5*r + 5 + o = -2*g. Solve 0 = d + r*d + 4*c + 36, -d = 4*c + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peppepep. What is prob of picking 3 e?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2340\/75)\/13*13\/26.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/(-21))\/(60\/(-84))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-32.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*(4 + (sqrt(112) + sqrt(112) + -1 - sqrt(112))*6*-2) + -4))**2.\nAnswer: -41472*sqrt(7) + 585792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 4. Let w = -9 - -15. Calculate the smallest common multiple of j and 1\/2 + 9\/w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1767, 1764, 1759, 1752, 1743?\n\"Answer: -l**2 + 1768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 4*h**2 + 3*h**2)*(-2 + 2 - 1).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/27? (a) 4 (b) 0.1198 (c) 5.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 19. Let t = 12.5 + l. Let s = 12 - 9. Which is the third smallest value? (a) t (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 35 + -38 + (1 - 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*g + 12 = 5*x + 481*g, -7*x = -g + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/61 in -5, 1\/5, -102, -2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -59*c + 4. What is l(-1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -250, -418, -616?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11*v - 2. Let y(a) = -4*a - 1. Let h = -4 + 1. Let o(b) = h*j(b) + 8*y(b). What is the units digit of o(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 1. Let n(m) = m - 25. Let w(l) = -l - 1. Let d(r) = -37. Let a(z) = -d(z) + w(z). Let c(q) = -5*a(q) - 7*n(q). Give c(x) - 3*u(x).\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 79\/9 + (-4)\/(-18). Let y be 0\/(-1)*o\/18. Determine f so that 8\/7*f + 2\/7*f**3 - 8\/7*f**2 + y = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 7:30 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a**3 - 1 - 10*a**3 + 28*a**3 to the form l + s*a**3 + p*a + t*a**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59220520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142371\/72608 - -18\/2269. Calculate the common denominator of -85\/8 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5359452 minus 1.19635?\nAnswer: -5359453.19635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(720)*1*-5*-1*-4)**2.\nAnswer: -960*sqrt(5) + 288004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59\/28 - 9\/4. Suppose 3*b = 3*k + 5 - 2, -b - 4*k + 1 = 0. Let v be b - (1 + (-2 - 1)). Put 5, n, v in descending order.\nAnswer: 5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11323223 (base 4) to base 15.\nAnswer: 72ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 4. Let h be y(0). Let q be (3\/(-2))\/((-115)\/(-30) - h). Solve -5*o = -16 - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 225*d + 28 + 43 + 38 - 212*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 2*d**2 - 13*d + 1. What is the remainder when k(12) is divided by 0\/(0 - 2) - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**8\/6720 - m**7\/630 + m**6\/120 - m**5\/120 - 5*m**4\/8 + 17*m**2. Let f(z) be the second derivative of w(z). What is f(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twiiiiiiti. Give prob of sequence wt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + (-281)\/(-21). Let t = x + -14. Let y = 4 + -7. Which is the second smallest value? (a) -2 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - -3) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyc. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in -4\/13, -5, -4, 5, -1?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n - 42617780 = -42621112 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-9)*m)\/m))**(7\/10)*(m**7)**(-8\/11) assuming m is positive.\nAnswer: m**(21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -282\/53 + 1875\/1219. Is f at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**4\/12 + m**3\/3 + 28*m**2. Let v be o(-4). Solve 0*f = -2*l + 2*f, 5*l - 3*f + v = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*c**2 + 8*c - 8*c - 22*c**2 - 3.\nAnswer: -77*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 26*i + 4. Is l(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = -4. Suppose 2 + 67 = v*t. Solve -t = -5*l + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5249097*m**6 - 8*m**2 - 10*m - 21060 wrt m?\nAnswer: 629891640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + o - 5*o = -508, 532 = 4*g - 4*o. Calculate the remainder when g is divided by (5 + 0)*38\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(208) + (3 + -2 + sqrt(13) - sqrt(13))).\nAnswer: -4*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (224\/140)\/(5\/125). Let p(c) = c**3 - 6*c**2 - 6*c - 6. Let t be p(7). Solve -g*n = -41*n + t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 m when three letters picked without replacement from {m: 6, s: 2, f: 2, z: 2, n: 3, b: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8887409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6223, -6231, -6243, -6259?\nAnswer: -6279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 19. Let l(m) = -5*m**2 - m - 1. Let s be l(i). Suppose 3*f + f + 32 = -4*y, -2*f = -3*y - 4. Sort f, s, 4 in decreasing order.\nAnswer: 4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, 4, 5, 0.05, 590?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = -d + 4*u, -2*u + 30 = 5*d. Let p(f) = -4*f - 2. Let l(j) = -j. Give d*l(t) - p(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 take away -1.503?\nAnswer: -45.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:16 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-14) + (-486)\/(-14) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53328 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + 4*-1*sqrt(475)))**2 + -5 + -3.\nAnswer: -1280*sqrt(19) + 121656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + -1 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -139*z**3 + 4*z**2 + 2*z + 8. Let a(c) = -279*c**3 + 8*c**2 + 5*c + 18. Determine -4*a(l) + 9*o(l).\nAnswer: -135*l**3 + 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 187030 take away 0.02471368?\nAnswer: 187029.97528632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p - p)*(-2*p**3 + 0*p**3 + 3*p**3) + 3*p**3 - 2*p**4 - 3*p**3 + 2*p**4 + 1 - 1 + (-5*p + p + 5*p)*(-p**3 - p**3 + 0*p**3).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22303150721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -3\/5, 2, 4, -147, -1\/4 in decreasing order.\nAnswer: 4, 2, -2\/11, -1\/4, -3\/5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 80 = 5*v, v - o - 8 = 5. Let s be 3*3\/(v\/170). Let p be (-2)\/16 + s\/40. Solve -2*y - 2*k = -14, -2*y = 3*y + p*k - 23 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 13. Let y(o) = -o. Let x be y(5). Let a = t + x. Calculate the greatest common factor of a and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 190 = 2*o + 2*d, 3*d + 15 = 0. List the prime factors of -5*1*o\/6.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22871697*x**2 - 23576406 with respect to x.\nAnswer: 45743394*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -25. Let c = -13767 + 13774. Calculate the remainder when n is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -4 + 14 + (-25 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/9)\/((-12)\/54). Let z be (4 - 4) + n + 2. Let m(d) = 2*d**3 - 3*d**2 + 3. Let i(w) = 0 + w**3 + 1 - 4*w**2 + 3*w**2. Determine z*m(r) + 3*i(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 200*u + 1 - 0 - 1. Let i(a) be the first derivative of 0*a**4 - 2\/5*a**5 + 0*a + 13*a**2 + u*a**3 - 24. Find the second derivative of i(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 6\/5*k**3 + 0*k + 2\/5*k**4 + 0*k**2 = 0. What is k?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 149*l - 146*l + 295*l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -655.43 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 - 53*b + 17 - 17 + 16*b + 21*b + 10*b**2 + 2*b**3 to u*b**4 + v*b**3 + t + m*b + s*b**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 5:40 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:44 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y = -19*y - 57*b - 441, 3*y - 3*b = -3*y + 3*y + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 496065490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -45. Let a be -13 - (12\/(-4))\/(-3). What is the fourth smallest value in -3\/2, -2, w, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 6. Let c be q(6). Let y(w) = w**2 + 2. Let t be y(c). Solve 0 = u - t*r + 3*r + 1, -2*u + 4*r - 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, 0.1, 2\/7, 1.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8 - -1) + (-318 - -311)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000166002 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2615 - 21385 = 3*y. What is y rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119) - (sqrt(119) - (sqrt(119) - -1*sqrt(119)*-1))) + sqrt(119) - sqrt(119))\/((3*sqrt(77))\/sqrt(11)) + 1 + 3.\nAnswer: sqrt(17)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2080897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24326 + 24325.6. Which is the smallest value? (a) 5 (b) -6803 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**4 - 60*u**3 - 50*u**2 + 60*u + 55 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 - 77 - 11*d + (0 - 2*d + 0)*(-2 - 2 + 6) + (2 + 4 - 7)*(-2*d - 3*d + 4*d) + (-3 - 1 + 2)*(-6*d + 4*d + 3*d) to the form f + y*d and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 1. Let z(c) = -5*c + 13. Let t(q) = -4*a(q) - z(q). Calculate t(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87, -89, -27, 129, 409, 843, 1461, 2293?\n\"Answer: 5*o**3 + 2*o**2 - 43*o - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2 + 1. Let j be l + -7 + 2 + 1. Put -20, -3, j in ascending order.\nAnswer: -20, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47750 + 47723 = 3*m - o, -5*m + o - 33 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 9*a - 4. Let z be b(-8). Which is greater: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.3 - -7.1. Let g = 11 - 21. Let w = 9.7 + g. Which is the third smallest value? (a) 4 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - 15. Let k(z) = -z**2 - 23*z + 26. Let w be k(n). What is the highest common divisor of w and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*q + 148969 = 17188. Is 93 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 1. Let o(z) = -3*z**2 - 6*z**2 - 6 - z**2 + 9*z**2 - z. Let b(r) = o(r) - 5*w(r). Suppose -4*d - 11 = -7. What is b(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19008 is divided by 161?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06347 - 2.93653. Which is the closest to 0.006? (a) 0.3 (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 3*a + 0*a + (-2*a - a + a)*(1 - 3 + 1) - 2*a - a + 2*a + 4*a - a - a + 146 - 50 - 82*a - 46 - 50.\nAnswer: -80*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 10900560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*h, u + h - 12 = -4*h. Let t be 630\/(-39) + u\/13. List the prime factors of (-7)\/((0 - -2)\/t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12\/11, 0.3, 4, -193, 0.2, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = -5*r, 4*r + 2*o - 3*o = 6. Suppose 0 = -3*v + r + 4. Factor f**3 + 5*f**2 + 2*f + f**3 - f**v.\nAnswer: 2*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 65 = 9*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 8. Let z = 4 + -6. Put -5, d, z in descending order.\nAnswer: d, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. What is the closest to -1 in -2, 1\/6, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 42505*o + 212400.\nAnswer: 5*(o + 5)*(o + 8496)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/6 - 0) + 333 + -1.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*c**2 - 12729*c**3 - 32*c**2 + 248*c**3 + 2096*c**3)*(-c + 4*c - c).\nAnswer: -20770*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 631*m**3 + 28*m**2 - 235*m + 9. Is u(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4824413184 - 10.207.\nAnswer: -4824413194.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from mmmkmmsmsss?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = 10*p + 154 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 334*d**2 - 1821*d + 32576. What is k(162)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + 105 + 13*j**2.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(10\/3)*(-5)\/(-6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 179*q**3 + 5 + 269*q**3 + 9 - 69*q**3.\nAnswer: 379*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -2, -31.2, -4\/7, -1\/11, -0.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 2104641890.\nAnswer: 2104641893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + 4 + -3 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 13*p - 8*p - 6*p.\nAnswer: -p - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, z: 2}. Give prob of picking 2 j.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.080013 rounded to 4 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1931.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 3:08 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 1. Let x = -2.08 + 0.08. Which is the closest to k? (a) x (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ram when three letters picked without replacement from {r: 5, a: 7, m: 2}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 347999\/16 - 21750. Find the common denominator of f and 1\/102.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4705540 to the nearest integer?\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -235 in -1\/8, -0.1, -4, -0.5, -3\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 3032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 5*b**4\/12 - b**3\/2 - 2*b. Find the second derivative of c(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 6*p**2 + 65*p - 37. Let v be i(-6). Which is the second smallest value? (a) v (b) 0.2 (c) 2\/25 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2302820, -2303007, -2303194, -2303381?\n\"Answer: -187*d - 2302633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-22)\/(j**(-16)\/j))**20 assuming j is positive.\nAnswer: j**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 38 + 22. Let s be (r\/4)\/(-3)*-4. Is ((-634)\/2)\/(5\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4450\/11 - 404. Which is the biggest value? (a) -0.5 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34907 + 31045.6. What is w rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -541 - -773. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 2. Let h(x) = 85*x - 2. Determine h(i(p)).\nAnswer: 255*p - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 != -4677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -66822.71003 rounded to the nearest 100?\nAnswer: -66800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let k = -9 - -3. Let t be k\/4 + 1\/(-2). Sort v, 2, t.\nAnswer: t, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580009 and 14351?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 566556922867.6.\nAnswer: 566556922867.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67426 - -ac?\nAnswer: -67347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b. Let f(v) = 5*v**2 + 258. Give f(m(o)).\nAnswer: 125*o**2 + 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + 1. Find the common denominator of (-130)\/s - 6\/2 and (-1133)\/84 + 4 + -1 + 148\/259.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54392 divided by -4\nAnswer: 13598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/8)*(a\/a**15)\/a*(a*a*a*a*a*a\/(a*a**7)*a)**(-36))**(-5\/2) assuming a is positive.\nAnswer: a**(-835\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71301489?\nAnswer: 3, 7, 3395309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*(-8)\/(-90)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Let b(g) = -g**2 - 5*g - 1. Let s = 11 + -16. Let d be b(s). What is the third smallest value in i, 1, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*m - 26 - 335*m - 1 + 130*m to the form q*m + h and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 36995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-1*-3*1.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -33924 and -101776\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -209.02 and 0.2?\nAnswer: -41.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((3 - -1) + 21) - (11 + -10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2892)\/(-165)*30\/20. Let x = -342\/11 + h. Find the common denominator of (-29)\/20 - (-6)\/(-24) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 948 - 2487 = 57*l for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-6*sqrt(200)\/sqrt(10) - (sqrt(60)\/(sqrt(12) + sqrt(48)) + -3 + sqrt(5)*-1))*6 + -4)**2*-4.\nAnswer: -93636 + 9248*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 9 - ((-45 - -8) + 1 + 6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220233 + -1404?\nAnswer: -221640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -44\/3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36, -2597 in descending order.\nAnswer: 36, 4, -2597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -108 in increasing order.\nAnswer: -108, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 718041.5 grams?\nAnswer: 718.0415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 27*n**2 + 227*n + 2051. Determine y(-21).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 284126\/(-91332) - -3 - (-5)\/45. Is 0 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12874 is divided by 243?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5333 is divided by 1603?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -308 + 315.63. What is the third biggest value in 5, y, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4876 + 4886. Solve 3*l + 2*u = -r, 2*l - 2*u + 15 = -5*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-686)*1*(-21)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/3))**(-47)\/(a\/a**(-1\/2)*a)**(-11)*(a**1*a\/a**(-4)*a)\/((((a*a**(-5\/2)*a)\/a)\/a)\/((a*a\/(a\/(a**2*a)))\/a)) assuming a is positive.\nAnswer: a**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/11142090 and -9\/16?\nAnswer: 89136720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(3*m - 4*m - m) - 3*m + 3*m - m + 22*m + 5264 - 5264 - 3 + 3 + m - 2*m + 2*m - 2*m + (-1 + 2 - 2)*(0 + m + 0) - 8*m + 137 - 137.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53\/70 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -96, -98, -102, -108, -116?\n\"Answer: -v**2 + v - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3 + 321*y**2 + 8313*y + 63291 = 0?\nAnswer: -73, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 250*n - 49718. Give y(199).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -10, -100, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 213 = 447. Calculate the remainder when 169 is divided by z.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*t - 26, -3*d + 4*t + 19 = 3*t. Suppose -d*m = -3*m + 57. Let k = -13 - m. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 9*k - 4. Let m be ((-7)\/(-3))\/(1*3\/(-9)). List the prime factors of b(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16982 = -3*h + 35071. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwa when four letters picked without replacement from {d: 2, a: 3, z: 2, w: 5, t: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577230839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7571125, 7571123, 7571119, 7571113, 7571105?\n\"Answer: -n**2 + n + 7571125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 19023.9 to the nearest ten.\nAnswer: 19020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*h*o**3 - 2*c*h*w**2 - 4*c*o**3 + 5*c*o**2*w**2 + 2*c*o**2 + 24*h*o*w**2 - 2*o**3*w wrt h?\nAnswer: c*o**3 - 2*c*w**2 + 24*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/18)\/(-19)*-14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) 10 (c) 579\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 2:26 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 - 12 - (-1 + -1). Solve -4*u + 2*s = -2*s - 16, g*u + 4*s - 11 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 12129?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-4\/5)\/k*k*k*k**(-2\/5) assuming k is positive.\nAnswer: k**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8016 - 15984 = 108*w + 492*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81345 or 81346?\nAnswer: 81345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000000011100110000 (base 2) in base 10?\nAnswer: -526128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/28*156\/(-4914).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/4)*g)**10\/(g**3*g\/(g*g\/g**3))*((g\/g**(-5))\/g*g\/(g**(-2\/5)\/g))\/(g**(-1\/4)\/g)**(-1\/8) assuming g is positive.\nAnswer: g**(3159\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - 40. Let x = 91 + -92. What is the units digit of 3\/((-7)\/t - x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34904, -34871, -34838, -34805, -34772?\n\"Answer: 33*m - 34937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4588094748 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -18. Which is the biggest value? (a) -8 (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let r(z) be the second derivative of 0*z**2 - 2*z - 1\/12*z**4 + 0*z**3 + 0. Give s(r(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95284.3 - 3924720.3. Let r = n + 3829381.000165. Let q = 55 + r. Round q to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 4*c - 3. Let t = 65 + -60.3. Let z = 1.7 - t. What is the nearest to -2\/5 in z, c, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 304?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(6 - (-39)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238160 is divided by 6176?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/10)\/(-2))\/(18\/(-18)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y = -23232. Let t = y + -23033\/4. Let f = 50 - t. Is f smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l - 49. Let y be k(13). Suppose -2880 = 36*d - y*d. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32336.74023 to the nearest 100.\nAnswer: -32300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 a, and 1 c when four letters picked without replacement from ramaacamraa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*r - 4 - 39, l + 2*r = 3. List the prime factors of 33\/(l\/(84\/18)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -295*v**8\/112 - 19*v**5\/60 + 5*v**3\/6 - 759*v**2. What is the third derivative of x(a) wrt a?\nAnswer: -53100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 + 226d?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23963518 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 25 = 5*y, 5*y - h = 1 - 0. Let i = 14404 - 14372. What is the highest common divisor of y and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a (base 15) in base 3?\nAnswer: 100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 6 = 2*g. Suppose k = 2 + g. Let r(f) = -f + 3. Give r(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -67.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405237 is divided by 8674.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 13 + -7 + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.5466 weeks to milliseconds.\nAnswer: 7588183680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**3 + g**2 + 7 - 4 - 2*g - 3 in the form w + h*g**2 + n*g + i*g**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d**2*q**2 - d**2*q - 73*d*q**2 - 10235*d*q - 19*q**2 + 1 wrt q.\nAnswer: 18*d**2 - 146*d - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/13, 2, -4, -7, -0.03, 120.\nAnswer: -7, -4, -0.03, 15\/13, 2, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5281 <= -5604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20131 (base 4) to base 12.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Let h be (48\/28)\/(2\/105). Suppose 0*v - i*v + h = 0. What is the greatest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1497.84 - 1498. Which is smaller: -1.4 or p?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - 16*b**2 - 10*b - 62. Calculate x(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r - 3 + 10 - 8.\nAnswer: -29*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 5, e: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 722576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 3*c = -c + 8, -375*d - 3*c = -373*d - 2 - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*c, 180*q - 25 = 177*q - c for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 324 + -204. Suppose -2*c + d + 48 = 0, 5*c - 6*d + 8*d - x = 0. Suppose 5*f - 34 = -c. Solve -4 + 0 = -f*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.111*-9.\nAnswer: -0.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10007699.\nAnswer: 13, 19, 31, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 61) + ((-440 - -432) + -1 + -3 - -25).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**3*d\/d**(-3)*d)**(-8\/13))**11)**(12\/5) assuming d is positive.\nAnswer: d**(-8448\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 20d3d84?\nAnswer: -20d3d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*g**4 + 14*g**4 - 9 - 19*g**4 + 38 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*2\/12 - (-195)\/10. Suppose z*r - 67986 = -11005. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((16 - 24) + (0 - -6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 1. Let o be i(-5). Let l(y) = 9 - 258*y - 263*y + 519*y. Give l(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.8 (b) -1\/7 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1465 and 1?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-4)\/(-6) + 5. Suppose l = -5*n - y, -3*y = -2*n + 2*y - 19. Let x = 0.449 + 0.051. Which is the third smallest value? (a) n (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:19 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z, 2851 = 5*p - z - 168. Let t = p - 96. Suppose -3*w + 176 + t = 0. What are the prime factors of w?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.11 - -0.11. Let t = 982 - 983. What is the nearest to a in -24, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 l when four letters picked without replacement from vvvvvvvevvvlvvllv?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 361066 and 361264 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17260152 is divided by 1001?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1670, 1660, 1648, 1634?\n\"Answer: -k**2 - 7*k + 1678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 7*r**2 - 5*r - 8. Let t be i(6). Let f(h) = h**3 + 13*h**2 + 43*h + 30. Let k be f(-8). Put 1, k, -4, t in decreasing order.\nAnswer: k, 1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 169 = 53. Let x(d) = 7*d**2 - 4*d - 6. Let b(o) = 6*o**2 - 4*o - 5. Determine t*b(i) - 5*x(i).\nAnswer: i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16159, -69759, -159091, -284155, -444951?\nAnswer: -641479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3355*g + 21 = -3362*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127008 and 28512?\nAnswer: 1397088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172.3 + 164. Round z to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204362 (base 8) to base 12.\nAnswer: 33302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 + 15647074*n - 125176464.\nAnswer: -2*(n - 7823529)*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**10\/604800 - m**9\/120960 - m**5\/30 + 3*m**2. Let u(y) be the third derivative of r(y). Factor u(b).\nAnswer: b**3*(b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48598576, 48598579, 48598582, 48598585?\nAnswer: 48598588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80482291 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 + -3 - (-17 + 14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -187*r - 4. Let s(p) = -375*p - 7. Give -3*s(q) + 5*x(q).\nAnswer: 190*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - (-374)\/68.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -20853691.\nAnswer: -20853683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - 2001121122?\nAnswer: -2001121000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/(-105)*7)\/14.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*b + 176, 4*u - 3*b - 34 = -729. Let a be (-1)\/(2 + -3)*u. Let d = 270 + a. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1929 - -831?\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5*u - 16, 3*u + 3*q - 1931 + 1943 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - z**2 + 2. Let v be q(0). Let i be (-7)\/(245\/(-10))*14. Solve -i*c - 14 = v*l - 4, l - 7 = 2*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -29\/30*r**6 + 0*r**4 + 0*r**3 + 19\/2*r**2 + 0*r**5 + 0 - 30*r. Find the first derivative of b(z) wrt z.\nAnswer: -116*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbnbbbbnbaeeee. Give prob of sequence ea.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5 - 500*i**4 - 436578*i**3 - 427972*i**2 + 6966664*i - 8720880 = 0. Calculate i.\nAnswer: -358, -5, 2, 609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313037 is divided by 31303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-457 + 4*j + 457)*(2*j**4 + j**4 - j**4) - 2*j**5 + 3*j**5 + j**5 + (3*j**3 + 0*j**3 - 4*j**3)*(-j + 2*j - 3*j)*(j - 3*j - 2*j).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 6*h + 11287 + 6*h - 11287.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 36)\/((-1)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10.7 times 0.037\nAnswer: 0.3959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 30 = -5*s - 0*s, -4*v = -s - 18. Suppose -5*p + s*p = 0. Suppose r = -p*r. Is r smaller than 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1308806998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -693*b + 623*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2343, -4722, -7127, -9570, -12063, -14618, -17247?\nAnswer: -19962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*k - z + 100, -4*z = k - 36. Suppose 0 = 3*n + 4*i - k, i = 5*n - 58 + 2. What is the least common multiple of 14 and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 132 = 3*z, -2*z + 29 = 5*q + 249. Let y = -29 - q. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.1. Let r = -180\/91 + 22\/13. Which is the third smallest value? (a) r (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 4 + -14 + 11 - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -888466 to the nearest ten thousand.\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, 0.2, -0.264, 13\/4 in decreasing order.\nAnswer: 13\/4, 0.2, -0.264, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/103870 and -101\/193076?\nAnswer: 16411460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5915963243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -19 (c) -5 (d) 0.6 (e) -0.319 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105984501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -54?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 3*w**2 + 3*w. Let c be k(-4). Suppose -5*q = -c*q + 3. Is q > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 3286 - 3350 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*w + 1246*l*w + 28*w - 12 wrt l.\nAnswer: -6*l**2*w + 1246*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88357774333583 + -2.\nAnswer: 88357774333581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 501 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 54*z - 59*z. Suppose 0 = -z*h + 3*h + 6. Solve 3 + h = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250) + (sqrt(250) - sqrt(250)*-3))\/sqrt(2) + (-2*(sqrt(5) - sqrt(15)\/sqrt(147)))**2 + 5.\nAnswer: 965\/49 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96 (base 11) to base 3.\nAnswer: -10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*s - 81*s - 3784 = 247*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -34*a**2 + 201*a - 2. What is m(7)?\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/13)*f*f**13)\/((f*f*f**(-1)\/f)\/f)**(-25\/2))**23 assuming f is positive.\nAnswer: f**(1081\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Suppose -d*m + 4*g - 10 = -32, -4*m + 12 = -g. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by 4029191.\nAnswer: 109\/4029191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231708 = -37*q + 410575. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -153, -112, 31, 336, 863, 1672, 2823?\n\"Answer: 10*l**3 - 9*l**2 - 2*l - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15 + 0)*(-5 - (-164)\/12). Suppose -3*z - 34 = -l, -q = -3*l + 12*z - 17*z. Calculate the greatest common factor of 100 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0 - 0) + -2. Let d(c) = -5*c**2 - 2*c - 3. Let r(p) = -14*p**2 - 5*p - 8. Let s(g) = 17*d(g) - 6*r(g). Let j be s(m). Is j less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbwwhbbhbbhw. Give prob of picking 1 h, 2 b, and 1 w.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 8*j**2 - 8*j. Calculate i(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 143*w + 128*w)*(-2*w - 5*w + 5*w)*(3 - 1 + 1).\nAnswer: -1584*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 35*x**4)*(-x + 3*x - x) + 3*x**2 - 3*x**2 + 4*x**5 + (-4*x**4 + 3*x**4 + 0*x**4)*(0 + 0 + 2*x).\nAnswer: -33*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5731*d - 246405. Determine h(43).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k - 19. Let l(u) = u**2 + 5*u + 4. Let c be l(-8). Let h = 15 - c. Does 5 divide i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221701315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -26*z**2 + 22*z - 64. Determine s(3).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 451. Let c(x) = -4*x + 896. Calculate -6*c(u) - 11*o(u).\nAnswer: 2*u - 415","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34290 and 103050.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3 + 12 = -3*l, 4*l + 5*p = -47. Let y(w) = -w - 5*w - 6*w**2 - 2*w + w**3 + 14*w**2 - 11. Is y(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 23 + 2*o - 23. Let a(d) be the third derivative of 5*d**4\/4 + 2*d**2. What is a(w(r))?\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/(-8) - (-1)\/2. Let o be p + (0 - (-6 + 3)). Which is the closest to -1? (a) -4 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 10 in descending order.\nAnswer: 10, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -73*n - 6. Let h(o) = -67*o - 6. Determine -6*d(f) + 7*h(f).\nAnswer: -31*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 629*i**3*t - 22*i**2*t + 188*i**2 - 4*i + 12832890*t - 4 wrt i.\nAnswer: 3774*i*t - 44*t + 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 91 + 39 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 17*h + 48 = 13*o, -8*o = -6*h - 7*o + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 82*b = -498 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(1\/10))**(3\/7))**39)**18)**49 assuming s is positive.\nAnswer: s**(7371\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/11 - 558568*r**2\/11 + 11170760*r\/11 - 55852800\/11 = 0.\nAnswer: 10, 279264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:28 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*0 + 1624. Suppose 3*h - 1541 = a. Suppose y = 6*y - h. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.56 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 5:32 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 - 6*x - 1. Let z(q) = -2*q**2 - 4*q - 1. Let j(r) = 5*f(r) - 7*z(r). Let b(w) be the first derivative of j(w). What is b(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*f - 110, 2*y + f = -f + 220. Suppose -114*o = -y*o - 29804. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccmccccmmmcmcc. Give prob of picking 2 m and 2 c.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 13328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1785126, 1785102, 1785080, 1785060, 1785042, 1785026, 1785012?\nAnswer: 1785000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/126 + 7317\/(-162).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 7*a**2 + 2*a - 51. Calculate s(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52635984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 + 10\/25. Suppose 3*l - 549 = -3*m, -5*l + k*m + 907 = 3*m. Is l 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 192*n - 1104 - 320 - 136*n + 221*n wrt n?\nAnswer: 277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + -1255853567.\nAnswer: -1255853566.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011120121102 (base 3) in base 11?\nAnswer: 1283901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/4 - 2\/(-1). Suppose -5*x - 1 + 11 = b. What is the common denominator of x + 37*3\/(-6) and 101\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -30. Let r = z - -40. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**3 + 2*q + 6. Let w(c) = c**3 - 1. Determine -d(i) - 5*w(i).\nAnswer: 2*i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 16*p**2 - 12*p - 29. What is k(16)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0087182854 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n - 21. Suppose -7*b = -3*b + 188. Let v = 86 + b. Calculate the lowest common multiple of v and h(-6).\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 399390550?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 + (-5)\/((-5)\/(-1)). Solve 5*t = 4*t - 3, 5*t + v = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l + 27. Let d be (-29)\/l + (-6)\/27. Solve 0*c**d + 1\/4 + 1\/4*c**4 - 1\/2*c**2 + 0*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1296878 and -56\/1165?\nAnswer: 6484390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19378 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (sqrt(125) - (sqrt(125) + sqrt(125) + 3))**2*3.\nAnswer: 90*sqrt(5) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5936310*c**3 - 10393586 with respect to c.\nAnswer: -17808930*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13568614*b**2 + 6*b + 957750.\nAnswer: 27137228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 40*s**2 - 65*s. Let h(o) = -o. Give u(h(v)).\nAnswer: 40*v**2 + 65*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7430 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (344\/1720)\/(-7*7\/10535)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**7)*g\/((g**8*g)\/g*g))\/(g*g*g*g**2)**(1\/72) assuming g is positive.\nAnswer: g**(-1085\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 27 = -4*x. Let f(o) = o**3 + 8*o**2 - 10*o - 6. Let k be f(x). Factor 0*j - j**2 + 0 + 7\/4*j**4 - 3*j**k.\nAnswer: j**2*(j - 2)*(7*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/95)\/(24\/(-960)). Suppose 6 + 4 = 5*o. Do f and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 - 166*u - 109. List the prime factors of w(38).\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -28*a**3 - 22. Let s(g) = -4*g**3 - 3. Calculate 6*q(i) - 44*s(i).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 503.13 - 501. Let x = -1.02 + n. Let q = -0.9 + x. Round q to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.0177\nAnswer: 0.00177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 29*h**5\/20 + 7*h**3\/2 + 29*h + 6. Let r(x) be the first derivative of t(x). What is the second derivative of r(u) wrt u?\nAnswer: 174*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53778967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*c**3 + 38*c**3 + 7*c**2 + 54*c**2.\nAnswer: 2*c**3 + 61*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -c39385 (base 14) in base 16?\nAnswer: -649fe9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4030 and 43\/992.\nAnswer: 64480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -321 at most as big as -519978\/1621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/(-9))\/(14\/(-3))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 10566.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -64434*n + 1933020. Determine m(30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -1\/6*x**3 + x + 0 - 1\/2*x**2 + 1\/12*x**4 + 1\/20*x**5. Factor u(q).\nAnswer: (q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79.5 - -79. Let a = 0.5 - t. What is the closest to a in 7, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 979*c**3 + 48*c**3.\nAnswer: -931*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7842, -77005, -264728, -630291, -1232974, -2132057, -3386820?\n\"Answer: -9880*b**3 - 3*b + 2041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 12}. Give prob of sequence gn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103045 - 31?\nAnswer: -103106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*z - 32 = 0, -3*z + 5 = j - 9. Suppose 0 = -2*m - 78 + j. Let i = -8 - m. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -451.4 - -497. Let t = 103 - 57. Let c = b - t. What is the nearest to 1 in -1\/2, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 3*t**2 - 6*t + 3. Let b(w) = -17*w**3 + w**2 - w. Let g be b(1). Let r = g - -21. What is j(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19957 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 1274 = 14. Calculate the lowest common multiple of 8 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i + 1. Let m be (6\/(-5))\/((-12)\/80). Let j(y) = -3*y + 1. Let o(a) = -34*a + 12. Let q(f) = 12*j(f) - o(f). What is m*q(u) - 3*g(u)?\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or -3485?\nAnswer: -3485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 3*j - 3*j)*(3*j - j - 3*j) + (0 - 2 + 1)*(2*j**2 - j**2 - 3*j**2 + (3*j + 0 + 0)*(j - j - 2*j) + 2*j - 2*j + j**2).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = k + 8, -2199*x - 70*k = -2198*x + 209 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 0*a**4 - a**4)*(4 + 8 + 11).\nAnswer: -92*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 44 = -50 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24304 is divided by 864?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -o - 3*o. Sort 1, o, 5.\nAnswer: 1, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 35*s**5 - 2565*s**4 + 625*s**3 + 7625*s**2 + 2940*s - 1460 = 0.\nAnswer: -1, 2\/7, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 804.28ms in seconds?\nAnswer: 0.80428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3064869\/287 + 10679. Let q = 22115\/1148 - j. Let u = 10979 - 241581\/22. Calculate the common denominator of u and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*v - 794 + 898 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*k + 183 - 362 - 161 = 0. Let o(g) be the second derivative of 0 - 3\/80*g**k + 0*g**4 - 1\/30*g**6 + 0*g**2 - 1\/168*g**7 - 3*g + 0*g**3. Factor o(a).\nAnswer: -a**3*(a + 1)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)\/a)**(9\/2)*(a\/(a*a**(-1\/14)))\/a**(-5)*(a**(2\/5)\/(a*a**(-1\/10)))**(-23) assuming a is positive.\nAnswer: a**(116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 339 - 3?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 292, 533, 762, 973, 1160, 1317, 1438?\n\"Answer: -r**3 + 248*r + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 11761.41?\nAnswer: 199943.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 + 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t = 43*t - 108500. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**2 - 3797*h + 3797. Calculate c(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/60 + v**3\/6 - v**2. Let z = 1 + -1. Let m be x(z). Solve -q + m = 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50945791 to the nearest integer?\nAnswer: 7138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -2*v + n, 5*n - 15 = -5*v. Suppose 4*r - 4 = 8, -v*r = 3*z - 21. Solve -4*i - 2 = -z*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*-2*2 + 5*(sqrt(847) + 2))**2.\nAnswer: 220*sqrt(7) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 4, m: 1}. What is prob of picking 1 m and 1 v?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 720465.5 litres?\nAnswer: 720465500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 1)\/((-3164)\/(-7910))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6632.069 rounded to the nearest 100?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-13 + 18) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4890728357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39788562 and 4774?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-15) - 5\/(100\/56). Let h be 2 + 1 + o + 4. Suppose -h*n + 893 = -1439. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4)*h)\/h*h)\/(h**(-6\/7)\/h)*(h**(1\/3))**(-27))\/((h**0*h**2)\/(h**(-3\/8)*h*h*h*h*h**(1\/5))) assuming h is positive.\nAnswer: h**(-2329\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 5*u + 6 = 23*z, 0 = 5*z + u - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m - 140 = -17*m. Let z be (-2)\/(3\/4*m\/(-6)). What is the closest to -2 in -1\/6, z, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -40*u**2 - 67. Let h(b) = 3*b**2 - 1. Let i(v) = 18*h(v) + 2*p(v). Find the first derivative of i(x) wrt x.\nAnswer: -52*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*f + 21 = i + 72*f, -39 = -4*i + 5*f. Solve 0 = -3*s + 9, -i*u - 5*s + 40 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*o + 4615 = q, 0 = 3*q + 3*o - 2793. Suppose 0 = -4*d + 2866 - q. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9095789 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 13*k - 12 = 4*v, -2*k + 9 = -3*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 7 + 30*y - 53*y + 2*y + 0*y - y + (-6*y + 5*y + 2*y)*(-3 + 3 - 1) - 2 + 2 - y + 0*y - 2*y + 0*y + 4*y + 0*y - 3*y as n + m*y and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/41)*z)\/((z\/(((z*z**16)\/z)\/z))\/z) assuming z is positive.\nAnswer: z**(658\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 16*p**2 + 30*p + 39. Let d be i(-14). What is the greatest common factor of 13 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = r - 78. Let d(g) = 3*g**2 - 13*g - 4. What is the least common multiple of 16 and d(r)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 - 51. Is 44 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 2222?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36.6 + 37. What is the nearest to -1 in -2\/11, -10, q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1584) + -4 - -1*sqrt(1584)*1.\nAnswer: -2 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3))**(-25))**(-35)\/((v\/v**(-3)*v*v)\/(v*v**(-7)*v))**(-1\/11) assuming v is positive.\nAnswer: v**(-1747\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 1 + 22234*q**3 - 22265*q**3 - 9.\nAnswer: -31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -472\/7. Let q = 74 + -68. What is the fourth biggest value in 2\/17, s, -3\/7, q?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -5, -0.9, -47, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63))**2 - sqrt(7)) + 2 + (1 + sqrt(343) - sqrt(343))**2 + (1 + sqrt(7)*2*-4)**2.\nAnswer: -17*sqrt(7) + 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = -3. Let k be 20 + m + (4 - 7). Is 16 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p - 21. Calculate the remainder when o(8) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2522.1911139 from -29.\nAnswer: -2551.1911139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*k - 3 = 0, 10*k = 3*l + 9*k - 6. Suppose l*x + 1 = g - 5, 4 = -2*x - 3*g. Let m(r) = 5*r + 3. Let p(b) = -6*b - 2. What is x*m(a) - 3*p(a)?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*c - 34. Calculate the greatest common divisor of c and 190.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 18446?\nAnswer: 73784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18200 and 3400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8*r - 5. Let d be n(-14). Suppose 2*y - 179 = 5*o, -d - 171 = -3*y - 2*o. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 743*w - 745*w - 3*a = -208, 0 = 4*w - 2*a - 288. Suppose -3*t - 3*g + 135 = 0, g = t - 33 - 18. Calculate the greatest common divisor of w and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 5*n. Let t be a(-5). Suppose v + 8 = 5*y - 17, -5*y + 3*v + 25 = t. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s + 5 - 5. Let m be 15\/(-2)*((-24)\/20 - 0). Let n(f) = 9*f**2 - 9*f + m*f - 11*f**2. Determine r(n(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/12*-3)\/(5\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -450\/7 + 65. Calculate the common denominator of t and (2 - 51\/44)*4.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2990*t**2 + 3892*t wrt t.\nAnswer: -5980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1409196, -2818392, -4227588, -5636784, -7045980, -8455176?\nAnswer: -9864372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71633843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119189 = -627*d - 166214 for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 2*i - 1 + 0*i**3 + i**3 - 3*i**2. Suppose -2*o + 12 = -10. Let m = -13 + o. Determine t(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-7)*623\/(-534)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8424.479mg to micrograms.\nAnswer: 8424479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 4214\/3 + (-118)\/177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 1048915 - 1048510 = 0 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - u - 2, 9*u - 12 = 6*u. Suppose 0 = -4*y - 4, -x*n - 1099 = -7*n + 3*y. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -77418, -309594, -696404, -1237728, -1933446, -2783438, -3787584?\n\"Answer: 20*o**3 - 77437*o**2 - 5*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 1*sqrt(12) - sqrt(12)) + sqrt(3) + ((sqrt(36) - sqrt(576)) + sqrt(36))\/sqrt(12).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/20)\/(108\/(-16)))\/(31\/9).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9894, 19836, 29790, 39762, 49758, 59784?\n\"Answer: u**3 + 9935*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65451453.\nAnswer: 3, 103, 211817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 126\/(-35))*(29 - (-74 - 37)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1026 + 988 + 3 + -6?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 9, -2.\nAnswer: -2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20236978.\nAnswer: 2, 47, 461, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (23542\/4)\/((-1166)\/132 - -9)?\nAnswer: 3, 79, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r + 28*r + 96 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 18*h**2 - 55*h - 11. Let x(i) = i**2 + 5*i - 10. Calculate the remainder when p(13) is divided by x(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13130 (base 11) to base 9\nAnswer: -27685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4518000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s + 2*s**2 + 8 + s**2 + 2*s - 21 + 11. What is g(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - w - 13*w = 12*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 3*n + 4*n + (0 - 3 + 7)*(15*n + 25*n + 19*n) to x + z*n and give z.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.3 from -245.3.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v - 4*v**4 - 11*v + (-3*v + 2*v + 0*v)*(2*v**3 - v**3 + 0*v**3))*(-3*v + 3*v - 2*v).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06675987258 - -25.12?\nAnswer: 25.05324012742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9521 - 9523. What is the nearest to 5 in -2.8, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2057 - 103a?\nAnswer: -3094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21184 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(171) + -3) - -2*sqrt(171)*-1 - (((-3 + sqrt(171)*1)**2 - (sqrt(171) - (-4 + 2*sqrt(171) - sqrt(171))**2 - sqrt(171) - sqrt(171))) + 5).\nAnswer: -390 + 51*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -486193 - -486193. Let w = -5 - -3.3. What is the second biggest value in w, -5, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -237 + 479\/2. Let o = 4.6 - 9.6. Let u = 0.9 + -1.1. Which is the third smallest value? (a) o (b) u (c) y (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -22*x + 7. Let r(d) = -11*d + 3. Give 13*r(p) - 6*w(p).\nAnswer: -11*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/207?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q**4\/5 - 40668*q**3 - 220566546*q**2\/5 + 441743088*q\/5 - 220973208\/5 = 0. Calculate q.\nAnswer: -1054, 1, 34942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*o + 16 = 0, 4*o = 4*s - 3 - 1. Suppose 4*t + 2*a = 4*a - 4, t = -a - 1. Sort t, -2, s in descending order.\nAnswer: s, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1669 - -1015. Suppose -u = -2*t - 2*t - 2*r, 4*r - 671 = -t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 11 + 5 = 0, -3*s - 3 = -2*h + 7 - 2 + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 7 + 1. Solve -5*u = -a - 1 + t, 4*a - 1 = u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(0 - -8)*-4. Let h be o + (4 - (-30)\/(-3)). Let n(m) = -34*m - 16. What is the tens digit of n(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -12. Let q be 15\/l*6\/5. Suppose -q*y + 17 = 3*u - y, y = 4*u - 8. Solve -u*v + 0*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -34*w + 23. Calculate b(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*v - 32296 = 0, v - 48435 = -3*n + 4*v. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -3)*(-2)\/4. Let t = b + 5. Suppose 2*x - 17 = 3*l, -4*l + 13 = t*x - 3*l. Solve -p + 0*p = 3*g - x, 4*g - 16 = 4*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, y: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**38*(w**(1\/4))**(-23) assuming w is positive.\nAnswer: w**(281\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.8 + -2.67. Let i = -0.22 + o. Let f = i - 0.02. What is f rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2345 + 2397. Solve -14*s = -x - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -54*b + 927. What is o(16)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -6.692 (b) 1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/111274 and 73\/18998?\nAnswer: 778918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3013882 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/9 + 3)\/(28\/(-588)). What is the highest common divisor of v and 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14190 - -38790. Round u to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 9:42 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14231.\nAnswer: 7, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91.6 + 10.\nAnswer: 101.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 + 7 - (16 + -15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 6:03 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1660 and 1420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*q**2 - 13*q**2 + 18*q**2 + (0 + 0 - q)*(2*q - 2*q + q) + 28*q**2 - 101*q**2 - 81*q**2 as w + u*q**2 + b*q and give u.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**(-10))\/b)**17 assuming b is positive.\nAnswer: b**(-153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 10. Let s be w(-6). Suppose s*q + 3*r = 6*q - 5, q - 4*r + 2 = 0. Sort q, -1, -6\/11 in increasing order.\nAnswer: -1, -6\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + j + 414 - 115, 1 = j. Calculate the remainder when f is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*i. Suppose 33 = 4*c - 4*f + 1, i = f - 2. Let o(k) = 2*k + 10. Is 10 a factor of o(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 3*f**2 - f - 3. Let s be m(-3). Let q be 7 - 6 - s\/2. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 0 - (18 - -54 - 60) - -60?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/38*((-350)\/1120)\/(5\/(-4)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1847312447.\nAnswer: 1847312447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -4*c + 103 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 7) to base 11\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 6510420?\nAnswer: 6510413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/(-30))\/((-363)\/(-8)))\/((-234)\/(-117)).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6861944, 6861934, 6861924?\nAnswer: 6861914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002101021202 (base 3) in base 14?\nAnswer: -110a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70702*-0.5.\nAnswer: -35351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1550\/33169 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeaekewwwkw. What is prob of sequence wka?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*s = -26229 - 14429 for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183 + -40. Let f be (-92)\/9 - 10\/(-45). Let q(u) = u**2 + 7*u - 6. What is the remainder when w is divided by q(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*i = 7, 0*t - 4*i = -3*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 312, -1608, -5, 4, 5, -4\/3.\nAnswer: -1608, -5, -4\/3, 4, 5, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7140 - 3091. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188 - 176. What is the first derivative of -f*w + w**2 - 23*w - 4*w - 3 - 236 + 0*w**2 wrt w?\nAnswer: 2*w - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260*j**3 + 1240*j**3 - 5582*j + 5589*j.\nAnswer: -20*j**3 + 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - a + 0*a + (a + a - 3*a)*(86 - 386 - 53))*(-4*a - 2*a + 3*a) in the form h + y*a**2 + g*a and give y.\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:59 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34674\/14 - 4\/(-14). Let b = t - 17292\/7. Let j = -1272 - -11393\/9. Find the common denominator of j and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9))\/(44\/(-132))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8951 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*n*p**2 - 75*n*p - n + p**2 + 3*p + 115472 with respect to p.\nAnswer: -28*n*p - 75*n + 2*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -457, -902, -1349, -1798, -2249?\n\"Answer: -d**2 - 442*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62 - 4*p + 36 - 13*p**2 + 60 wrt p?\nAnswer: -26*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2537279 and 1159?\nAnswer: 154774019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2020340486?\nAnswer: 2, 17, 59421779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 - 7*w**2 + 0*w**2 in the form h + v*w + x*w**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 + -6.5. What is the second biggest value in d, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {c: 5, i: 3, l: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 1, t: 1}. Give prob of sequence fn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -43. Let t be (2\/3)\/(12\/882). What is the remainder when y is divided by t\/4 - 3\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - -0.9. Let d = q + 0.1. Which is the second smallest value? (a) 0.2 (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -13*z - 707. Calculate c(-42).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 28, 68, 146, 274?\n\"Answer: 2*i**3 + i**2 - 3*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1822?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.9 (b) 0.4 (c) -0.67 (d) 17 (e) 4 (f) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3666.664.\nAnswer: -3667.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22702999?\nAnswer: 11, 2063909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 0 + 0 + (3 - n**2 - 3)*(0 - n + 0) + (-2*n + 4 - 4)*(3*n**2 + n**2 - n**2).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6, -o - 4*l + 2 = -3*l. Solve 0 = q - o - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*2\/(-12)*-6. Let v(j) = -3 - 132*j**2 + 133*j**2 + s. Let l(w) = -w**2. What is v(l(a))?\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 31 = -5*r, 3*r + 2*r = -4*q + 24. Suppose -3*a + k = -0*a - 1, q = a - 3*k. What are the prime factors of -1 + (23 - -2) + a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, x: 1, b: 1, n: 1, k: 1, t: 2}. Give prob of picking 1 n, 1 j, 1 k, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102 + 11112323021?\nAnswer: 11112321313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 - 4580045*q + 9160086 = 0.\nAnswer: 2, 4580043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27514800, -27514796, -27514792, -27514788, -27514784, -27514780?\nAnswer: -27514776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3643, -7533, -11481, -15517, -19671, -23973, -28453, -33141?\n\"Answer: -5*h**3 + h**2 - 3858*h + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03815635*-34.\nAnswer: 1.2973159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1 + 7*h**2 - 2 - 3 - h**3 + 10*h. Let y be o(8). Solve -2*w = q - 5, -4*w - w - 3*q = -y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2695+-132393957\nAnswer: -132396652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3599 + 3396 - 4*v**2 - 6225 as h*v + f + l*v**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 303607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014935 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -90*n - 16*n**2 - 21 + 17*n**2 + 65*n. What is the remainder when 37 is divided by z(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/27 and 79\/504.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 20*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 - p**3 + 14*p**2 + 6*p**2 in the form n*p + d*p**2 + l*p**3 + v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:43 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-36) - 1568\/(-384)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 2. Let b be (-6)\/(-8)*(2 + 2). Let r be m(b). Solve 4*s + 5*a + 0*a - r = 0, 4*s = -4*a + 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7*x. Suppose -929 - 1199 = -16*z. Let v = 134 - z. What is b(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -246\/5 - -4172\/85. Put -194, 0.4, b in descending order.\nAnswer: 0.4, b, -194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -29. Solve 0 = -k - 4*j + 16, 0 = 5*k + 3*j - 5*j - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40922183 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 g when three letters picked without replacement from {g: 6, z: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.2 - 13.9. Sort y, 4, -2, 0.8 in ascending order.\nAnswer: -2, y, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(102\/36*-3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 10) to base 8\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12491.\nAnswer: 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 + 297*f + 2589. What is n(-38)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/5 - 2*b**3\/5 - 18*b**2\/5 - 22*b\/5 - 8\/5.\nAnswer: 2*(b - 4)*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 24316945.15 to the nearest one hundred thousand.\nAnswer: 24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (270\/24)\/(-15)*(-1 + -7145 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105092 + 8.00503.\nAnswer: 105100.00503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d73386 (base 14) in base 4?\nAnswer: 123232302322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002616183 to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3)\/d*d*d*d**(1\/6)*d*d)\/((d*(d*d**(5\/4)\/d*d)\/d)\/(d*(d\/(d**1\/d))\/d))*((d**(-2)*d)\/d)**13\/((d\/d**(-2))\/(d\/(d*d**(-2\/5)))) assuming d is positive.\nAnswer: d**(-1721\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22359 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(-50 + 50 + 117*y)*(-5*y + 2*y - 3*y + (-1 - 4 + 4)*(3*y + 2*y - 3*y)).\nAnswer: -936*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 5*s**2 - 5*s - 6. Let n be b(6). Let v = 93043\/10 + -9296. Find the common denominator of v and n + ((-164)\/(-7))\/(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 23. Suppose -l*k - k = -95. Solve 3*c = m - 6*m + k, 0 = 2*m - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 2 - 2)*(h - h + h**3) - 958*h**4 + 675*h**4 + 514*h**4 to the form l*h**3 + k*h**2 + y + b*h + u*h**4 and give u.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574 = 10*x - 3*x. Suppose 4*g - 338 = -x. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 4*p**2 - 4*p - 4. Let t be d(5). Let o = t + 0. Suppose 3*w = -f + 2*f - o, 4*f - 3*w = 13. Calculate the greatest common factor of f and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/50449 (b) 3\/2 (c) 2\/19 (d) -0.15 (e) -6 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 27 = 3*h - 4*s, 3*s - 12 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 37766 divided by 18883\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 30*w + 9\/4*w**4 + 0 + 0*w**3 - 3*w**2. Find the first derivative of g(t) wrt t.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 518950886 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 39. Let o = 7.99999822 + f. What is o rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/(-216) + (-5)\/3)*2\/(-10)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 27, 41?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**3\/3 - 4*v**2 + 7*v - 2. Let a be s(7). Suppose a = -2*c - c + 2010. What is c rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84*(-90)\/(-252)*(-56)\/(-40)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420339908 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 966 = -2*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48b13 - -680?\nAnswer: 49593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.242 - -0.042. Which is the closest to 2? (a) 4 (b) f (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*y + 9 = 0, -1 + 28 = 3*l + 3*y. Suppose 4*w - 14 = -a, -65*w + 67*w = 4*a - 20. Solve 0 = -b + 3*d - l, -2*d + 6*d = -w*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 39*j**2 - 20*j - 4. Let u be f(-19). Solve -g = 4*g - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9895*m - 9928*m + 29733*m - 9911*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3465, 14133, 32007, 57081, 89349, 128805?\nAnswer: 175443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5348 and 244287281.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r. Let j = -10 - -10. Let l(g) = j*g**2 - 4*g**2 + 2*g**2. Determine a(l(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 97328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/(4\/(-8)). Let f = q - -21. Suppose -f*o + 136 = -14*o. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0)\/((-168)\/(-168))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 819114 - 819113 + 1638227.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -13*t**2\/2 - 208. Let l(a) = a**2. Give h(l(f)).\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -622485004*o - 591690127?\nAnswer: -622485004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185866, -371748, -557630, -743512?\nAnswer: -929394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/160*(-1)\/7. Let i = p + -3\/35. Let t = -0.3 + 0.5. What is the nearest to -0.1 in -2, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 2*n - 94 + 52.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/((-140)\/25)*(-2)\/30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 7, 21, 31, 31, 15, -23?\n\"Answer: -u**3 + 7*u**2 - 2*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/((-155)\/372). Factor -2\/5*v**4 - l*v**3 + 0*v + 0 - 8\/5*v**2.\nAnswer: -2*v**2*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 3\/2, 72, -2\/3 in decreasing order.\nAnswer: 72, 3\/2, -0.01, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8082014 kilometers to micrometers.\nAnswer: 808201400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/5 - 425504*s\/5 - 2978332\/5.\nAnswer: -4*(s + 7)*(s + 106369)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, o: 1, g: 2, a: 4, p: 1, c: 1}. Give prob of picking 1 o, 1 g, and 1 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -1\/6 (b) 2\/115 (c) 16 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -0.009, 0, -4, 687?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3588 (b) 2\/15 (c) 0.3 (d) 0.2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*n + 60 = 0, 4*z - 787027 = 3*n - 787151 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2. Suppose 0*r + 5*r - 29 = -2*p, p = -r + 13. Let t(a) = -7*a - p*a + 5*a. Determine t(c(l)).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 0 + 2\/5*y**3 + 1636\/5*y**2 + 334562\/5*y = 0.\nAnswer: -409, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1561\nAnswer: 2\/1561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2. Let p(o) = 295*o**2 + 11. Calculate p(m(i)).\nAnswer: 2655*i**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18496.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 106 - 7*a**2 - 7*a**3 - 8*a**2 + 12*a**2 + 5*a**2.\nAnswer: -7*a**3 + 2*a**2 - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 0, 11216891 in decreasing order.\nAnswer: 11216891, 11, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*l - 8, 47*l - 46*l = -2*o - 4. Which is the nearest to 1? (a) 2 (b) o (c) 2\/697\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000854 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-404))\/(84\/(-672))*2\/(-8)\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0046387 decades?\nAnswer: 0.046387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*x**2 + 1163*x + 1399?\nAnswer: -6*x + 1163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000193212 to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 488 - 22. Suppose 79 = -3*g + u. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/6 - 7*t**2\/6 - t\/6 + 7\/6.\nAnswer: (t - 7)*(t - 1)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/24*-4)\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**6\/9 + 4*s**5\/15 - s**4\/2 + 61. Factor h(d).\nAnswer: 2*d**3*(d - 1)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.2 + 9. Let f = -15 - o. Let h = 19 - 73\/4. Which is the second biggest value? (a) 0 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 1, 692, 0.5, -0.03.\nAnswer: -5, -0.1, -0.03, 0.5, 1, 692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5325630 (base 7) to base 16\nAnswer: 9d97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38\/57)\/(3\/18). Let l = -4.7 - -29.7. What is the biggest value in l, s, 2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(33) - sqrt(33))*-1)\/(sqrt(11)*-2*-1*2).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6332348467?\nAnswer: 149, 42498983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -517\/68?\nAnswer: -517\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*32\/20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -18095*d. Let q(p) = 857*p - 1. Calculate z(q(v)).\nAnswer: -15507415*v + 18095","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c - 6. What is the units digit of t(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/38, 96, 3, -475 in increasing order.\nAnswer: -475, 3\/38, 3, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4071402 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3 - 66\/(-55))\/((-1)\/1725)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**2\/2 + 3*p - 337. What is g(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/((-327)\/(-34662)*(-2)\/4).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*f - 11242 + 11242.\nAnswer: -540*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -740*b**3 + 80*b**2 + 1852. Let i(q) = 247*q**3 - 28*q**2 - 617. Let h(a) = -20*i(a) - 7*v(a). Find the first derivative of h(j) wrt j.\nAnswer: 720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7006454 - 18166454. Round y to the nearest one hundred thousand.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-468)\/273*(32340\/(-40))\/21.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49737 and 588.\nAnswer: 9748452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61803243 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m**2 - 4*m + 2. Let u be b(3). Let l be ((-4)\/(-12))\/(u\/(-3)). Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 6 = 0, g = 3*z - 5*z - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 13*s + 16. Let l(a) = 4*a - 14. Let d be l(0). Let m be y(d). Suppose -4*f = -6*f - m*n + 2522, 2*f - n = 2516. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, 5, -4.\nAnswer: -4, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836802833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = x - 5*c + 1, -5*x + 4*c = -44. Suppose 4*v = -o + 14, -3*v + 1 = -3*o - 2. Solve 0*j = o*j + x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4238\/1630)\/((-3)\/30).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -683, -1550, -2765?\nAnswer: -4328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270\/(-81)*1*(-6)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 9) in base 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 0*s + 3*s + (-5*s + 0*s + 3*s)*(-4 - 52 - 6) - 9 + 1 - 2 - 10*s as h*s + v and give h.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o. Let h(s) = 5*s**2 + 3*s - 3. Let f = -2 - -5. Let p(z) = -6 - 2 - 2*z + 14*z**2 + 10*z. Let m(a) = f*p(a) - 8*h(a). Determine j(m(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d = -5*f + 1683, -5*d - 1329 = -4*f. Let o = 372 - f. Solve -2*x - 12 = -0*n + n, 4*n = -5*x - o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13470 - 13465. Solve o*i = -2*k - 10, 45*k - 13 = 2*i + 44*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x + 67. Does 15 divide h(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 57732*t**3 - 1110300960*t**2 - 7099954627328*t + 257040011851776.\nAnswer: -(t - 36)*(t + 19256)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**3\/6 + 4*z**2 - 4*z. Let s be j(8). Sort s, -4, -3 in increasing order.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87101563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -803 = -5*n + 182. Suppose -54 = -o + n. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4352.3 - 0.1.\nAnswer: 4352.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -629\/5 + 125. Which is the closest to 0? (a) 0 (b) 2\/19 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456 divided by 8.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 5940296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-86)\/(-14) + -6 + 2007\/63. Let l be (8\/(-12))\/((-1)\/(-18)). Let q be (y\/l)\/(-8) + 2\/(-6). Solve q*m + 5 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*x - 287*x - 2*m + 662 = 0, -4*x - 2*m = 219 + 19 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (7 - (9 + -11 + 22))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1321885 and 30?\nAnswer: 7931310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4764018 is divided by 4265?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 + 1. Let j(c) = -3*c**2 - 22*c - 5. Calculate the least common multiple of j(-7) and g(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let r(a) = a**p + 2*a - 9 + 2 - 2*a. What is the lowest common multiple of 16 and r(5)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*q - 6, -4*d - 6 = -q - 2*d. Suppose a - 5 = q, -u - u + 4*a = 2. What is the remainder when ((-13)\/2*4)\/(-1) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/98 and 151\/6.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 354615 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -2. Let y(p) = -14*p**2 + 2*p - 6. Let b(h) = h**2 + 1. Let w(m) = c*b(m) + y(m). Suppose 0 = -4*o + 3*o + 1. Calculate w(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - 4. Find the third derivative of -11 + 5*v**z + v**6 + 11 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, v: 1, h: 3, i: 6}. Give prob of sequence ii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h - 3*h)*(-278*h + 99 - 108 + 157*h).\nAnswer: 121*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**2 + 289*v + 30. Let r be l(-32). Sort -1, r, -6, 8 in descending order.\nAnswer: 8, -1, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -711*s + 246. What is the units digit of l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-21))\/(2107\/(-1204)*(-12)\/21). Factor 1\/7*q**2 - 3\/7*q + y.\nAnswer: (q - 2)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134*t = 1125*t - 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120.34 + 120.74. What is the smallest value in y, 410, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -100 + 100 - 19*j**2 + (-4*j + 2*j - 7*j)*(4*j - 4*j + j) + 0*j**2 - j**2 + 2*j**2.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22320 and 17484?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) - 52\/(-87). Suppose 5*t - 4*h - 16 = t, 16 = 3*t - 5*h. Suppose 3*m - t + 8 = 0, 0 = 4*y - 2*m - 8. Is x less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555 = -18*h - 501. What is the highest common factor of h and 2019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/85 (b) 34 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/137174700 and 3\/753116?\nAnswer: 960222900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + 4 + sqrt(171) + 0)*2 - (((sqrt(171)*2)**2 + sqrt(171))*1 + 2 + 5)).\nAnswer: -2061 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(11) + -5 + (-3*sqrt(121))\/sqrt(11) + 3.\nAnswer: -2*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i - 2. Let t be z(-5). Suppose -5*d = -9*d + t. Let q = 16 - d. Put q, 2, -5 in increasing order.\nAnswer: -5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**4\/4 + 795*g. Let l(t) = -t**2 - 3*t**2 - t**2. Determine j(l(z)).\nAnswer: 75*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37478 is divided by 295?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0 - 1 + 2)*((2 - 2 - u**2)*(0*u + 3*u - u) + 5*u**3 + u**3 - 3*u**3 + 8*u**3 + u - u).\nAnswer: -9*u**4 + 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - 76. Let s(j) be the second derivative of -2*j + 1\/15*j**b + 0 + 0*j**2 - 1\/30*j**4. Factor s(l).\nAnswer: -2*l*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/184550125 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -157, 210, -5 in increasing order.\nAnswer: -157, -5, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9972 less than 0.1?\nAnswer: -9971.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 30*i**2 + 15. Calculate u(-3).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 20. Let x = d - 4. Suppose x = -5*g - 37 + 187. Calculate the remainder when g is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 - -103. Which is the third biggest value? (a) -1 (b) u (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -420*o - 100.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48.9 - -0.1. Let y = 17.9 + 28. Let j = y - s. What is j rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 86. Let h be 2\/(-8) - (-395)\/(-20). Let v = -6 - h. What is the highest common factor of c and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 81891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.046 and 43.19?\nAnswer: -1.98674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2010 + -4?\nAnswer: -2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.323 from 6275.\nAnswer: 6275.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 50 (b) 0.3 (c) 0.94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 + 49. Let y = -59\/6 - -263\/24. What is the common denominator of y and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 2*l**2 + 87*l + 180551. Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**7\/14 - 7*z**3\/3 - 21*z**2. Find the first derivative of w(a) wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 1277788*g\/5 + 408185543236\/5.\nAnswer: (g + 638894)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(768)*-1.\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**6\/30 + 211*w**3\/6 - 3447*w**2\/2 - 2*w - 2429. What is the derivative of q(l) wrt l?\nAnswer: 4*l**3 + 211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 982390, 982192, 981996, 981802, 981610?\nAnswer: 981420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2 - 22. Let o be 15\/5*2\/j. Suppose h - 38 - o = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243288 divided by -872.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/23))**(-39)\/(u\/u**19*u**(4\/9)) assuming u is positive.\nAnswer: u**(-4088\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117))\/sqrt(3) + sqrt(4719)*-2)\/((sqrt(48)\/sqrt(2)*-4)\/sqrt(8)).\nAnswer: 21*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 15*p**8\/112 + p**5\/30 - 9*p**3\/2 - p**2 - 21*p. What is the third derivative of h(j) wrt j?\nAnswer: 2700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/18*(-1 + (-3)\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/5, -1\/72, -0.5 in ascending order.\nAnswer: -3, -0.5, -1\/72, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12592 and 25184.\nAnswer: 25184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31333102 + 11?\nAnswer: 31333113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 t when four letters picked without replacement from mwtwwmotwmjr?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*a**2 + 12*a**2 - 19*a + 32*a - 14*a as i + u*a**2 + j*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-12) + (21\/2)\/(-3). Let q be -2 + g + 156\/28. Let t = -0.02 - 1.98. Which is the smallest value? (a) t (b) q (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(25\/2*(-6)\/10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141 - -23012421?\nAnswer: 23011230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = a - 291 - 270, 5*a - 2905 = -5*n. Calculate the greatest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98691789?\nAnswer: 3, 7, 149, 31541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smovc. Give prob of picking 1 s and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -46*f**2 + 9*f + 89*f**2 - 39*f**2. Let z(p) = -p**2 - 2*p. Calculate 6*b(o) + 26*z(o).\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 17 - 7) + 2\/(-1). Solve 8 = l*w - 4*v, 4*v + 0*v + 24 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 + 1. Suppose -18*g + 765 = 909. Let y(n) = -7*n**2 - 7. Let r(h) = -6*h**2 - 8. Let s(x) = 4*r(x) - 5*y(x). Calculate g*p(w) + 3*s(w).\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 6*f - 3*f)*(-3*f**4 + 0*f + 0*f) - 3*f**2 - f**5 + 3*f**2.\nAnswer: 17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 21. Solve 10 = t*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by 42\nAnswer: 208\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - -0.012. Let i = t + -40.112. Round i to 0 dps.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*o, -5*c + 2*o + 8 = 6*o. Suppose -7*b + 4*b = -5*i + 8, -3*b + i - 4 = c. Is 0 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261 and 145.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-234)*1260\/1680.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8312 + 106532 = 3*u. Suppose -9*a = -u - 14933. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 38\/3*n**3 + 0*n**2 - 78\/7*n**7 + 0*n**4 + 0*n**6 - 42 + 0*n + 0*n**5. What is the third derivative of m(l) wrt l?\nAnswer: -9360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 4*y**2 - 5*y - 6. Let v be l(-3). Suppose -4*a + 11*a = v. Suppose 4*b + 1 - 17 = a. Put b, -2, 5 in decreasing order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-2\/3))\/n*n**(-5\/7)*(n\/(n**(-2)\/n))\/n**(2\/7) assuming n is positive.\nAnswer: n**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v + 101*v**2 + 119*v - 103*v**2 - 10*v.\nAnswer: -2*v**2 + 153*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -218*m - 5108. What is f(-24)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + z + 19 = 0, -4*a + 234579*z = 234577*z - 34 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -341 + 333. Let t be ((-56)\/(-20))\/(c\/(-140)). What is the highest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 + 4*o**2 + 3*o - 4. Let q be l(-2). Let x be -1 + (-1)\/((-3)\/(-90)). Let p = q - x. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (1 + 1)) + 0. Let f be 2\/((-8)\/5236) + r + 0. Let o = -408 - f. Round o to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 21*r**2 - 21*r - 17. Let n be a(-20). Solve -5 = -5*m - 5*b, 3*b = 5*m - 0*b + n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 5*f + 2*f)*(-2*f + 7*f - 2*f) + 2*f**2 + 0*f + 0*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**2 + 5*l**2 - 4*l**2 + (0*l**2 + 4*l**2 - 5*l**2)*(-63 - 183 - 28).\nAnswer: 268*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 0*a**2 + 8*a - a**2 + 2 - 13*a - 13*a. Calculate the remainder when h(-16) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + -21 + -2 + 46.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 10*w**2 + 12*w + 12. Let n be k(-11). Suppose -5*p = 31 - n. What is the remainder when 24 is divided by ((-39)\/p)\/(6\/12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10469?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 83 = 2*d, -3*d + 8*d - 218 = 2*v. Let y = 7 - 14. Let n = y + 22. What is the remainder when d is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.113 * 0.087\nAnswer: 0.009831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/279 and 41\/9.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 49770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -258264.624 - -489181?\nAnswer: 230916.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**2 - 4*a - 4. Let k be n(-3). What is the greatest common factor of 10 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*g - 5*w - 44, -4*g + 5*w = -130. Calculate the greatest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i. Let m(k) be the first derivative of 2*k**3\/3 - 32. Give m(d(w)).\nAnswer: 98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -237, -251, -265?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*j - 0 - 11, 4*j = 2*x + 2. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*1 - -23*161\/(-529). Let w(k) = k**2 - 190*k + 11. Let f(c) = -38*c + 2. Calculate j*f(y) + 2*w(y).\nAnswer: 2*y**2 + 38*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 93 = 4*q + 2*l, -2*q + 3*l = -41. Suppose -8*j = -7*j - 15. Let d = j - 7. What is the remainder when q is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 185175 - 185217 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 598424\/1545 - -2\/515. Let y = -386 + i. Find l, given that -2\/3*l**2 + y + 2\/3*l = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747457.7 months in centuries?\nAnswer: 1456.21475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 91 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 11\/6363 (c) -0.4 (d) -1\/92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 11:24 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 776, 133, -504, -1135, -1760?\nAnswer: -2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 306280195 a multiple of 1011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8066182 decades to years.\nAnswer: 8.066182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 36*c + 22. Let a(n) be the second derivative of -5*n**3\/6 - 3*n**2\/2 - 12*n + 10. Let q = 55 - 162. Let o = q + 63. Calculate o*a(h) - 6*x(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:55 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 13*n - 8*n - 4*u, 0 = -3*u - 15. Suppose -2*m**2 + 0 + 1\/2*m**n + 2*m = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = s - 658, 0 = 5*h + 33 - 8. Suppose s = 6*w - 9. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 983158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbpqswqp. What is prob of picking 1 n, 1 s, and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.18126 rounded to one dp?\nAnswer: 444.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 11. Suppose n - 17 = -a. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1010925 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -481 - -208. Let k = r + 436. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5\/3. Suppose 2*z + 4*a = -22, 0 = -2*z + 2*a - 0*a + 2. Put 4, z, x in descending order.\nAnswer: 4, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241535366 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11602, -4684, 2234, 9152?\n\"Answer: 6918*u - 18520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 1606.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -10, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjfwo. What is prob of sequence yyjw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*h = 150 - 558 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033321223 (base 4) to base 14.\nAnswer: 873ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, 42, 4, 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)\/o*(o*o\/(o**3*o*o)*o)\/o)\/(o**(-2)*o**4))\/((o**(2\/3)*o)**(2\/93))**(5\/7) assuming o is positive.\nAnswer: o**(-21533\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -362 + 378. What is the lowest common multiple of (-36)\/(-15) + 4\/(-10) and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from zzzzezfezczzfc.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*x = 3*x + 60, 5 = -t + 2*x. Let m = 21 + t. Let k(o) = o**3 - 5*o**2 - 3*o - 8. Let b be k(m). Solve -5*u - b = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 68*c**2 - 66*c + 60. Let d be a(-67). Let j(q) = 4 - 2 - 4*q - 11*q + 2. List the prime factors of j(d).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 533 + -1065\/2. Sort i, -2, 2\/27, -3 in descending order.\nAnswer: i, 2\/27, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 - 0.1. Let o = -1.2 - -0.2. Let l = o - -1.4. Sort -3, g, l.\nAnswer: -3, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -120? (a) 0.6 (b) 5 (c) 18.6 (d) 9 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 19*f**2 + 10*f**2 - 2*f. Let o(a) = 2*a. What is o(w(h))?\nAnswer: -14*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -381*w. Let l(y) = -5*y**2 - 7*y - 7. Let a(o) = 4*o**2 + 6*o + 6. Let m(s) = 7*a(s) + 6*l(s). What is m(x(g))?\nAnswer: -290322*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 2*t**3 - 6*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -44*j. Let t be b(-3). Let h = 7 + -6. Let w be 140\/12 - h\/(-3). What is the highest common factor of t and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -688623*g. Let u(m) = 3*m. What is u(q(w))?\nAnswer: -2065869*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p - 1\/18*p**3 + 1\/30*p**5 - 4\/3*p**2 - 101 + 1\/6*p**4. Suppose g(l) = 0. What is l?\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhbrbhhbhhhhbrrh. Give prob of sequence bhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/53484789 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 z, and 1 n when three letters picked without replacement from {j: 2, o: 1, h: 3, n: 1, z: 3, b: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10*a - 186. Let y be x(25). Suppose 0 = -m - 2*m + 480. Calculate the greatest common divisor of y and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, k: 5, z: 1, e: 3, g: 3, w: 1}. What is prob of sequence pzge?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.9. Let k be 1 + (-1)\/(-3 + 0). What is the second smallest value in -1\/8, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2*p + 4, -93 = 5*p - 98 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 6*f - 4*f)*((0 + 2 + 1)*(1 + 1 - 4) - 5 - 1 + 4 - 4 + 0 - 2)*(3*f - 3*f + f).\nAnswer: -70*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10296*c**2 - 20351266*c + 20351266*c)*(2 - 3 - 1).\nAnswer: 20592*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 16.4, 5, -18, -9, -2\/17, 0.3, 11\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 6*o**2 + 898*o - 7*o**2 - 898*o.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201 equal to 2512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6897 = 7*q - 207*q - 9*q for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182*k*q - 181*k - q**2 - 3 with respect to q.\nAnswer: 182*k - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 7 = -4*l - 13, 3*l + p + 10 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-2)\/4*10. Suppose 0 = -o*y + 2*y - 18. Let j = 1756.16 - 1751.16. Which is the third biggest value? (a) 0.3 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -61. Solve 5*w = -b*g + 5, 10 = 2*g + 4*w + w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofoooooooopopfff. Give prob of picking 1 f, 1 p, and 2 o.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*y**4 - 14*y**4 + 18*y**4 + (81 - 81 - 2*y**3)*(-4*y + 4*y + 2*y) + 6*y**4 + 0*y**4 - 5*y**4.\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6 - -2)\/(-8))\/(975\/(-70) + 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79 - (4 + -19 + 20)) + (-2 - -1).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024466532 to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -7*x**4\/4 + 4*x**3 + 2*x**2 + 13. Factor n(b).\nAnswer: -b*(b - 2)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484831 is divided by 872.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 147479462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18566 - -25732477\/1386. Find the common denominator of o and 43\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6985, -6996, -6995, -6988, -6981, -6980, -6991?\n\"Answer: -s**3 + 12*s**2 - 40*s - 6956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -2.6 (b) -1 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273206 is divided by 98.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -490*y + 420 - 1627 - 3058*y wrt y?\nAnswer: -3548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**2. Suppose -91*v - 105 = -96*v. Let g(z) = -v + 21 + 3*z**2. What is g(u(o))?\nAnswer: 108*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3075*z - 90 + 90 - 2592*z.\nAnswer: 483*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 1:46 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 1 = 3*p, -84*p + 85*p = 2*t + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-4))\/2)\/(2*4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 198477622 to the power of 1\/2, to the nearest integer?\nAnswer: 14088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1408 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 288, 0.02, -0.142, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -345544, -345531, -345506, -345463, -345396, -345299, -345166?\n\"Answer: l**3 + 6*l - 345551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*r - 25, -3*v + 2*r + 23 = -13. Suppose 2*s - v = -2. Let k(p) = 3. Let u(g) = -g - 3. Let b(l) = 3*k(l) + 2*u(l). Calculate b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214\/3 - -72. Let q be 3\/(-2)*(3 - 5). Let i = 14 + -17. What is the nearest to u in -1\/3, q, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10281 - -10283. Let i = -3 + 2. Which is the nearest to -1\/7? (a) -2\/31 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*d - 15 = -3*d, -5*b + 12 = 4*d. Suppose b*f - 7*f = -4270. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/((-8)\/(-112)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/1160 - 1\/58. Is 4\/11 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640787744?\nAnswer: 2, 113, 177209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 8536275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/7))**17 assuming b is positive.\nAnswer: b**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 1 - 11)*(0 - 2 + 1)*(0*s + 5*s - 2*s) to the form q + z*s and give z.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/313 in -6, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 10*n**2 + n + 14. Suppose 4 + 6 = -y. What are the prime factors of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 + -1c5d0?\nAnswer: -1c645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11808178?\nAnswer: 2, 5904089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31490 - 30902. Which is smaller: -10 or w?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -21*h**3 - 2*h**2 - 7*h. Let b(c) = c**3 + c**2 + 2*c. Calculate -2*b(s) - q(s).\nAnswer: 19*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*j = -j, 5*k = j + 16. Let b(x) = -6*x**2 + 1. Let h be b(1). Let o = -4 + 4. Sort o, k, h in decreasing order.\nAnswer: k, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*j**2 - 3 - 1 - 5 - 3 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2 - 0)*(8 - 185\/25)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 21*y - 8*y**3 + 6*y**3 - 19*y. Let i(s) = -s**3 + s. Let z(h) = 6*f(h) - 13*i(h). Let m(k) = -2*k**3 - k**2 + 2*k. Determine 2*m(w) + 3*z(w).\nAnswer: -w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = 21*o - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -0*t + q, 0 = 3*t - q - 14. Solve -3*r = -9 - t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + (-20)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110010111001111110001000 + 101?\nAnswer: 110110010111001111110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/63 - 172\/(-14). Suppose 18 = -o + 5*i, -5*o - 2*i + 6 = -p. Which is the nearest to 4\/3? (a) o (b) 5\/6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or 596?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = -q + 2*d + d, 2*q + 2*d = -1290. Let r = q - -651. Solve r = 2*a + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -15. Let n = x - 4.3. Which is the smallest value? (a) 6\/5 (b) -10 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*o - 2*o. Suppose o*c - 3 - 3 = 0. Let b(x) = 4*x**2 - x - 2. List the prime factors of b(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 12*c**2 - 11*c - 19. Let m be n(13). Suppose -2*f + m*f + 295 = 0. Let v = -33 - f. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4, -0.42?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31\/3 - 11. Suppose -58*q = 19*q - 539. Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -16*s**2 - 2583*s - 12623. Calculate l(-5).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5116.48881 and 121.\nAnswer: -4995.48881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 16 = 2*q. Let v(f) = -f. Let l(r) = r - 3. Let b(p) = l(p) + 2*v(p). Determine b(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 - -5)*(-4)\/30*6. Suppose x*g = 150001216 + 60398784. What is g rounded to the nearest one million?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + 7. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 12\/4 - (-12 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s + 181*s + 6*s + 6201 = 0 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1134 + 478.5. Round z to the nearest ten.\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:41 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:58 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let s = 69.52 - 72. Let z = -28.52 + s. Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 3678?\nAnswer: 47814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -123 in 0, -0.26, 3?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = -32*c + 722 - 42 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 - 134.8. Let i = o + 4.8. Let h = i - -18.99999915. What is h rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.135*-2.15\nAnswer: -0.29025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 115*i**3 - 4*i**2 + 25*i - 24. Is b(3) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 27*j**2 + 864*j + 2430. Determine k(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 196*k - 2. Let n(v) = 193*v - 2. Give 5*l(f) - 6*n(f).\nAnswer: -178*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843602?\nAnswer: 2, 421801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-15 + -3 - -31).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57479 divided by 1?\nAnswer: -57479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -2. Let w = -0.1 - u. Let q = 0.3 - 0. Which is the closest to w? (a) -0.2 (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*s - 20 - 15, v + 20 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 20030000 to the nearest 100000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 3*i, 0 = -2*i + c - 0*c - 1. Let g be (40\/(-80))\/((-2)\/((-56)\/(-2))). Suppose -2*a + g = i. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) -3 (b) -0.2 (c) 2.96 (d) 7\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 17 + 15. Let i be 1\/j*-2 + -6. Let q = i - 6. Let g(x) = -x**3 - 10*x**2 + 11*x - 4. Give g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 10. Give r(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35644?\nAnswer: 2, 7, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 9)*(4*z**4 - 3*z**4 - 3*z**4) + (0 - 2*z**2 + 0)*(-2*z**2 + 0 + 0) - 43 + 43 - 2*z**4.\nAnswer: 14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i + 3*i - 5*i)*(-2*i - 2*i + 3*i) + 5*i**2 - 4*i**2 + 0*i**2)*(9*i + i - 132 - 9*i).\nAnswer: 3*i**3 - 396*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170 + 262. Let d = -551\/6 + q. Let b = -4 - -3. What is the closest to b in -1, -0.1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**3 - 3*d**2 + 5*d. Let a(w) be the first derivative of w**4\/2 - w**3\/3 + w**2 - 9. Calculate -5*a(i) + 2*b(i).\nAnswer: -2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d**2. Let b(c) = -3*c. Let h(t) = -7*t. Let u be (-3)\/(-2) + 26\/(-4). Let f(w) = u*b(w) + 2*h(w). Give f(v(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -13.366396.\nAnswer: -7.366396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 - 5 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = -7. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-104)\/40 - 2\/5. Let y(r) = r**3 + r + r**2 - r. Let m be y(f). Calculate the highest common factor of 6 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*a**2 + 199466*a - 52332350 wrt a?\nAnswer: -16*a + 199466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 557*h**4\/4 + 2*h**3\/3 - h**2 + 227*h + 1321. Find the second derivative of t(j) wrt j.\nAnswer: 3342*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*v - 9*v + 135 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 54*v**2 - 3*v + 4. List the prime factors of h(1).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2671850 by -534370.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 294283 = 20*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36617 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5799 + -57909\/10. Let s be 2\/4*(-24)\/6. Find the common denominator of ((-61)\/(-12))\/(3\/s) and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 4*q, -5*q + 11 = -3*b + 6. Solve 3*d + 20 = 5, -4*z + 5*d + b = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 52*y - 212. Let i be c(-49). Round i to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 9:12 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/57)*d*d\/(d\/(d*d**6))*d*d*((d\/(d\/(d\/(d*d**(4\/15)))))\/d)\/(d\/d**(-1\/33)) assuming d is positive.\nAnswer: d**(8013\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 73*a**2 - 4\/3*a**3 - 47*a - 1\/6*a**4 - 2. Differentiate q(u) wrt u.\nAnswer: -4*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, 16, 87, 232, 475, 840, 1351, 2032?\n\"Answer: 4*g**3 + g**2 - 10*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14689 (base 11) to base 7\nAnswer: -114415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(28))**2 - (sqrt(275) + sqrt(275) + 0 + sqrt(275)) - 6*(sqrt(165)\/sqrt(5) - sqrt(33))\/sqrt(3).\nAnswer: -15*sqrt(11) + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(sqrt(396)*1 + 3 - (1*sqrt(396) - sqrt(396))*-1))**2 + -3.\nAnswer: 576*sqrt(11) + 6477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*w + 3*w - 26, p = -3*w + 2. Calculate the least common multiple of w and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 2*m**2 + m + 1. Suppose -2*w + 1 = 3. Let f be n(w). Let x = f + 2. Which is the smallest value? (a) x (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 42*n + 40. Let f be h(-30). Calculate the highest common divisor of 32 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a kilogram in grams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/6 + 7*p**3 + 98*p**2 + 1715*p\/3 + 2401\/2.\nAnswer: (p + 7)**3*(p + 21)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*d**2*g - 7*d**2*p**3 - 4*d*g*p**3 + 22*d*g wrt p.\nAnswer: -21*d**2*p**2 - 12*d*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.3. Let v(w) = -7 + 4*w - 3*w - 3*w**2 + w**3 - 3*w**2. Let a be v(6). What is the third smallest value in x, a, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -55 and 4.12666361.\nAnswer: -50.87333639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**7\/280 + 17*x**6\/960 - 3*x**5\/160 - 17*x**4\/192 + x**3\/16 - 11*x**2. Determine n, given that v(n) = 0.\nAnswer: -3, -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2\/11 (c) -0.1499\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - (6 + -1 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -31.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 49*k**3 + k**2 - 2*k + 9. Let o be a(2). Let r = 491 - o. What is the lowest common multiple of r and 14?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*a + 6. Let d = a - 6. Let j = 15 - d. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 46 + 56 = 0. Suppose p*y = -835 + 2945. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, -323, -4 in descending order.\nAnswer: 1, -4, -10, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 151644 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77210920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -12*t**2 - t - 1. Let l(p) be the second derivative of p**4 + p**3\/6 + p**2\/2 - 4*p. Let s(r) = -3*a(r) - 2*l(r). Calculate s(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 4, 2, 1 in decreasing order.\nAnswer: 74, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 92444267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 + 81*z**4 + 543*z**3 - 1161*z**2 - 13506*z + 14040 = 0. Calculate z.\nAnswer: -13, -10, -9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**4 - 68*w**3 - 69*w**2 + 925*w - 82 wrt w?\nAnswer: 24*w**2 - 408*w - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/45)\/(47\/(-141)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0059091114 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 3\/4*i**4 - 7\/3*i**3 + 2 + i**2 + 4*i. Is f(3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -11, -22, -37, -56, -79?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 289, 418, 539?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 75831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -10)*26\/(-3). Let u = n + 40. Find the third derivative of 3*m**4 - 6*m**2 - u*m**4 - m**4 wrt m.\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6*i**2 - 10*i - 5. What is the smallest common multiple of h(-7) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15197428 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 278799.\nAnswer: 5854779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -126231*a + 1262322. Determine y(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 81.3998 kilograms?\nAnswer: 81399800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = 5. Let z(k) = -2*k + 7. What is the remainder when 32 is divided by z(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = -6. Let n(s) = 2*s**3 - 16*s**2 + 25*s - 4. Let r(j) = j**3 - 8*j**2 + 12*j - 2. Let q(t) = 4*n(t) - 9*r(t). What is the tens digit of q(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -13*p - 28. Let o be h(-3). Let s = 2 + 3. Suppose -3*g = s*c - 12 - 31, 0 = -g - 5*c + 21. Calculate the greatest common factor of o and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724 + 39328*t**3 - 577 - 39323*t**3.\nAnswer: 5*t**3 - 1301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 3:40 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 6*d + 2. Let c be f(5). Let u(s) = 5337*s**2 - 4. Let g be u(c). Let v = 89029 - g. What is v rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 82.70632 days?\nAnswer: 7145826048000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150453 (base 14) to base 10.\nAnswer: 730761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/931 and 27\/5?\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 2417*z**4\/12 - z**3\/6 - 3*z**2\/2 + 51*z. Is w(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from omofootofbbfymoooo?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5415 and 570?\nAnswer: 10830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -37. Let i be ((-15)\/20)\/((-1)\/l). Find the third derivative of -20*r**i - 49*r**5 + 49*r**5 - 8*r**2 wrt r.\nAnswer: -2400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77 or -1284\/17?\nAnswer: -1284\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2.076834ns?\nAnswer: 0.002076834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-3)\/(-1) - -1*1. Suppose -5*p - 246 + 266 = s. Solve b + 24 = -p*u, b = 5*b - u + 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -943.306 - 4772593?\nAnswer: -4773536.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 21*b**3 - 2*b. Let q(j) = 497*j**3 - 63*j + 7. Let z(k) = 496*k**3 - 65*k + 8. Let l(g) = 8*q(g) - 7*z(g). Calculate 2*l(c) - 49*u(c).\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmszmfozooz. What is prob of sequence mk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkklinvnnknkknknnqvn. What is prob of sequence il?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2588.3 + -2336. Let w = 252 - f. What is the fourth smallest value in -0.04, w, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*j + 78*j - 8930 = 174*j for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 33, 22, -87 in descending order.\nAnswer: 33, 22, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34\/79 (b) 139 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -176\nAnswer: -31\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.125 - -40.775. Let p = a + -40.4. Let i = 0.1 - 0.6. What is the nearest to 0.1 in i, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 1, i: 3, b: 6, w: 1, z: 1}. What is prob of sequence wbbz?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95297357\/7 or 13613907?\nAnswer: 13613907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -571?\nAnswer: 5\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12950*f - 2. Let m(v) = -20*v**2. Determine c(m(h)).\nAnswer: -259000*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.06, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -359 + 432. Suppose -x*d = -75*d + 1470. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2120 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l + 15, -4*o = -4*l - 1016. List the prime factors of o.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/11*-1)\/(20 - 16). Let z = -1.6 + 2. What is the fourth smallest value in z, -1\/7, -2\/9, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110505 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 + 3*l - 3*l)*(4 - 4 - 1) - 5*l**2 - l**2 - 6*l**2 - 8 - 2*l + 8 + 2*l**2 as o + d*l**2 + t*l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -148, -2.\nAnswer: -148, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85650273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27349 by -27349.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 244497413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2, -2*x = -5*r + r - 6. Solve -8 = -3*v - 5*a + 7, 0 = -x*v - 4*a + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313627.\nAnswer: 31, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 + -3.868350486\nAnswer: -9.268350486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlb when three letters picked without replacement from {v: 6, l: 3, u: 4, b: 6}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 19.2. Let h = g + -19.3. Which is the second biggest value? (a) 0.4 (b) h (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68265.27 and 8?\nAnswer: -546122.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u. Let p(t) = -12 + 2*t - 104 - 195. What is l(p(s))?\nAnswer: 8*s - 1244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75719434 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 699393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/20 - 7*q**4\/12 - 7*q**3\/3 - 7*q**2 + 3519*q. Determine f(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15 - -0.12. Let s = -0.06 - -0.06. Is j smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131008 or 1441100\/11?\nAnswer: 1441100\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-20))\/(141\/(-1128)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l + 3. Let y be z(-4). Let k = -19 + y. Let n = k - 5. Solve 0 = -c - 1 + n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1522 rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 53. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let f(b) = -6*b + 3. Let j(c) = 35*c - 17. Let w(p) = 34*f(p) + 6*j(p). Let r(q) = -11*v(q) + 6*w(q). What is r(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oocfjooj. What is prob of picking 2 j, 1 o, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/3 + 5257176\/(-74394)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m. Let l be (-2 + m + 0)*-2. Let s(r) = l*r - 6 - 3*r - 4. What is s(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 16) to base 9\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.273 take away 0.15454526905?\nAnswer: -0.42754526905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6144634513?\nAnswer: 17, 479, 617, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 9*k**2 - 6*k + 5. Let m be h(-4). Calculate the greatest common factor of 2977 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-1 + (-12)\/(-3). Solve f = 4*q + 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -9*z - 4. Suppose 9*p - 4*p = -215. Let w = 50 + p. What is the remainder when w is divided by q(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + u - 1. Let y be n(-2). Suppose 71 = 5*r + 4*h, -4*h = y*r - 2*h - 73. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*h**4 + 206*h + 4761 wrt h?\nAnswer: 96*h**3 + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.37, -49, 0.1, 275?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 3\/5, 1\/3, 1\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 14 = -4*o. Suppose o*r - 29 = 3. Let d = r + 12. Calculate the highest common divisor of 60 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429504.647 rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8059 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2\/3 (c) -4 (d) -6 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 15.09. Let z(k) = 6*k**2 + 27*k + 15. Let x be z(-4). Let w be (108\/(-120)*(-25)\/x)\/(-3). Which is the second biggest value? (a) d (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/11 (b) 0.4 (c) 2\/11 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 1. Let u be o(-1). Let d = -80442 - -966049\/12. Let n = d - 251\/4. Is n >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -13*l**2 + 5*l - 5. Let h(t) = -t**3 - 7*t**2 - 10*t + 3. Let s be h(-4). Let q(a) = 6*a**2 - 2*a + 2. Calculate s*q(j) - 2*k(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**3 - 4*o**2 - 4*o + 7. Let d(w) = -w**3 + w - 1. Let t(l) = 35*d(l) + 5*r(l). Factor t(h).\nAnswer: 5*h*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192718130767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*q + 4 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.26587 decades in months?\nAnswer: 5191.9044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iooio. Give prob of sequence oi.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 562*a - 568*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 15. Let j be q(0). What is the remainder when (-7)\/(84\/(-80))*j is divided by 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10972 (base 16) to base 2\nAnswer: -10000100101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75029*h - 11*h**3 + 75029*h.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -1\/24*s**4 + 0*s - 1\/70*s**7 + 0*s**6 + 3*s**2 + 0*s**5 + 0*s**3 + 0. Find the second derivative of f(c) wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1614*s - 6024*s + 1640*s - 6715 + 24709 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -8130401.\nAnswer: -2\/8130401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, t: 2, d: 3, r: 3, b: 4, i: 4}. Give prob of sequence tyy.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327282.\nAnswer: 2, 3, 54547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*p**3*y**2 - 1000*p**2*y**3 + 176*p**2*y - 32*p*y**3 + 73*p + 4*y**3 - 2*y**2 + 2*y wrt p.\nAnswer: -60*p*y**2 - 2000*y**3 + 352*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -769 - 769 + 3056 - 771 - 3*r**3 - 747 - r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27464170001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbbnbnltbnjntbn. What is prob of picking 2 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = -9. Let x(k) be the third derivative of 0 - 1\/120*k**6 + 0*k**b - 1\/24*k**4 + 0*k + k**2 + 0*k**5. Find the second derivative of x(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 11286497 + n - 11286497.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q + 83. What is the hundreds digit of l(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(1 + -3 + 1). Suppose -l*u = u. Suppose 16*h + 6*h - 22 = 0. Which is the closest to -0.1? (a) u (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 9 - 19*d**2 - 8 + 86*d**2.\nAnswer: 67*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 70936.63 kilometers?\nAnswer: 70936630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12546826, -25093647, -37640468, -50187289?\nAnswer: -62734110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**5 - 50*t**4 + 88*t**3 + 2816*t**2 + 6144*t = 0?\nAnswer: -4, -3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -13 + 189. Suppose 0 = b - 3*b + y - 79, -b + 2*y = 47. Let s = d - b. Is -8 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i = -48*i + 30. Calculate the lowest common multiple of 12 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131950 divided by -26390?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13779.\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*a - 6*a + 3*a)*(0 - 5 + 3) + 4*a + 5*a - 2*a)*(0 - 3 - 2) to the form x*a + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2 + y**2 + 2. Suppose 0 = 6*x - x - 30. Suppose -2*p = x - 8. Calculate w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0058 and 23186607863.\nAnswer: 23186607863.0058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1962 and 2.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -184, -364, -606, -904?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/396 and (-5444)\/(-1936) + 29 + -32?\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -2*k**4\/9 + 2*k**3 - 38*k**2\/9 + 10*k\/3 + 672. Find y such that a(y) = 0.\nAnswer: 3\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (9 - 47) - -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 0*p + 19 = -p - 788*m + 785*m, 21 = -5*p - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhigi. What is prob of picking 1 i and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/((-10)\/(-1590)). Let m = h - -213. Calculate the remainder when m is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + 3054\/(-24))*88\/(-33). Solve 319*n = f*n + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 4*m - 126. Let s be 3\/(-3 - m\/(-16)). Let c(g) = -g**3 - 8*g**2 - 2*g - 7. What is the units digit of c(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-12) - 9\/(-4). Factor -3*u**4 - 6*u + l*u**4 + 9*u**2 - 2*u**4.\nAnswer: -3*u*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 8*n**2 + 2*n - 11. What is d(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (9 - 14) - 23.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 629 + -3144\/5. Which is the fourth biggest value? (a) -2\/19 (b) l (c) -1.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 30*r + 29. Let v be l(-16). Sort -1, 4, 1, v in descending order.\nAnswer: 4, 1, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a - 58. Let q be g(-6). Solve 2*t + 2*t + 6 = m, 0 = q*m + 2*t - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097027103?\nAnswer: 3, 365675701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*10\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13532 - 13454. Solve 88*f = c*f - 60 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5955, -6040, -6177, -6396, -6727, -7200, -7845?\n\"Answer: -5*o**3 + 4*o**2 - 62*o - 5892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.0558895.\nAnswer: -0.00558895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 2*c - 2. Let v be w(1). Suppose 0 = 4*x - t - 614, -v*x - 2*t = 2*t - 298. What is the highest common factor of 102 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145\/(-345) + (-44)\/(-506)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/7*(-12 + 5). Suppose -3*l + 4 = -2*l. Suppose -20 = l*p, -3*w - 3*p - 6 = -2*w. Which is greater: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + 9*a + 8. Let m be r(7). Suppose m = 2*x - 0*x. What is x rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2741 = -4*p + 3*i + 1115, 4*i = 0. Calculate the lowest common multiple of p and 14.\nAnswer: 6748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 19, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5162407642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-40)\/(-32) + -4. Sort 16, -0.4, u, -4, -0.12 in decreasing order.\nAnswer: 16, u, -0.12, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, l: 5, d: 3, q: 6}. Give prob of sequence pl.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.369939ml?\nAnswer: 0.007369939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4359.944 milligrams in micrograms?\nAnswer: 4359944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 3101 - 5876 + 2775 - 2*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 147 = -5*s + s, 0 = 3*o + 3*s - 87. Suppose -16*x + o = -15*x. List the prime factors of x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7*f = -68. Let t = f + 6. Suppose -5*i = -5*o - t, -2*i + 4*o = -0 - 6. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*i**3 - 194 + 90*i**3 + 42*i**3 + 13*i - 13*i wrt i.\nAnswer: 495*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -740096\/43 greater than or equal to -17211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(1633\/23 - 118).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68227788 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 32982?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-39) - (-2661)\/9. Let a = y - -1805. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6*g = -8, 47 = -3*n + 2*g. Suppose 2*r - 28 = r. Let y = r + n. 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 the closest to -88 in 2, -6, -3895, -0.5, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -36. Suppose -5*s - x*i = -i - 272275, 4*s = 5*i + 217820. Let u = s + -17455. Round u to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**4 + 5*i**4 - 4*i**4 + (0*i**3 + 0*i**3 + 2*i**3)*(-43 + 88*i + 43) + 7*i**2 - 7*i**2 + i**4.\nAnswer: 174*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -103*v**7\/42 + 47*v**4\/12 + 17*v - 74. Let p(q) be the first derivative of o(q). What is the third derivative of p(d) wrt d?\nAnswer: -6180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10723490439.7 + -23?\nAnswer: -10723490462.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3 + 24 = 2*d, -12 = d + 3*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5320*r - 5323*r + 129*r**2 + 42*r**2 as g*r**2 + l*r + d and give g.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 67, 94, 119, 142, 163, 182?\n\"Answer: -a**2 + 32*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 841*a - 1540. Determine d(0).\nAnswer: -1540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167 - 167. Let c(p) be the third derivative of -1\/12*p**4 + 0*p**3 + 2*p**2 + 0 + l*p. Let u(s) = -5*s. Give c(u(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 135*b**3 - 147*b + 290. Determine g(2).\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -291 + 287. Sort q, 19, 2.\nAnswer: q, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6817 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: Are -59\/4 and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21101 (base 3) to base 5\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26433 (base 7) to base 9\nAnswer: -10636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 3:27 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x*x*x*(x\/(x*x\/x**(2\/13)))\/x)\/x))*x**(-3\/2)*x)\/(((x\/((x*x*x\/((x*x**(-12)*x*x*x)\/x))\/x))\/x)\/x*x)**48 assuming x is positive.\nAnswer: x**(13719\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/(2\/4). Let z(h) = -4*h - 6. Suppose 12*g - 4*g - 16 = 0. Let p(r) = -5 - 2 + r + 10 - g. Determine l*z(x) + 6*p(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/143, -1, -1\/5, -0.3?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -401, 4, -4, -3 in decreasing order.\nAnswer: 4, -3, -4, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:27 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/99 and -145\/612.\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**3 + 14*a**2 - 51*a - 49. Let b(p) = 3*p**3 - 9*p**2 + 34*p + 33. Let c(m) = -7*b(m) - 5*q(m). List the prime factors of c(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -3. Let l = t - 10. Let o be 2\/((2\/(-1))\/1). What is the second smallest value in -0.4, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*i + 71*i + 468 = 2*s, -4*i - 1166 = -5*s. What are the prime factors of s?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -949, -1861, -2783, -3721, -4681?\nAnswer: -5669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 57135.47 hours?\nAnswer: 205687692000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + h + 715 = 0, -530 = -3*c + 2*h - 0*h. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1921?\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/179 < 1226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12333*r + 77*r**2 + 85*r**2 - 12332*r + 70*r**2 - 2 - 68*r**2 + 3*r**3 in the form v + y*r**2 + c*r**3 + b*r and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -289, -1091, -2415, -4255, -6605, -9459?\n\"Answer: y**3 - 267*y**2 - 8*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -4, -48, 0 in ascending order.\nAnswer: -48, -5, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6618338g in nanograms?\nAnswer: 661833800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Suppose -3*p - o = 3*d - 13, -4*d = 3*p - 17. Are -2\/3 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1482 = -4*y + 2*u, -1488 = -4*y - 2*u. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/8)\/(s\/s**(-8))*s**(-3\/10)*(s*s**(-5\/6))\/s assuming s is positive.\nAnswer: s**(-1171\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 3*f - 8, 0 = 2*v - f - 30 + 35 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/15*-1*3\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229 - -224. Let w(q) = -22*q + 22. Let o = 575 - 336. Let r(a) = -5 - 2 - 2 - 230*a + o*a. Calculate k*w(l) - 12*r(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 39 = y + 18, -n + 4*y - 24 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-3552)*(-8)\/(-10)*((-120)\/9)\/8?\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-12 - (-6 + 6 - 7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 1 - -156) + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*r + 27499*r - 37 + 37 in the form o*r + u and give o.\nAnswer: 27452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18351 is divided by 9146?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/58001 or 0?\nAnswer: 1\/58001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960\/560*(3\/(-21)*2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 474. Let k(z) = -z - 238. What is 5*k(o) - 3*u(o)?\nAnswer: o + 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -180601 divided by -4?\nAnswer: 180601\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m**2 - 17*m. Let d(b) = 2*b**2 + 3*b. What is 34*d(c) + 6*h(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -9. Suppose 30 = y*w - 2*w. Let g be 2\/3 - w\/15. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 557 and 4317307.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 36 - 15 = 0. What is the remainder when a is divided by 7\/(-21) - -11*2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 3. Let p be x(-8). Calculate the highest common factor of 190 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-10)\/45*27\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/585 and 41\/130.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 131264825 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -3\/2 (c) -0.67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 438.6 to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27234 + -46?\nAnswer: 27177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1. Let c(n) = -6*n + 5. Let b(i) = -i**2 - 67*i + 365. Let p be b(5). Calculate p*g(o) - c(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/406 and 75\/8359988?\nAnswer: 242439652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 4, -17, 10 in decreasing order.\nAnswer: 10, 8, 4, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 11, 33, 65, 107, 159, 221?\n\"Answer: 5*f**2 - 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8945 rounded to 2 dps?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:13 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a**3 - a**2 + 2*a - 3. Let h be j(-2). Let d = 71 + h. What is the units digit of ((-387)\/(-15))\/(d\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1384100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -38.8 * 166\nAnswer: -6440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1065)\/(-284)*(-84)\/(-35).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4 and -7\/750676?\nAnswer: 750676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llo when three letters picked without replacement from olllolllll?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -82 * 0.3\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 5*c. Let x be y(-7). Solve x = 5*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:37 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 2*b + 0*b**3 + 0*b**2 + 3*b - 11*b**3. Determine l(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 8. Let v be b\/((-1)\/(-6) + (-10)\/15). Solve 3*d - 5*n = 27, -v = -2*d + 4*n + 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 12711 + 12715 - 6*a - 25426 + 0*a. Let h(t) = 892*t. Determine n(h(u)).\nAnswer: -5352*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408317, -816636, -1224955, -1633274?\nAnswer: -2041593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**4\/6 - r**3\/3 - 11*r**2. Let j be x(1). Solve 31 + 0 = -j*c + 5*d, 3*c = 3*d - 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 300.13 + -298.13. What is the smallest value in -18, c, 0.5, 0.8, 1\/10?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121008213.\nAnswer: 3, 29, 463633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13278.5 + 13278. Which is the smallest value? (a) x (b) -0.22 (c) -5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 454175.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 11*n + 13*n + 3 - 1.\nAnswer: 29*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10445 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 8 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 572864793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6440 divided by -12.\nAnswer: -1610\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*q**3 - 12 - 27*q**3 - 24 + 4 - 20*q**3.\nAnswer: q**3 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w - 11992 = -35*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*r + 12. Let l = -104\/3 + 35. Which is the second smallest value? (a) 0 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -1\/9*y**3 + 0 + 1\/36*y**4 - 1\/2*y**2 - 9*y. Let z(k) = 0. What is k?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -4\/11 (c) -392\/1065\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 2*u**3\/3 + u. Let v be 13*(-28)\/(-16) - (-3)\/(-4). Let i(w) = -3*w - v + 7 + 15. What is c(i(b))?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29727 - -15400. Let v = -300938\/21 - i. Let b = 17\/6 - 37\/6. What is the common denominator of v and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107474698 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2206 = 3*i - 702, -5*i = -10. Is p a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 79. Differentiate 0*a**3 - 4 - a**3 - j*a**3 + 1 wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-32)*(-2)\/(-12). Suppose 3*h - 119 = -4*v - 124, 2*v + 4 = 0. Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t**4 - 13*t**4 + 21*t**4 + (-4*t**4 + t**4 - 6*t**4)*(-7 + 16 + 5)*(-2 - 1 + 7) to the form u*t**3 + q*t**2 + m + o*t + w*t**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/4)\/(((-8)\/2)\/32). Solve 0 = 5*v - 3*i - y, -4*i - 4 = -v - 8*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16770607.\nAnswer: 7, 1489, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2274963287.9999833 + 2274963184. Let b = -104 - m. Round b to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**6\/6 + y**5\/20 - 7*y**4\/24 + y**3 - 67*y**2 - 2. Let s be t(2). Calculate the greatest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f + 2656*f**2 - 2652*f**2 + 8*f to u*f + y + n*f**2 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -349128?\nAnswer: -34912b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 + 82*v - 33)*(1 - 2 + 0) to the form x*v + u and give x.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a + 13*a - 69 + 6*a + 2*a**3 - 67 to the form g*a + h*a**3 + z + y*a**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 1 - 7. Suppose 4*q = -2*h + 2, 2*q + 0*h = -2*h. Let b(p) = p**2 - 2*p + 1. Let f be b(q). Solve f = -v + 3 + u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125888000 rounded to the nearest one hundred thousand?\nAnswer: 125900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-4)\/7)\/(4\/14). Let d = 1.2 - 1.5. Which is the nearest to 1? (a) d (b) x (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1208*n + 481*n + 1633*n + 575*n.\nAnswer: 1481*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.51 (b) 1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1093 and 347890970.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 6*x + 5. Let i(v) = v**3 - 4*v**2 + 3*v. Let q be i(3). Suppose q = -n - 2*n - 30. Let o = n - -16. Calculate j(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - (-1233)\/243 - (-1396)\/108. Let p(v) be the second derivative of 0*v**3 - t*v - 1\/3*v**4 + 4*v**2 + 0. What is the derivative of p(s) wrt s?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/176)\/(405\/(-2160))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (690838 - 8) + (31 - 22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -186, -205, -226, -249, -274?\n\"Answer: -b**2 - 16*b - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Let x(z) = 8*z**3 + z**2. Let o be x(1). Suppose 0 = -34*c + 31*c + 9. Solve k*q + c*q = o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42593 or 42615?\nAnswer: 42615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = p - 3*d, -4*d = -2*p + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1577, 3, 8, 20 in ascending order.\nAnswer: -1577, -1, 3, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (12 - (9 + 1)) + 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -561158, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*3\/(-2)*-4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566*z**2 + 266*z**2 + 301*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -1 (c) 49 (d) -9\/4 (e) -3\/7 (f) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 77*p**2 + 5655*p - 130. Let s be l(-46). Let u be 0 - 3\/(3\/(-4)). Suppose 0*b = -u*b + 320. What is the greatest common divisor of s and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 8 = 0, -1231*p - 62 = -1199*p + 5*a + 216 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106865?\nAnswer: 5, 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/y)\/(y\/(y*y**(4\/3)))*(y*y\/(y**(-1\/4)*y))**(-4\/15) assuming y is positive.\nAnswer: y**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {v: 4, g: 1, d: 2, j: 6, x: 3, o: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 287058601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - -60. What are the prime factors of b?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7746 and 288.\nAnswer: 371808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**9\/168 - k**5\/15 - 6*k**2. Find the third derivative of r(m) wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z = 6495 - 239. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1073328 and 39\/16676.\nAnswer: 11806608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g + 6*g - 2*g)*(-7 + 3 + 2) + 3*g + 0*g - 4*g)*(0 - g + 0).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(1463\/(-38)))\/(2*(-2)\/16)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1350 and 47\/27.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -45.77. Let k = -0.73 - p. Is 0 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.54 + 0.24. Let d = f + 4. Which is the second smallest value? (a) d (b) 4 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkcjjjcccjjccjjjccc. Give prob of picking 1 j, 2 c, and 1 k.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 796, 0.07, 0.4, -2 in ascending order.\nAnswer: -2, 0.07, 0.4, 796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-30)\/75*(-6)\/16). Solve 5*s = 15*s + u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, l: 11}. What is prob of picking 1 m and 1 l?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 6, -4, -71, -10, -2\/19 in descending order.\nAnswer: 6, 1\/2, -2\/19, -4, -10, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1982.33081 to the nearest 10.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(605) + (-1 + sqrt(605) - sqrt(605)) + -1 + -6*-1*sqrt(605) - -6*3*(sqrt(605) - sqrt(605)*2)))**2.\nAnswer: 1694*sqrt(5) + 73254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-384)\/(-180) + (-4)\/30. Let m(f) be the first derivative of 2\/3*f**3 + 0*f**t + 2 + 3*f. What is the derivative of m(l) wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - 11010?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5987 + -3391.3. What is q rounded to the nearest ten?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in minutes?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, -0.2, 1\/3, -657?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 12\/353 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-45)*(w*w*w**(-3))**28 assuming w is positive.\nAnswer: w**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/94*(26\/1170*-15)\/(15\/30).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -241, 11, -3 in decreasing order.\nAnswer: 11, -3, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 10:56 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*1*sqrt(204) + -1*1*sqrt(204))\/(sqrt(588) - sqrt(588)*-2 - (sqrt(12) - 1*sqrt(300))).\nAnswer: -2*sqrt(17)\/25 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - s - 1241, w - s - 176 = 73. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -45\/4. Let b = -0.08 + 1.08. Let j = b + -4. What is the closest to 0 in q, j, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-30)*4)\/((-129)\/15).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52884 - 0.3?\nAnswer: -52884.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32860881504 and -1.5271.\nAnswer: 32860881502.4729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 - 28*z**2 + 107*z - 2073. Give b(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*r - 1947 + 2121 = 4074 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - 0.5. Let i = l + 2. Which is the nearest to 2? (a) i (b) 2\/25 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/8)\/((-27)\/(-18))*-2. Put r, 1, -1, 0 in decreasing order.\nAnswer: r, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 57*q - 171. What is u(54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 6\/9*-3. Let d = i - -8. Let j(f) = 4*f**2 - 1. Determine j(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/465 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 342404810 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1015926, -1015925, -1015924?\n\"Answer: r - 1015927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.2004581 to two decimal places.\nAnswer: 49.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 11*h + 7. Let c be l(0). Let i(m) = -m**2 + 14*m - 16. Let s be i(c). Solve -29 = 4*f - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2 - 8 = 6*p - 0*p, -8*p - 56 = -40*p + 6*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -2) + 1 + 2 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 3 - -5 - (-1)\/1. Let s(k) = -5*k**3 - 14*k - 109. Let n(f) = 2*f**3 + 6*f + 54. Let l(h) = -7*n(h) - 3*s(h). Give l(u).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/2 + 125186*d - 250374 = 0. What is d?\nAnswer: -250374, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/18*(-9)\/(-7). Let v = -25 - -179\/7. Let o = n - v. Which is the closest to -1? (a) o (b) -2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1664079*h**3*u - h**3 - 1761*h*u - 34*h + 1 wrt h?\nAnswer: 9984474*h*u - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*m + 2*m + 63, 3*b + 4*m = 221. Let v be 0 - 9\/((-45)\/10). Suppose 2*i + 9 = -i, v*i + b = 5*n. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -18*f**2 + 5*f + 9. Determine w(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-4)\/(-3)*3. Solve h - 5*y = -22, -g*y + 22 = 4*h - 2*y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2. Let z(y) be the first derivative of -162*y**2 + 98. Determine h(z(g)).\nAnswer: 209952*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + -1.5. Let h = -3 - -3.1. Which is the third biggest value? (a) v (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/(-4) + 7)\/(2\/(-205)). Let g = -406 + n. Solve 3*j + 4*k + g + 25 = 0, 5*j + 20 = -k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -3, 10, -996 in descending order.\nAnswer: 10, 5, -3, -4, -996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3 - 13683*g**2 + 5436*g.\nAnswer: 6*g - 27366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q\/(q*q**(-3)))\/q)*(q*q**(1\/11))\/q*q*(q\/(q*q**2)*q)\/(q\/(q\/q**(-1\/8))))**(-2\/33) assuming q is positive.\nAnswer: q**(157\/1452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0*t**2 + 25\/6*t**3 + 0 + 1\/12*t**4 - 15*t. Let z(n) = -n**2. Calculate o(z(a)).\nAnswer: a**4 - 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(6\/4) - -24. Suppose 32 + k = 5*i - 2*c, 2*i - 4*c = 20. Suppose 0 = -12*b - 83 + 347. What is the remainder when b is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206\/296 + (-12)\/16.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19228?\nAnswer: 2, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.257 and 2.6?\nAnswer: 1.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (-32 - 5 - -17)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -10*k - 6*b + 10, 97 - 87 = -2*k - 4*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/48 + (-634)\/8. Let u be w\/(-130)*2*1. Let d be (-22 - (-33)\/3) + 12. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*-2868213.\nAnswer: -146278863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*p + 4, 12 = 4*b + 13*p - 11*p. Suppose b*j = -4*m + 3112, 3*j = -4*m - 478 + 2811. What are the prime factors of j?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3620 is divided by 1021.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g + 1. Let h(j) = j + 6. Let c(u) be the second derivative of -u**3\/2 - 17*u**2\/2 + 35*u. Let w(m) = -6*c(m) - 17*h(m). Determine w(k(d)).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 28*r**3 - 123272*r**2 - 3527540*r + 2055984 = 0.\nAnswer: -29, 4\/7, 4431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibddd. What is prob of sequence ddi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 19*d**2 - 50682*d + 50681. Calculate c(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-364 + 0 + 2). Let y be k\/2 + (7 - 9). Suppose 43 + y = 2*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 17. What is the common denominator of d(5) and -93\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1033865 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5\/4))\/s*s**(2\/23)*(s**(-2)\/s)**(1\/15) assuming s is positive.\nAnswer: s**(-627\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than -3.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (6 + -2 + 27 + -29 + -10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101920 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbm when three letters picked without replacement from {m: 1, b: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 5*f**4\/12 + 20*f**3\/3 + 30*f**2 - 244*f + 216. Let p(m) be the first derivative of k(m). Factor p(j).\nAnswer: 5*(j + 2)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) -2 (c) 4\/9 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 1, 2\/1451 in descending order.\nAnswer: 1, 0.5, 2\/1451, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*l - 2*l, 2*l - 6384 = -5*i. Suppose 2*d + i = 7*d - 3*s, 0 = d + s - 254. List the prime factors of d.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39442 + 39447. Sort -1, -10, -2, k, 3 in ascending order.\nAnswer: -10, -2, -1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1745)\/40)\/(3\/(-444)) - 4\/(-8)?\nAnswer: 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5 - 32*a**4 + 12*a**3 + 368*a**2 - 448*a - 768.\nAnswer: 4*(a - 4)**3*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 12*k + 54. Let z be s(5). Suppose 0 = 11*d - 14*d + 4*n + z, -3*d + 16 = -n. What is the lowest common multiple of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7916.\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/39*63 + 6\/39. Put 13, -3, o, -2 in decreasing order.\nAnswer: 13, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374612 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1840 and 805?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qerrrrraqerbqrebbrbb. What is prob of picking 2 r, 1 b, and 1 e?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712959 is divided by 8290.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**4\/12 + 4*o**3\/3 + o**2 + 58*o. What is u(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 4*g - 1. Let v(k) = k - 1. Let l be v(4). Suppose -13 = p + 2*f, 0*p = -l*p - f - 24. Is 20 a factor of c(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258652.\nAnswer: 2, 23, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018743 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*b = 1274, 55*x - 3810 = 52*x - 3*b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = -102 + 422. Suppose 13 = -g*z - 27. Suppose r + 2 - 1 = 0. Sort z, -3, r.\nAnswer: -3, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2320, 0, 3, 30 in descending order.\nAnswer: 2320, 30, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 24 and 27445\/1168 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-15)*2*2\/(-108).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-60))\/(((-5)\/20)\/1). Which is the third smallest value? (a) 3 (b) j (c) 3\/20 (d) 0.5 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22771 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 + 968\/9.\nAnswer: -2*(r - 22)*(r + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - j = -0*h + 13, -16 = -4*h + 4*j. What is the units digit of -3 + 1 + 84\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/15352 and -7\/20.\nAnswer: 76760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5 + 76*j**4 + 8*j**3 - 3208*j**2 + 9204*j - 6084 = 0.\nAnswer: -13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*t - 188, 233 = 4*t - 2*p + 45. Let b = -43 + t. Factor 0 + 0*h**2 + 4\/7*h**3 - 2\/7*h + 0*h**b - 2\/7*h**5.\nAnswer: -2*h*(h - 1)**2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 4*g**2 - 6*g - 3. Let l be a(-5). Solve 7*u = l*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81438 divided by -6?\nAnswer: 13573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 802 - 774 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 9}. Give prob of picking 1 o and 2 d.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 4)\/((-2)\/8). Suppose 0 = -g + j*g. Solve -h + 2 = g, -4*r + 1 = -5*h - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 r when four letters picked without replacement from pprpprrrpr.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + (6 - 2)*1\/2. Let h be 125\/35 + (v\/7 - 2). Solve -h*i = -z, i + 3*z = z - 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z**5 - 586*z**4 - 1816*z**3 - 1536*z**2 + 256*z + 160 = 0. What is z?\nAnswer: -10, -2, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -378 + 380. What is the closest to -1 in 1\/7, w, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -14. Suppose 5*o + 33 = 16*o. Suppose 5*p = -15, o*p = -r*h - 7 + 33. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -14\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/9 (b) 2 (c) 1 (d) -60.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 569040?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.734 - -1.312. Let v = a + -29. What is v rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a millimeter in micrometers?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/3 + 364*t**3\/3 + 3982*t**2 - 52216*t\/3 + 53704\/3 = 0. Calculate t.\nAnswer: -137, -49, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 8 + 13)*(-3*z + 3*z + 2*z**2) + 2*z**2 + 7*z - 7*z.\nAnswer: 56*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56 and 0.12.\nAnswer: -55.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 5*g. Let h be y(-5). Suppose h*i + 2*i - 16 = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(17\/(153\/(-90)) + 11). Sort -1\/8, 20, k, 3\/7, -4 in decreasing order.\nAnswer: 20, 3\/7, k, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/6*(16\/(-14))\/((-49)\/(11662\/340)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0 + sqrt(117) + -5)*5.\nAnswer: -25 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 292, 578, 864, 1150?\n\"Answer: 286*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 82 - 166. Solve -11 + g = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p**(-2\/5)\/p)\/p)\/p*p*p*p)**(-31)\/(p\/p**0)**7*((p*p**(-1\/9)\/p)\/(p\/(p*p**(-2))))**19 assuming p is positive.\nAnswer: p**(-4352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 301340101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6 - -4)\/(1\/45))\/(-1). Let z(b) = -73*b + 15 + 135*b - k*b. List the prime factors of z(-5).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 + 9*g + 8. Let b be l(-8). Let n(d) = d + 2. Let v be n(2). Suppose 0*h = -v*h + b. What is the highest common factor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 41465 + (6 - 6) + 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(-4*z + 3*z - 2*z) + 6*z - 2*z - 2*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002339 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/44759 or -1?\nAnswer: -4\/44759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 5*r + 3. Let i be w(-5). Let m = i + 0. Suppose 4*s = 2*q - 26, -4*s - 1 = -m*s. Solve 4*d = -0*d + 3*n, -5*d + n - q = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 4 + -11 + (11 - 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3918292077 to the power of 1\/3, to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8966 + 0.8966. What is the biggest value in -1.35, g, -5, 2\/7, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 21.3.\nAnswer: 10.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1.1. Let d = l + 2.1. Sort 9, -1, d.\nAnswer: -1, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18681410 divided by -1\nAnswer: 18681410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/g)**11*g**(3\/14)\/g*g\/(g*g\/(g**(-3\/8)\/g)) assuming g is positive.\nAnswer: g**(-2025\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3 + 76304*q**2 + 915864*q + 2747808 = 0. What is q?\nAnswer: -6, 38164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10246 and 436.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 72\/(-30))\/((-24)\/(-5)). Let w(s) be the second derivative of 0 + x*s**4 + 4\/3*s**3 + 4*s**2 - 5*s. Give w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*y - 2*w + 109, 5*y + 85*w - 84*w - 10 - 16 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 - 384 - 2*f + 630.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161318257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 3 in increasing order.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3167 is divided by 243.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/23 (b) 1 (c) -3 (d) 33\/2 (e) -5 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2818364 plus -28?\nAnswer: -2818392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006143001 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 28 + 20. Let m be (-1 - -4)\/((-4)\/(-64)*s). Let b(d) = -d + 9. Let w be b(6). Which is greater: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -8\/9533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 65626, 5, -8 in decreasing order.\nAnswer: 65626, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 1. Let x(q) = q + 12. Let i(j) = -5*l(j) + x(j). Let v(m) = 3*m - 7. Let d(f) = -4*i(f) - 5*v(f). Let n be d(-5). Solve 6 = -4*a - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a613b3 (base 13) to base 7.\nAnswer: 45016534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21514 - -0.148.\nAnswer: -21513.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3.22, 1 in descending order.\nAnswer: 1, 0.4, -3.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 49*s - 2. Let m(d) = 33*d - 1. Give 7*m(r) - 5*u(r).\nAnswer: -14*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -1.6.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4597164 and 161\/10030176.\nAnswer: 110331936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, s: 9}. What is prob of picking 1 l and 1 s?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70746.31 litres?\nAnswer: 70746310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57.6 - -57.3. Which is the nearest to y? (a) 0.5 (b) 8 (c) -0.01 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9\/7, 4, -20, 7.5, -2\/23 in increasing order.\nAnswer: -20, -3, -9\/7, -2\/23, 4, 7.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -25*j + 7. Let c be a(-2). Suppose -3*h = 3 - c. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2658318)\/(-2) - (-4)\/2. Let m = -244 - -247. Suppose -a = m*z + 770839. What is z rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 69*v + 588. What is g(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t**3 + t**3 + 3*t**3)*(-4 + 8 - 3)*(81 + 29 + 48) to z*t**2 + q*t + w*t**3 + u and give w.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31 + 1 + 2)*-1. Let t(v) = 34*v - 1. Let q be t(2). Let i = q + -11. Calculate the greatest common divisor of i and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4653 - 11\/(66\/(-60)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(539) + sqrt(539)*-2 + sqrt(539))*-2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + 52. Let h = q + -41. Suppose 0 = 4*u - 1050 - h. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 7*p**2 + 0 + 0*p**3 + 1\/12*p**4 + 11*p. Let z(o) be the first derivative of w(o). Let x(v) = -11*v. Calculate z(x(l)).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + p - 6, 0*p + 2 = 4*d - 3*p. Suppose -4*a + d + 6 = 0. Suppose -x + 24 = -4*g, 0 = -a*x + 2*g + g + 63. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*n - 2, q + 5 = -600*n + 604*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t**2 + 0*t)*(3 - 3 - 3*t) + 43*t**3 - 14*t + 14*t.\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 34048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 869507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**15)\/r*r*r)\/((r\/(r*(r**(17\/3)\/r)\/r*r)*r)\/r) assuming r is positive.\nAnswer: r**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 867826.3 millimeters?\nAnswer: 867826300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -316*l + 21. Suppose 0 = -2*q - 20 + 28, -2*v + 5*q - 30 = 0. What is the units digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1051*v**3 - 630*v**3 - 971*v**3 + 4601*v**3.\nAnswer: 1949*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/23, 0.13669, -2\/5 in descending order.\nAnswer: 0.13669, -2\/23, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**3 - 14*v**2 - 15*v - 13. Let l(d) = -1591 + 1592 + 0*d**3 + d**2 + d + d**3. Let x(f) = 5*l(f) + m(f). Calculate x(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*u = -6952 + 6902 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825021.\nAnswer: 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 2:38 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71 + -2a44?\nAnswer: -2ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = 0, 0 = m - 3*m - 5*j. Calculate the highest common factor of 50 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 - 22)*(3 + 0 - 2)*(2*t**3 + 0*t**3 + 0*t**3).\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*i - 4404 = -1588 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 = 3*k, -p - 4 = -2*k + 1. Let l = k - 3. Factor 2\/9*v**2 + l + 2\/9*v.\nAnswer: 2*v*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15133 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 + -52. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-4 + 4 + 2)*(7*f - 3*f - 2*f - f - 1 + 1 + 3*f - 2*f - 4*f + (-1 + 3 + 0)*(3 - 2*f - 3) - 5*f + 3*f + f + f - 7*f + 0*f).\nAnswer: -52*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*j**3*v + 3*b*j**3 - 2*b*j**2*v - 25*b*v - 11095*j**3 - 22*j**2*v - j**2 wrt j?\nAnswer: -12*b*v + 18*b - 66570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30976029?\nAnswer: 3, 7, 337, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87947, 88476, 89361, 90602, 92199, 94152?\nAnswer: 96461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = c + 17, -4*q = -2*c - 12. Let v(r) = r**3 + 56*r**2 + 102*r - 322. Calculate the smallest common multiple of c and v(-54).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (7 + -11 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - k + 5 = 0, g = -5*k + 2*k - 7. Let s be g + (-4)\/((-4)\/1). What is u in 9 - s - 3*u**2 - 3*u + 0 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*i + 918 = -138*i. Which is the second smallest value? (a) -4 (b) -0.2 (c) i (d) 4 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113982 is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1113 and 1431.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28379587*g**2 - 342976*g + 77 wrt g.\nAnswer: 56759174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: a20ca8 (base 14) to base 16\nAnswer: 5346a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d0d13 + 5?\nAnswer: 2d0d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 73.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 4143*i + 127462. Give b(31).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3897824 * -63\nAnswer: 245562912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -67469*v + 269875. Calculate j(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*s + s. Suppose 3*a - a + s = 0. Is -5 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -263?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + 2. Let b = k - 2. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**5\/20 + f**4\/12 - f**3\/6 + f**2\/2 + 3*f. Let y(p) = 5*p**3 + 6*p**2 - 6*p + 6. What is 6*r(k) - y(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 275 - 278. What is the second smallest value in -0.7, -1\/2, f, -0.1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47216 is divided by 366.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7513246511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Suppose -4*n + h*j - 5 = 5, 2*n - 2*j + 8 = 0. Let b be (-6 - -2)*n + -1. Solve b*p + 0*p = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15765 is divided by 2627.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1111 and 11363?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.62714 to two decimal places.\nAnswer: -105.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4*t + 133*t**2 - 222*t**2 + 126*t**2.\nAnswer: 37*t**2 + 4*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -6236 >= -6261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, -10, -3, 5, 33 in descending order.\nAnswer: 33, 5, 1, -0.3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5724.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 19*l**7\/210 - l**3\/3 + 14*l**2. Differentiate q(x) wrt x.\nAnswer: 76*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*o + 78*o + 54*o + 37*o - 216*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -10. Suppose 0 = -k*z + 3*r + 39, 2*r + 23 = 3*z + 3*r. Let t = z - 14. Is -11\/2 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {j: 6, i: 3, k: 8}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 5019*u + 10026.\nAnswer: 3*(u + 2)*(u + 1671)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:36 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 t, and 1 i when four letters picked without replacement from {h: 8, t: 7, i: 1, d: 2}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 158520000 rounded to the nearest one million?\nAnswer: 159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (54 - 55) + 62\/2 + 2. Let f be 16\/r*(0 + (1 - 1)). Solve -h + 3*t + 8 = 0, -t + f = -h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - g - 1. Let f(d) = 6*d**2 + d + 5. Calculate -f(l) - 4*i(l).\nAnswer: -2*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 587419946 divided by -5\nAnswer: -587419946\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -160. List the prime factors of i.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 + -85. Suppose 4*u - j + 19 = 0. Solve 1 - 13 = u*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 5*i. Suppose -i*y + 3 = -6. Suppose 0*v - 2*v = 5*r - 18, 0 = y*v - 5*r - 52. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2809, 0, -1 in descending order.\nAnswer: 2809, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 17811 - 17811 + 137*s + (-1 - 2 + 4)*(2 + 7*s - 5*s - 3) as f*s + z and give f.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/4*2\/(-4)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*y - a**4 - 513605*a**3*y - 2*a**2*y + 2*a**2 - 625*a*y - 18*a - 46 wrt a?\nAnswer: 24*a*y - 24*a - 3081630*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + 24 + -8 + -5 + -8 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -406523621 + -1?\nAnswer: -406523622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -652?\nAnswer: -65.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Suppose -g*p + 1 = -c, -5*p = -0*c - 4*c - 4. Let m = 3 + c. Solve 4*n + m*j + 12 = 0, 2*j = -3*n - 2*j - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/6 - (-124)\/31. Factor l - 1\/3*p**3 + 0*p - p**2.\nAnswer: -(p - 1)*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, k: 2, s: 5}. Give prob of picking 1 k and 2 s.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4)**(2\/15)\/(x**0)**28 assuming x is positive.\nAnswer: x**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -497*z**2 - 21*z. Let y(x) = -99*x**2 - 4*x. Determine -4*s(q) + 21*y(q).\nAnswer: -91*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16256177803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.84 + -0.16. Let t = 2.6 + -3. Which is the nearest to -2\/7? (a) t (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3136?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824124897?\nAnswer: 3, 389, 235397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 6*y - 4*y - 23, 3*z - 29 = -5*y. Solve -4 = -y*b - 0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535828 is divided by 426?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.174 and 4?\nAnswer: -4.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 61 = -n, 57 = -0*n - n + 2*m. Let o = 363 + -280. Let g = o + n. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6285518 (base 12) to base 13\nAnswer: 3b0b016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40531225*c**3 + 118598*c - 9 wrt c.\nAnswer: 243187350*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.019 + 0.054. Round o to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -24. Let o = -15 - k. Which is the nearest to -0.1? (a) 1\/4 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-5))\/(8\/4))\/(-26*5\/390)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 192 = -2*g. Let v be (-576)\/30*25\/10*-1. What is the greatest common divisor of g and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11254, 11256, 11258, 11260, 11262?\n\"Answer: 2*d + 11252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1082*a**4 + 2603252 - 2603252 + (2*a**2 - 3*a**2 + 3*a**2)*(5*a**2 + a**2 - 4*a**2).\nAnswer: -1078*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-670)\/(-402))\/(1\/3*-1). Let r = -6 - -4. Sort r, 0.1, x.\nAnswer: x, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76049915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**6*f*f)**(-5\/11) assuming f is positive.\nAnswer: f**(-45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = m, -5*m = -6*m. Let j be ((-2 + -1)\/(-21))\/a. Factor -4\/7*l - 3\/7 - j*l**2.\nAnswer: -(l + 1)*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 - 1. Suppose 4*s = 5*d + 10, 0*s - 3*s - 3*d + 21 = 0. Suppose 0 = -s*u + 4 + 6. What is the units digit of q(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*i**5*t + 3*i**2*t + 113*i**2 + 2*i*t wrt i.\nAnswer: -1260*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 135479*f - 406456. Determine t(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 9:41 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 9*l - 27 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 9*i**2 + 0*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 6, 20?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k = 3*x + 6, 4*k + 9 = x. Put 3, 0.1, x, 0 in decreasing order.\nAnswer: 3, 0.1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108) + -3 + -4 + sqrt(108)*1 + sqrt(108))**2.\nAnswer: -288*sqrt(3) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 96*m + 309. Give k(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1216) + -2 + sqrt(1216) + 2 + sqrt(1216) + -1 + -4)**2 - (sqrt(475) + 5*(sqrt(475) - (sqrt(475) + 1)) - -1*(2 + sqrt(475)))**2).\nAnswer: -1080*sqrt(19) + 54360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/2)*a)**(-9\/8))**41 assuming a is positive.\nAnswer: a**(-1107\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 1, f: 1, h: 2}. Give prob of picking 1 h and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -15 + 10*m + m - 7*m. What is the remainder when 17 is divided by h(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 1, d: 1}. Give prob of picking 1 d and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 2*k + 282, -2182781*d + 368 = -2182777*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*t + 3. Let b = -162 - -173. Sort t, b, -1 in decreasing order.\nAnswer: b, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/10 + i**4\/6 + i**3\/6 + i**2 - 4*i. Let g be t(2). Let l(x) = -x**3 - 3*x**2 + 2*x - 5. Determine l(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 919\/236960?\nAnswer: 919\/236960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/7)*j)\/j*j)**(15\/2))**15 assuming j is positive.\nAnswer: j**(900\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/5 + 3\/(-15). What is the units digit of (2\/x)\/((-1)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 43*q + 9. What is f(-2)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -436*c**3 + 2751*c**2\/2 + 1727. What is the second derivative of u(f) wrt f?\nAnswer: -2616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(4 + (sqrt(272) + -2 + 1)*-5)*4)**2.\nAnswer: -2752400 + 144000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n + 1 = -2*s, 4*s = -8. Let m(j) = -17*j**2 - j. Calculate m(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -16*q - 10. Give k(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 22. Let q be (-35)\/2*d\/10. Let u be (-80)\/(-50)*(-5)\/(-2). What is the greatest common divisor of u and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 32870 = 4*b, 11*t = 5*b + 8*t - 41079. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -174, -222, -246, -240, -198?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/13 (b) -5 (c) -3\/10 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (4 - 0) + 7 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.44600933 + 4.9460093. Let w = 0.5 - r. Round w to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(192)*1 + sqrt(3) + (1 + 3*sqrt(3))**2 - (-3 + (-1*(sqrt(192)*-2 - sqrt(192) - sqrt(192)) - sqrt(192) - sqrt(192))*-1)**2.\nAnswer: -754 - 81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 0*u - 7\/2*u**2 - 1. Let g(n) = 4*n. Let c(b) = 5*g(b) + 3*q(b). Let p(a) = -2*a. Give c(p(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (60 + 56 - 23)*((2 + 2 - 3)*(-3*f + 2*f + 0*f) + (-8 + 7 - 2)*(f + 0*f + 0*f)) as y + p*f and give p.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*r*y**3 + c**2*y**2 + c*r*y - c*r + 353*c*y**2 + 3*r*y**2 - 2470*y**5 wrt y.\nAnswer: -12*c**2*r - 148200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42.64275ng?\nAnswer: 0.00000004264275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 64*u**7\/35 - 16*u**6 - 1101*u**5\/50 + 413*u**4\/20 + 78*u**3\/5 - 189*u**2\/10 - 1615*u. Determine g so that d(g) = 0.\nAnswer: -1, -1\/2, 3\/8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 - 2. Let y be n(-3). Suppose 186*u + 10 = 191*u. What is the third derivative of -29*j**4 - 8*j**u + y*j**4 - j**2 + 3*j**2 wrt j?\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 6\/41, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**4\/12 + 2*n**3\/3 + n**2\/2 - 2*n. Calculate the remainder when (1 - 1) + 12 + -2 is divided by j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64896, 65022, 65240, 65556, 65976?\nAnswer: 66506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269 + -301. Let u be 12\/((8\/p)\/((-4)\/24)). Calculate the highest common factor of u and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*m + 32. Let r(a) = a + 10. Let k be r(m). Let q(b) = 0*b**k - b**2 - 2*b**2. Let h(l) = -2*l**2. What is q(h(s))?\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (-8 + 4 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38450.885 rounded to the nearest ten?\nAnswer: -38450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0301 rounded to three decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -115, 0, -5 in descending order.\nAnswer: 5, 0, -5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 11:55 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 1. Let i be n(-2). Let w(b) = -11 - 4*b + b + 12 - 1019*b**i + b. Let d be w(1). What is d rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**6*z**2 - 3915*w**4*z**2 - 2*w**2*z**2 - 178*w*z**2 - 2*w*z wrt w?\nAnswer: -240*w**3*z**2 - 93960*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26800 and 7755?\nAnswer: 41566800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 - 3*p**2 - 7*p**2 - 3*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6422?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280\/13*y + 282\/13 - 2\/13*y**2 = 0 for y.\nAnswer: -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, g: 1, x: 1, l: 2, y: 1, p: 1}. What is prob of sequence fyxl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1488916650 and -13.\nAnswer: -1488916663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -1\/3, 1272, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-576)\/42)\/(-16) - 3*(-130)\/35 is divided by (-2)\/3 - 17\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 311, 623, 937, 1253, 1571?\n\"Answer: l**2 + 309*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*v - 8, 0 = 4*g + 11 - 3. Suppose 2*y + 2*y - 16 = v. Let o(w) = w**2 + 4*w. What is the tens digit of o(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -92, -87, -82?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w + 2 = 0. Let l = w - -63\/8. What is the common denominator of 31\/16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 4:39 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/390)\/((-15)\/25)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j**3 + 164*j**2\/7 + 62*j\/7 - 60\/7 = 0. Calculate j.\nAnswer: -10\/3, -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**3\/3 + n**2\/2 + 4*n + 2. Suppose 4*g = 4*d - 16, -13*g - 96*d + 95*d + 4 = 0. Give o(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 245*u*z**2 + 2*u*z + 15311598*u - 5*z**2 - 7*z wrt z.\nAnswer: 490*u*z + 2*u - 10*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4 - 4*c**3 + 32*c**2 + 4*c - 30 = 0.\nAnswer: -5, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 40 - 3*v + 9 - 8 + 4*v as x + i*v and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10305595 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 814 + 53 = 5*y - r, 2*y - 2*r - 342 = 0. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 12) to base 5\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**2 - 37*p - 2. Let h(k) = 155*k**2 + 630*k + 35. Let r(v) = -2*h(v) - 35*j(v). Find i, given that r(i) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62066?\nAnswer: 2, 31033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6665 = 4*v - 223496, 2*u + 2 = 0. What are the prime factors of v?\nAnswer: 11, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 10. Let z(a) be the second derivative of 0*a**4 - 3*a + 3\/20*a**5 + 0 + 1\/2*a**3 + k*a**2. What is the second derivative of z(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*c + 2*c + 3*c)*(1 - 2 + 0) - 25 - 6*c + 25)*(6179 - 3084 - 16*c - 3065) to the form g*c**2 + z*c + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 10*b - 11*b - 45, -2*p = b - 15. Solve -7*k = -p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73870813 is divided by 272586.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 rounded to the nearest 10?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16675 + 16678. Which is the fifth biggest value? (a) t (b) 4 (c) 10 (d) -98 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - 8939.\nAnswer: -8938.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(252))*2.\nAnswer: -24*sqrt(7) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 33*x**5\/20 - 351*x**4\/4 + 1392*x**3 + 384*x**2 - 8*x + 47. Factor o(t).\nAnswer: 3*(t - 16)**2*(11*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, e: 1, m: 5, y: 1}. What is prob of sequence nn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**(-15)\/(r**(-7)*r*r**4*r) assuming r is positive.\nAnswer: r**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 + -108. What is the second biggest value in 0.4, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269 bigger than 15893\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 951 = -3*i + 2*o, -5*i - 3*o = -954. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 - 2*p + 2. Let q = 5082 - 5083. Let z(i) = -i**2 + i - 1. Give q*a(h) - 2*z(h).\nAnswer: -3*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -2 + 0\/(-2). Let u be -2 + 4 - (0 - t). Let y(o) = 3*o**2 - 4*o - 95. Let s be y(-5). Solve s = -u*d + 3 + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.61846 millimeters to kilometers.\nAnswer: 0.00003461846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 412809 by -4.\nAnswer: -412809\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 500964 a multiple of 1221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31268717?\nAnswer: 107, 292231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -12*p + 10*p. Suppose -p*u = -3*d - 21, 0*u + 4*d + 20 = 4*u. Let z be 3\/u - (-3 + 52\/14). Which is smaller: -31\/5 or z?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 23, 2408 in decreasing order.\nAnswer: 2408, 23, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**7\/126 - g**6\/10 - 154*g. Factor z(h).\nAnswer: -h**4*(h + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(12\/(-60))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 571044, 1141990, 1712936, 2283882, 2854828, 3425774?\n\"Answer: 570946*a + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.42 + -0.02. Let d be -1 - -3 - (-3240)\/(-1440). What is the closest to 2\/93 in -2, -0.5, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -12. Solve 0 = 5*w - n*s + 20, 4*w - 3*s + 22 = 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -5*y - 3*z - 239, -3*z + 158 = -2*y. Let r = 75 + y. Let o(i) = -3*i + 1. Determine o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 4)\/((-2)\/(-4)). Let c(t) = 185*t**3 + 3*t + 3. Let u be c(-1). Let z = -180 - u. Sort -5, z, i.\nAnswer: -5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -384.\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -67*c - 164. Calculate the remainder when 145 is divided by t(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 + 101. Suppose -72 = -15*q + 108. Suppose -2*h = -4*j + 16, -8*h + 5*h + q = 0. What is the lowest common multiple of v and j?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 13.2 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 15. Solve -4*x - 3*n - h = -19, 2*x - 12 = 2*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 9*z - 1. Let s(f) = f**2 + 10*f + 2. Suppose -2*g = 5*r + 28, -40 + 14 = 4*g - 5*r. Let a be s(g). What is b(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264 - 75. Let s = b - 130. Suppose -24 = -2*j - 2*z + 2, 2*z = j - 10. What is the remainder when s is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5825 * 0.09354\nAnswer: -544.8705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.8742ms to seconds.\nAnswer: 0.0808742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 172744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z - 2. Let r be (2 - (-1 - 0)) + -1. Suppose -10 = -r*c, -w - 4*c = w - 14. Let t be n(w). Solve 2*x + 5 + t = -2*a, -3*x + 3*a - 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202104900 rounded to the nearest one hundred thousand?\nAnswer: 1202100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13690950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1867\/4746?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 31. Suppose 0 = -3*q + 3*b - p, -2*q - 5*b + 7 = -1. Let v(y) = -y - 2. Let w be v(q). Solve -3*c - w = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4180 = 3*a - 2*j, -5*a - j - 898 - 6086 = 0. What is the tens digit of a\/(-36) + (-12)\/(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from gcgccggccc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s**3 + 5*s**2 + 5*s - 7. Let g(b) = 6*b**3 - 2*b**2 - 2*b + 3. Let z(c) = -5*g(c) - 2*k(c). What is the derivative of z(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2 = 7, -5*l = 3*o - 97. Solve 12*d = 7*d + l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200238 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20614371.833 - 20615343.8330441. Let x = y + 972. What is x rounded to six dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17383, 34304, 51225?\n\"Answer: 16921*z + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (5 + 9) - 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) 1 (c) 1\/40 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 19\/24*p**4 - 10\/3*p**3 + 0*p - 1\/120*p**6 - 120*p**2 + 1\/30*p**5 + 0. Determine n, given that z(n) = 0.\nAnswer: -4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 3*s + s + (-1 + 1 + s)*(2 + 1 - 1) + 4*s - 3*s - 3*s - 4*s + 4*s + 2*s)*(-1 + 3 + 0)*(579 - 1180 + 583).\nAnswer: -144*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - r + 1. Let w = -33 - -34. Let h(n) = n**3 + n**2 - n. Let y be h(w). Give c(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - (-37 - -43) - -18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) -9 (b) -6925 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 16 = -32. Let m be (2*(0 + -4))\/((-87)\/(-45) + -2). Calculate the greatest common divisor of b and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101672 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -14*x**2 + 12*x + 10. Let m(z) = 5*z**2 - 4*z - 4. What is -17*m(n) - 6*y(n)?\nAnswer: -n**2 - 4*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 4. Let z be p(-1). Let l be (9 + (-130)\/20)*14\/z. Let c(b) = b**2 - 8*b + 9. Calculate c(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 275*l**2 - 4*l - 2. Let w = 518 + -520. What are the prime factors of k(w)?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -6.6435.\nAnswer: -7.0435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147861754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*y - 210857 = -213945 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owbf when four letters picked without replacement from bfosowkb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20712.9983897 - 20713. What is j rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 297232*h**6 - 475*h**5 + 965*h**2 + 50907*h wrt h.\nAnswer: 35667840*h**3 - 28500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.6, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522979?\nAnswer: 173, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 7*g - 2*g + 85, 4*g = 3*a - 103. Is (-11)\/g + 123\/2 + -5 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -194*n**3 + 6*n**2 + 19. Let p(r) = 194*r**3 - 7*r**2 - 22. Determine 6*p(y) + 7*z(y).\nAnswer: -194*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -107801*p**2 + 109*p - 101123087 wrt p?\nAnswer: -215602*p + 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/(-2)*(10 + 768\/(-80)) + -5.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - d**2 + 12*d**3 - 18*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 919884613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 356*n**3 + 64*n**2 + 15*n**3 + 7*n**2.\nAnswer: -341*n**3 + 71*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -1. Let y = -0.66 + -0.04. Let s = 2 + -3. Which is the nearest to s? (a) 1\/4 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.5 in 4, 54\/79, 7?\nAnswer: 54\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8615 + -32302?\nAnswer: -22576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 10. Let p be 9\/15*(8 + 2). Let i be g(p). Let o(s) = -6*s - 7. Let w(t) = t + 1. Let v(l) = -o(l) - 5*w(l). What is v(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -603, -1202, -1801?\nAnswer: -2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 619719943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1533876463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185876113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04761 + -13.2972742?\nAnswer: -13.3448842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -30562.687 to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 196556520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -791 - -539. Let l = -251.999891 - v. Round l to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3360923.3 take away -0.150659?\nAnswer: -3360923.149341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - n = 4699, 1151 = f - 2*n - 3*n. Let a = -3566\/3 + f. Find the common denominator of 111\/10 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8799*m**4 - 2*m**2 - m + 61 wrt m?\nAnswer: 211176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 24 + 0 + (-3 - 1 + 2)*(0 + 0 - 2))*(-c**4 + c**4 + 2*c**4).\nAnswer: -52*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 282 = -120 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 - 15 = -2*g, u = 2*g - 15. Solve -3*q + 18 = -3*t, -15*t + 12*t - 2*q + g = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4215031 is divided by 4977.\nAnswer: 4489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9741 - 9740.9. Is 69 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.36459g in tonnes?\nAnswer: 0.00007636459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 2, n: 2, r: 1, d: 4}. What is prob of sequence dn?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31466876.9845167 - 5089888.9843197. Let i = n - 26376926. Let f = 62 - i. Round f to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -40. Suppose -4*k + 59 = 3*l, l - k = 2*l - w. Calculate the greatest common factor of 14 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 779 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0*n + 3. Suppose 0 = -n*m - 0*m + 57. What is the units digit of (-5)\/(-10) - m\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*z = -106*z + 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2}. Give prob of sequence rr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 114317?\nAnswer: -22863.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6966.98+14\nAnswer: 6980.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h - 16 = -28*h. Suppose 0 = -6*g - h + 20. Solve -b = 2*s - 2, -2*s - g = 2*b - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r + 342210*r**3 - 34*r - 342139*r**3.\nAnswer: 71*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 2*c + 12 = 23*v, 2*c = 2*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 22*b**3 - 42*b**2 + 6. Let z be l(2). Let t(d) = -4*d + 55. Determine t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3\/4, -8\/5 in decreasing order.\nAnswer: 0.04, -3\/4, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85.595 - -85.2. Round u to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 454 or 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-9))\/(-5))\/(0 - (-55)\/(-33)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 5*i**2 + 2. Let u be (2*1)\/(8\/(-20)). Let g be v(u). Let r(k) = g*k + 0 + k - 2. Give r(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 760 = -4*r + 240, 4*r = 12. Suppose 4*g = -2*l + 52 + 22, 0 = 3*g - 4*l - 61. Calculate the highest common factor of u and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 14*f**2 - 23. Is z(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:28 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -3344.\nAnswer: -3343.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -292*c - 719*c - 110*c - 721*c. Let x(h) = -2*h. Determine v(x(s)).\nAnswer: 3684*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6721 and 47047.\nAnswer: 47047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12565 (base 8) to base 11\nAnswer: -4144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35924, 71845, 107764, 143681, 179596, 215509, 251420?\nAnswer: 287329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58587, -234652, -528187, -939192, -1467667, -2113612?\nAnswer: -2877027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - 93*f**2 + 537*f - 844. Give u(40).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28917*y**2 - 3 - 3*y**3 + 156*y**5 + 29030*y**2 + 402*y**5 + 3*y**3 wrt y.\nAnswer: 33480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1764) + sqrt(1764)*1) + 5*2*sqrt(1764) + sqrt(1764))\/(6*sqrt(1575)*4).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0 - 1\/2*i**4 + 3\/2*i**3 + 9*i + 0*i**2. Find the second derivative of u(h) wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/120 + o**5\/30 - 5*o**4\/24 + 106*o**3\/3 + 69*o**2. What is the units digit of p(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*p**4 + 4*p**2 - 23*p**4 + 3*p**2 wrt p?\nAnswer: -288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000027561545 rounded to seven dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 10.45, -1\/2, 4, -6183?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516*h = 508*h + 16. What is the greatest common divisor of h and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 9*p + 9*p + 2*p**5 + (-p**3 + 3*p**3 + 0*p**3)*(-2*p**2 - p**2 + p**2).\nAnswer: -2*p**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 10882\/7 and 1556 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1 - -5) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**6 - 3*q**5 + 103563*q**3 + 5360627*q**2.\nAnswer: -360*q**3 - 180*q**2 + 621378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12528?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 236\/3 in 4, 0.2, -0.2, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 30 - 16 - 85 + 33 - 13*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -2*d + 12, -2*d + 27 = 5*z + 2*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 2*u**3\/3 + 25*u**2 - 3*u - 1779. What is n(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/9)*i*i**(-7)*(i\/i**(1\/4))**(-18)*((i**(-1)\/i*i)**(1\/30))**(14\/9) assuming i is positive.\nAnswer: i**(-5339\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 335065751 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110045 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*35*4\/(-28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**5\/3 + 25*k**4\/3 + 20*k**3\/3 - 80*k**2\/3 - 160*k\/3 - 80\/3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5512 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7483 divided by 6\nAnswer: -7483\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 245, 392, 539, 686?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 5*y - 3. What is the tens digit of z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 7*g - 3140. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 252.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184756924 + a - 184756924.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -173333*p**6\/40 - p**5\/60 + p**2. Let m be j(1). What is m rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1293896 by 20.\nAnswer: -323474\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 3}. What is prob of sequence yyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 = -50. Let c = 2 + y. Suppose 4*x = -5*j - x + 75, 0 = -4*j - 2*x + c. What is the remainder when j is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6737586 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10 - 13*r - 15 + r**3 + 13 + 8*r**2 - 2*r**3. Let h be q(6). Suppose 3*p + 2*j - 7 = 0, p - 3*j + 3 = -2. Sort h, p, -3.\nAnswer: -3, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 25*i**2. Let p(j) = -2*j**2. Suppose 2*f - 2 - 2 = -4*b, 0 = 5*b + 10. Let z(d) = f*x(d) + 70*p(d). Let t(m) = -2*m. What is z(t(r))?\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24914 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 117 + (43 + -18 + -5 - 41) + -2\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*(z*z*z\/((z*z\/(z**(-4\/9)*z))\/z*z*z))\/z*z**(-1)*(z\/(z*z*z**2))\/z*z)\/(z**(1\/4)\/(z**(-3)\/z*z))**(-13\/3) assuming z is positive.\nAnswer: z**(455\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 57772206127 + -0.179\nAnswer: 57772206126.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1155064 or -1155067?\nAnswer: -1155064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16320034.\nAnswer: 2, 17, 37, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6970)\/340*60\/(-3075).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-40)*-2*(-109)\/(-109)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 4, 10, 1 in increasing order.\nAnswer: -5, 1, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1668154 divided by 2?\nAnswer: -834077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9 - 12 - 66*i**2 + 3. Let c(l) = 4*l**2. Calculate c(j(d)).\nAnswer: 17424*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:12 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512123 (base 12) in base 15?\nAnswer: 5908dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 12380*s. Let w(a) = -2*a**2. Calculate w(l(h)).\nAnswer: -306528800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2643204 and 51756?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 2*z**3 - 3*z**3 + (4*z**2 + 4*z - 4*z)*(-9*z - 4*z - 3*z).\nAnswer: -65*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-16) + (-429)\/(-8). Suppose 0 = -127*c + 125*c. Suppose -l*t + 56*t = c. Solve -u - 2 + 4 = t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24282 is divided by 2320?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -182.59 to the nearest integer.\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (83 - 0) + 2 + (-7 - (21 - (-19 - -42)))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*t - 2. Which is the nearest to 1? (a) 2 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -6. Let s = 3.6 + j. What is s rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-442)\/(-68) + 2\/(-4). Solve -k = -a - d, -2*a = -2*d - 3 - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1438251 * 0.6\nAnswer: 862950.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6527063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventy-one fifths of a second?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 5)\/(-999)*2. Let i be 1\/(-2)*(2 - 4). Are v and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49, -112, -185, -268, -361?\n\"Answer: -5*d**2 - 48*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*((-160)\/25 + 6). Solve 5 = 6*v - l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 1. Let o(k) = a + 3 - 2*k - 4. Let l(b) = -b + 0 + 0. What is l(o(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 59\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137.000001288 + -137. Round i to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-20)*-5)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -1. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 3*m**2 - 57*m. Let s(w) = 2*w**3 - 7*w**2 + 114*w. Give 14*j(a) + 6*s(a).\nAnswer: -2*a**3 - 114*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1240071 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 947992420 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18538, -18412, -18288, -18166, -18046, -17928?\nAnswer: -17812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 1, l: 2, g: 3, m: 3, v: 1}. What is prob of picking 1 g and 1 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 - 765\/8. Calculate the common denominator of 647\/(-65) - (-2)\/13 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232362658*d**5 + 19102415535*d**4 - 86277698396*d**3 + 90634260867*d**2 - 58392656*d + 9408 = 0. Calculate d.\nAnswer: 8\/24823, 3\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 133*b**2 + 252*b - 167. Is s(-106) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 0*i**2 + 1\/2*i**4 + 0*i - 2*i**3 - 21. Factor j(p).\nAnswer: 2*p**2*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 19 (c) 9 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52.364 - -0.236. Let q = 53 - u. Which is the third smallest value? (a) -0.5 (b) -4 (c) -1\/4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*l - 196 - 515 - 347 = 0. Solve -l + 3 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2664\/185*710\/3 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x - 116. Let m be w(0). Let t = m + 276. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*b - 356 = 0, -2*b - 162 - 22 = -y. Let l be 220\/y - (-2)\/(-9). Solve -5*t - l = n + 11, -3*n - 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + g = -4*i - 4*g - 7 + 17, -2*i + 26 = -3*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 640*d**2 + 6917*d + 6. What is j(11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581516406.\nAnswer: 2, 7, 71, 2597099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 2*q**3\/3 + 25*q**2\/2 + 50*q - 40. What are the prime factors of b(-13)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/42)\/((-112)\/84)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-4)*(-1 + 0 + 5). Let d be 10\/12*(-2)\/((-40)\/l). Let v = 1.6 - -0.4. Is v at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 25262*t - 303119. Determine s(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55 - -601?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 45249012 divided by 2513834\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/((-1050)\/1260*(-8)\/10).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(1 + 6\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 271131036082.71+0.1\nAnswer: 271131036082.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/3 - 1172*i\/3 - 391 = 0.\nAnswer: -1, 1173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583 = 17*g - 2171. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10522 (base 7) to base 6\nAnswer: -20154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111000 (base 2) in base 16?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10b613 - bc?\nAnswer: 10b557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/23)\/(a*a*(a\/a**(-4))\/a*a*a*a*a))\/(a**(3\/8))**20 assuming a is positive.\nAnswer: a**(-809\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d**2 - 11*d**2 + 35*d**2)*(-5 - 1 - 6).\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 213 and 12496.\nAnswer: 37488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 111*j = 541 + 1139. What is the nearest to 0 in 0.13, -0.2, j, 5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2815006.81224?\nAnswer: 2815010.81224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x + 0*x + (x - 5*x + 3*x)*(-2 + 2 - 2) + 54*x - 55*x + 24*x)*(18*x**2 + 51*x**2 - 4*x**2).\nAnswer: 1690*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 93716*l + 187428. What is i(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q**2 - 2*q**3)*(q**2 - 4*q + 4*q) - q**2 + q**2 - 2*q**5 + 25*q**3 - 25*q**3 + 20*q**5.\nAnswer: 16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*n - 64*n - 65*n - 54*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2287*a - 1146*a - 1136*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 181.8 (b) 25 (c) 5 (d) 0 (e) 4\/7 (f) 0.4 (g) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 503030.\nAnswer: 2515150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -23.9 (c) -2\/11 (d) -4 (e) 15 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1450\/6670)\/(5\/4))\/18.\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 1:35 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.72 + 0.62. Which is the fourth biggest value? (a) g (b) 0.5 (c) -3\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4902813 < -4902812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 14 = 2*p, -p + 8*p = 2*p + 44*c + 205 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 21. Suppose 5 - 13 = -d*s, s = -4*x + 110. What is the remainder when 321 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -942 + 87. Let u = 355 - r. What is the greatest common divisor of 50 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 613*w**2\/4 - 29359*w\/2 - 3120.\nAnswer: (w - 96)*(613*w + 130)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1, 5, 7, -4 in descending order.\nAnswer: 7, 5, 1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = n + 3*v, 3*n + 138*v - 133*v + 17 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 208 divided by 52\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, a: 3, d: 3}. Give prob of picking 2 w and 1 a.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719665302.\nAnswer: 2, 3, 5023, 23879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*g**2*q + 413*b*q + 476*b + g**3*q - 2433*g**3 - 83*q wrt q.\nAnswer: -2*b*g**2 + 413*b + g**3 - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -249*s**3\/2 - 2*s + 163. Let i(l) = 4*l**2. Calculate m(i(a)).\nAnswer: -2988*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 + 2*t + 1. Let z be r(4). Let w be (z - -4)\/((-3)\/2). What is the second derivative of -p - 3*p + p**4 + 0*p - w*p**4 wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**2 - 6*l - 5. Let z be b(-1). Sort z, 1, -13 in decreasing order.\nAnswer: 1, z, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56115067 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 5:00 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-9*w**3 + 393*w**3 - 44*w**3) + 3*w**3 + 2*w**3 - 4*w**3 + (-w + 5*w - 2*w)*(-1 + 1 - w**2).\nAnswer: 679*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12151 = -3*l + 23*l - 10049. Calculate the greatest common factor of 105 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 19842216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -648444*h**2 - 3943347*h wrt h?\nAnswer: -1296888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.009 and -28?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140941603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)*(c\/(c*c*c*c*c\/c**(-1\/5)))\/c*(c\/c**(2\/5))**(-1\/14)*(c**(4\/3)*c*c**(1\/3))**(-3\/29) assuming c is positive.\nAnswer: c**(-19323\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(10\/6) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 0*j - 3*j**2 - 2*j**2 + j**2 as b + u*j**2 + i*j and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 3, t: 1, c: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 94989026582.\nAnswer: -94989026582.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 3. Let z(i) = -i - 1. What is x(m) + 4*z(m)?\nAnswer: -8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 21*h**2 - 4*h + 7. What is the remainder when 358 is divided by f(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}